sandpit/merge_atlas_nc.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Merge the stratification and SSH atlas files into one"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [],
   "source": [
    "from iwatlas import sshdriver\n",
    "\n",
    "\n",
    "import xarray as xr\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "\n",
    "from datetime import datetime"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "metadata": {},
   "outputs": [],
   "source": [
    "basedir = '/home/suntans/cloudstor/Data/IWAtlas'\n",
    "\n",
    "# climfile = '{}/NWS_2km_GLORYS_hex_2013_2014_Climatology.nc'.format(basedir)\n",
    "N2file = '{}/NWS_2km_GLORYS_hex_2013_2014_Stratification_Atlas_v2.1.nc'.format(basedir)\n",
    "sshfile = '{}/NWS_2km_GLORYS_hex_2013_2014_SSHBC_Harmonics.nc'.format(basedir)\n",
    "\n",
    "outfile = '/home/suntans/cloudstor/Data/IWAtlas-lite/NWS_2km_GLORYS_hex_2013_2014_InternalWave_Atlas.nc'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "metadata": {},
   "outputs": [],
   "source": [
    "ssh = xr.open_dataset(sshfile)\n",
    "N2 = xr.open_dataset(N2file)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "metadata": {},
   "outputs": [
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       "</style><pre class='xr-text-repr-fallback'>&lt;xarray.Dataset&gt;\n",
       "Dimensions:  (Nannual: 4, Nc: 225368, Nk: 80, Nkw: 81, Nmode: 4, Np: 454016, Nparams: 7, numsides: 8)\n",
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       "    xv       (Nc) float64 ...\n",
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       "    omegaA   (Nannual) float64 1.992e-07 3.985e-07 5.977e-07 7.97e-07\n",
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       "Dimensions without coordinates: Nannual, Nc, Nkw, Nmode, Np, Nparams, numsides\n",
       "Data variables:\n",
       "    cells    (Nc, numsides) int32 ...\n",
       "    xp       (Np) float64 ...\n",
       "    yp       (Np) float64 ...\n",
       "    nfaces   (Nc) int32 ...\n",
       "    dv       (Nc) float64 ...\n",
       "    modes    (Nmode) float64 0.0 1.0 2.0 3.0\n",
       "    dz       (Nk) float64 8.224 8.594 8.981 9.385 ... 233.3 243.8 254.8 266.2\n",
       "    z_r      (Nk) float64 4.112 12.71 21.69 ... 5.475e+03 5.73e+03 5.996e+03\n",
       "    N2_mu    (Nparams, Nc) float64 ...\n",
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       "Attributes:\n",
       "    Description:              SUNTANS History file\n",
       "    Author:                   Matt Rayson (matt.rayson@uwa.edu.au)\n",
       "    Created:                  2020-11-07 03:37:40.515658\n",
       "    Title:                    SUNTANS density stratification climatology\n",
       "    density_func:             double_gaussian_N2_v2\n",
       "    density_func_tex:         N^2(z) = \\beta_0 + \\beta_1  \\left( \\beta_6* \\ex...\n",
       "    Number_Annual_Harmonics:  4\n",
       "    ReferenceDate:            1990-01-01T00:00:00</pre><div class='xr-wrap' hidden><div class='xr-header'><div class='xr-obj-type'>xarray.Dataset</div></div><ul class='xr-sections'><li class='xr-section-item'><input id='section-0f3bd0a9-b81d-45c3-af4e-fd26554ef6c2' class='xr-section-summary-in' type='checkbox' disabled ><label for='section-0f3bd0a9-b81d-45c3-af4e-fd26554ef6c2' class='xr-section-summary'  title='Expand/collapse section'>Dimensions:</label><div class='xr-section-inline-details'><ul class='xr-dim-list'><li><span>Nannual</span>: 4</li><li><span>Nc</span>: 225368</li><li><span class='xr-has-index'>Nk</span>: 80</li><li><span>Nkw</span>: 81</li><li><span>Nmode</span>: 4</li><li><span>Np</span>: 454016</li><li><span>Nparams</span>: 7</li><li><span>numsides</span>: 8</li></ul></div><div class='xr-section-details'></div></li><li class='xr-section-item'><input id='section-56b71dee-0e70-4002-b604-8de7f227453b' class='xr-section-summary-in' type='checkbox'  checked><label for='section-56b71dee-0e70-4002-b604-8de7f227453b' class='xr-section-summary' >Coordinates: <span>(6)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span>xv</span></div><div class='xr-var-dims'>(Nc)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>...</div><input id='attrs-800ef66b-5b37-4e82-aed6-645e72cf8842' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-800ef66b-5b37-4e82-aed6-645e72cf8842' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-24f0cfaf-fdea-4a38-859b-2fd9bbae60f3' class='xr-var-data-in' type='checkbox'><label for='data-24f0cfaf-fdea-4a38-859b-2fd9bbae60f3' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>standard_name :</span></dt><dd>Easting</dd><dt><span>long_name :</span></dt><dd>Easting of 2D mesh face</dd></dl></div><div class='xr-var-data'><pre>[225368 values with dtype=float64]</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>yv</span></div><div class='xr-var-dims'>(Nc)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>...</div><input id='attrs-b5fdf7c7-4b51-4255-a2c3-0fa4e2c32fe9' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-b5fdf7c7-4b51-4255-a2c3-0fa4e2c32fe9' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-1991e7cc-8dc5-4aed-bcc0-521bb3dcbae4' class='xr-var-data-in' type='checkbox'><label for='data-1991e7cc-8dc5-4aed-bcc0-521bb3dcbae4' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>standard_name :</span></dt><dd>Easting</dd><dt><span>long_name :</span></dt><dd>Easting of 2D mesh face</dd></dl></div><div class='xr-var-data'><pre>[225368 values with dtype=float64]</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>Nk</span></div><div class='xr-var-dims'>(Nc)</div><div class='xr-var-dtype'>int32</div><div class='xr-var-preview xr-preview'>...</div><input id='attrs-6c9f47ee-c231-46fe-a292-891ece3d2f75' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-6c9f47ee-c231-46fe-a292-891ece3d2f75' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-35e92775-b148-46df-b2e3-011354b3def3' class='xr-var-data-in' type='checkbox'><label for='data-35e92775-b148-46df-b2e3-011354b3def3' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Number of layers at face</dd></dl></div><div class='xr-var-data'><pre>[225368 values with dtype=int32]</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>z_w</span></div><div class='xr-var-dims'>(Nkw)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>...</div><input id='attrs-e0a5b89f-261d-4ed7-b301-7d1a4ee1d67d' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-e0a5b89f-261d-4ed7-b301-7d1a4ee1d67d' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-8e160101-912c-4d3b-b584-2347c3b78d94' class='xr-var-data-in' type='checkbox'><label for='data-8e160101-912c-4d3b-b584-2347c3b78d94' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>standard_name :</span></dt><dd>ocean_z_coordinate</dd><dt><span>long_name :</span></dt><dd>depth at layer edges</dd><dt><span>units :</span></dt><dd>m</dd><dt><span>positive :</span></dt><dd>up</dd></dl></div><div class='xr-var-data'><pre>array([   0.      ,    8.224161,   16.818409,   25.799398,   35.184532,\n",
       "         44.991997,   55.240798,   65.950795,   77.142742,   88.838326,\n",
       "        101.060212,  113.832083,  127.178688,  141.12589 ,  155.700716,\n",
       "        170.931409,  186.847483,  203.479781,  220.860532,  239.023417,\n",
       "        258.003632,  277.837957,  298.564826,  320.224404,  342.858663,\n",
       "        366.511464,  391.228641,  417.058091,  444.049866,  472.256271,\n",
       "        501.731964,  532.534063,  564.722257,  598.35892 ,  633.509233,\n",
       "        670.24131 ,  708.62633 ,  748.738676,  790.656077,  834.459762,\n",
       "        880.234612,  928.069331,  978.056612, 1030.293321, 1084.880681,\n",
       "       1141.924473, 1201.535235, 1263.828482, 1328.924925, 1396.950708,\n",
       "       1468.037651, 1542.323506, 1619.952225, 1701.074236, 1785.846738,\n",
       "       1874.434002, 1967.007693, 2063.7472  , 2164.839985, 2270.481945,\n",
       "       2380.877794, 2496.241456, 2616.796483, 2742.776486, 2874.425589,\n",
       "       3011.998901, 3155.763013, 3305.99651 , 3462.990514, 3627.049248,\n",
       "       3798.490625, 3977.646864, 4164.865134, 4360.508226, 4564.955257,\n",
       "       4778.602405, 5001.863674, 5235.1717  , 5478.978587, 5733.756784,\n",
       "       6000.      ])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>omegaA</span></div><div class='xr-var-dims'>(Nannual)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>...</div><input id='attrs-8fcdb63f-2efe-4686-9f54-73c631f5bb6f' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-8fcdb63f-2efe-4686-9f54-73c631f5bb6f' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-a04c6fa7-60b4-427c-b670-4e0b1703bf98' class='xr-var-data-in' type='checkbox'><label for='data-a04c6fa7-60b4-427c-b670-4e0b1703bf98' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([1.992385e-07, 3.984770e-07, 5.977155e-07, 7.969540e-07])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>params</span></div><div class='xr-var-dims'>(Nparams)</div><div class='xr-var-dtype'>int64</div><div class='xr-var-preview xr-preview'>...</div><input id='attrs-ad97b813-4cd3-4196-8d14-567b990bab13' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-ad97b813-4cd3-4196-8d14-567b990bab13' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-f8be54f9-ce55-4ec9-95d2-01d703bb64a8' class='xr-var-data-in' type='checkbox'><label for='data-f8be54f9-ce55-4ec9-95d2-01d703bb64a8' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([0, 1, 2, 3, 4, 5, 6])</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-dc273fb9-6391-4d3b-8fa5-182a96789502' class='xr-section-summary-in' type='checkbox'  checked><label for='section-dc273fb9-6391-4d3b-8fa5-182a96789502' class='xr-section-summary' >Data variables: <span>(11)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span>cells</span></div><div class='xr-var-dims'>(Nc, numsides)</div><div class='xr-var-dtype'>int32</div><div class='xr-var-preview xr-preview'>...</div><input id='attrs-421bc1b4-bc51-4546-9e0a-62d3d37f02d2' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-421bc1b4-bc51-4546-9e0a-62d3d37f02d2' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-4759d858-a993-480f-b8b5-a6d697620392' class='xr-var-data-in' type='checkbox'><label for='data-4759d858-a993-480f-b8b5-a6d697620392' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>cf_role :</span></dt><dd>face_node_connectivity</dd><dt><span>long_name :</span></dt><dd>Maps every face to its corner nodes</dd></dl></div><div class='xr-var-data'><pre>[1802944 values with dtype=int32]</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>xp</span></div><div class='xr-var-dims'>(Np)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>...</div><input id='attrs-9b7ec36a-53ae-4f68-93bc-bab1a19d8ed4' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-9b7ec36a-53ae-4f68-93bc-bab1a19d8ed4' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-6c30db59-e21e-442e-9552-b34e20fd561c' class='xr-var-data-in' type='checkbox'><label for='data-6c30db59-e21e-442e-9552-b34e20fd561c' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>standard_name :</span></dt><dd>Easting</dd><dt><span>long_name :</span></dt><dd>Easting of 2D mesh node</dd></dl></div><div class='xr-var-data'><pre>[454016 values with dtype=float64]</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>yp</span></div><div class='xr-var-dims'>(Np)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>...</div><input id='attrs-376f070c-2630-4559-adf8-fd5964680ce2' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-376f070c-2630-4559-adf8-fd5964680ce2' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-49c03460-fe99-4aa6-9d2c-1140219b7277' class='xr-var-data-in' type='checkbox'><label for='data-49c03460-fe99-4aa6-9d2c-1140219b7277' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>standard_name :</span></dt><dd>Northing</dd><dt><span>long_name :</span></dt><dd>Northing of 2D mesh nodes</dd></dl></div><div class='xr-var-data'><pre>[454016 values with dtype=float64]</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>nfaces</span></div><div class='xr-var-dims'>(Nc)</div><div class='xr-var-dtype'>int32</div><div class='xr-var-preview xr-preview'>...</div><input id='attrs-922ee945-1b62-4a71-9071-98871ad49a4c' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-922ee945-1b62-4a71-9071-98871ad49a4c' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-ff52ac2c-b780-4784-a081-b43a308761af' class='xr-var-data-in' type='checkbox'><label for='data-ff52ac2c-b780-4784-a081-b43a308761af' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Number of cell faces</dd></dl></div><div class='xr-var-data'><pre>[225368 values with dtype=int32]</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>dv</span></div><div class='xr-var-dims'>(Nc)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>...</div><input id='attrs-3c3a01ec-3bfb-4544-9013-ea3ddbbf2a4c' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-3c3a01ec-3bfb-4544-9013-ea3ddbbf2a4c' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-5d5f34cb-2302-4aed-b6d9-9e60b2b29601' class='xr-var-data-in' type='checkbox'><label for='data-5d5f34cb-2302-4aed-b6d9-9e60b2b29601' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>standard_name :</span></dt><dd>sea_floor_depth_below_geoid</dd><dt><span>long_name :</span></dt><dd>seafloor depth</dd><dt><span>units :</span></dt><dd>m</dd><dt><span>mesh :</span></dt><dd>suntans_mesh</dd><dt><span>location :</span></dt><dd>face</dd><dt><span>positive :</span></dt><dd>down</dd></dl></div><div class='xr-var-data'><pre>[225368 values with dtype=float64]</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>modes</span></div><div class='xr-var-dims'>(Nmode)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>...</div><input id='attrs-55c8ee70-ad5d-44b1-8b44-654a2ff81a6a' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-55c8ee70-ad5d-44b1-8b44-654a2ff81a6a' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-86d7352e-eccd-4e33-9199-a2ef2bf86f0f' class='xr-var-data-in' type='checkbox'><label for='data-86d7352e-eccd-4e33-9199-a2ef2bf86f0f' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Vertical mode number</dd><dt><span>units :</span></dt><dd></dd></dl></div><div class='xr-var-data'><pre>array([0., 1., 2., 3.])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>dz</span></div><div class='xr-var-dims'>(Nk)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>...</div><input id='attrs-5d1d9ef8-3be9-4220-8e5b-6c65bfaa0238' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-5d1d9ef8-3be9-4220-8e5b-6c65bfaa0238' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-e3fe7d9a-ee10-4024-a235-919db29df9cd' class='xr-var-data-in' type='checkbox'><label for='data-e3fe7d9a-ee10-4024-a235-919db29df9cd' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>z layer spacing</dd><dt><span>units :</span></dt><dd>m</dd></dl></div><div class='xr-var-data'><pre>array([  8.224161,   8.594248,   8.980989,   9.385134,   9.807465,  10.248801,\n",
       "        10.709997,  11.191947,  11.695584,  12.221886,  12.771871,  13.346605,\n",
       "        13.947202,  14.574826,  15.230693,  15.916074,  16.632298,  17.380751,\n",
       "        18.162885,  18.980215,  19.834325,  20.726869,  21.659578,  22.634259,\n",
       "        23.652801,  24.717177,  25.82945 ,  26.991775,  28.206405,  29.475693,\n",
       "        30.802099,  32.188194,  33.636663,  35.150313,  36.732077,  38.38502 ,\n",
       "        40.112346,  41.917401,  43.803685,  45.77485 ,  47.834719,  49.987281,\n",
       "        52.236709,  54.58736 ,  57.043792,  59.610762,  62.293247,  65.096443,\n",
       "        68.025783,  71.086943,  74.285855,  77.628719,  81.122011,  84.772502,\n",
       "        88.587264,  92.573691,  96.739507, 101.092785, 105.64196 , 110.395849,\n",
       "       115.363662, 120.555027, 125.980003, 131.649103, 137.573312, 143.764112,\n",
       "       150.233497, 156.994004, 164.058734, 171.441377, 179.156239, 187.21827 ,\n",
       "       195.643092, 204.447031, 213.647148, 223.261269, 233.308026, 243.806887,\n",
       "       254.778197, 266.243216])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>z_r</span></div><div class='xr-var-dims'>(Nk)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>...</div><input id='attrs-a7244979-2a75-47d3-9c78-4de24196af40' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-a7244979-2a75-47d3-9c78-4de24196af40' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-a9f75cb0-ef95-47e8-a201-b7d47da8a20b' class='xr-var-data-in' type='checkbox'><label for='data-a9f75cb0-ef95-47e8-a201-b7d47da8a20b' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>standard_name :</span></dt><dd>ocean_z_coordinate</dd><dt><span>long_name :</span></dt><dd>depth at layer mid points</dd><dt><span>units :</span></dt><dd>m</dd><dt><span>positive :</span></dt><dd>up</dd></dl></div><div class='xr-var-data'><pre>array([4.112081e+00, 1.270633e+01, 2.168732e+01, 3.107245e+01, 4.087992e+01,\n",
       "       5.112872e+01, 6.183871e+01, 7.303066e+01, 8.472625e+01, 9.694813e+01,\n",
       "       1.097200e+02, 1.230666e+02, 1.370138e+02, 1.515886e+02, 1.668193e+02,\n",
       "       1.827354e+02, 1.993677e+02, 2.167485e+02, 2.349113e+02, 2.538916e+02,\n",
       "       2.737259e+02, 2.944527e+02, 3.161123e+02, 3.387466e+02, 3.623994e+02,\n",
       "       3.871166e+02, 4.129460e+02, 4.399378e+02, 4.681442e+02, 4.976199e+02,\n",
       "       5.284220e+02, 5.606102e+02, 5.942468e+02, 6.293972e+02, 6.661292e+02,\n",
       "       7.045142e+02, 7.446266e+02, 7.865440e+02, 8.303477e+02, 8.761225e+02,\n",
       "       9.239573e+02, 9.739445e+02, 1.026181e+03, 1.080769e+03, 1.137812e+03,\n",
       "       1.197423e+03, 1.259716e+03, 1.324813e+03, 1.392839e+03, 1.463926e+03,\n",
       "       1.538211e+03, 1.615840e+03, 1.696962e+03, 1.781735e+03, 1.870322e+03,\n",
       "       1.962896e+03, 2.059635e+03, 2.160728e+03, 2.266370e+03, 2.376766e+03,\n",
       "       2.492129e+03, 2.612684e+03, 2.738664e+03, 2.870314e+03, 3.007887e+03,\n",
       "       3.151651e+03, 3.301884e+03, 3.458878e+03, 3.622937e+03, 3.794379e+03,\n",
       "       3.973535e+03, 4.160753e+03, 4.356396e+03, 4.560843e+03, 4.774490e+03,\n",
       "       4.997752e+03, 5.231060e+03, 5.474867e+03, 5.729645e+03, 5.995888e+03])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>N2_mu</span></div><div class='xr-var-dims'>(Nparams, Nc)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>...</div><input id='attrs-e72d2056-a9f2-4ebc-be92-9a200b707714' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-e72d2056-a9f2-4ebc-be92-9a200b707714' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-a8f57968-e39b-49a0-978a-d1bccba2a6c9' class='xr-var-data-in' type='checkbox'><label for='data-a8f57968-e39b-49a0-978a-d1bccba2a6c9' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>N2 fit mean parameters</dd></dl></div><div class='xr-var-data'><pre>[1577576 values with dtype=float64]</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>N2_re</span></div><div class='xr-var-dims'>(Nannual, Nparams, Nc)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>...</div><input id='attrs-06611c2d-8762-4967-9686-ffeb55a58239' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-06611c2d-8762-4967-9686-ffeb55a58239' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-bc15c4bc-1212-415e-878d-59055d53cf7d' class='xr-var-data-in' type='checkbox'><label for='data-bc15c4bc-1212-415e-878d-59055d53cf7d' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>N2 fit real harmonic parameters</dd></dl></div><div class='xr-var-data'><pre>[6310304 values with dtype=float64]</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>N2_im</span></div><div class='xr-var-dims'>(Nannual, Nparams, Nc)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>...</div><input id='attrs-20335123-dd97-45b0-b3c0-d5802e08d885' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-20335123-dd97-45b0-b3c0-d5802e08d885' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-2c452f43-cef3-4c46-ba7e-b8b863e715a4' class='xr-var-data-in' type='checkbox'><label for='data-2c452f43-cef3-4c46-ba7e-b8b863e715a4' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>N2 fit imaginary harmonic parameters</dd></dl></div><div class='xr-var-data'><pre>[6310304 values with dtype=float64]</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-79bc455c-2a50-4295-90d8-500b0ae9eed7' class='xr-section-summary-in' type='checkbox'  checked><label for='section-79bc455c-2a50-4295-90d8-500b0ae9eed7' class='xr-section-summary' >Attributes: <span>(8)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><dl class='xr-attrs'><dt><span>Description :</span></dt><dd>SUNTANS History file</dd><dt><span>Author :</span></dt><dd>Matt Rayson (matt.rayson@uwa.edu.au)</dd><dt><span>Created :</span></dt><dd>2020-11-07 03:37:40.515658</dd><dt><span>Title :</span></dt><dd>SUNTANS density stratification climatology</dd><dt><span>density_func :</span></dt><dd>double_gaussian_N2_v2</dd><dt><span>density_func_tex :</span></dt><dd>N^2(z) = \\beta_0 + \\beta_1  \\left( \\beta_6* \\exp \\left[- \\left( \\frac{z+\\beta_2}{\\beta_3} \\right)^2 \\right] + (1-\\beta_6)*\\exp \\left[- \\left( \\frac{z+\\beta_4}{\\beta_5} \\right)^2 \\right] \\right)</dd><dt><span>Number_Annual_Harmonics :</span></dt><dd>4</dd><dt><span>ReferenceDate :</span></dt><dd>1990-01-01T00:00:00</dd></dl></div></li></ul></div></div>"
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       "Coordinates:\n",
       "    xv       (Nc) float64 ...\n",
       "    yv       (Nc) float64 ...\n",
       "    Nk       (Nc) int32 ...\n",
       "    z_w      (Nkw) float64 ...\n",
       "    omegaA   (Nannual) float64 ...\n",
       "    params   (Nparams) int64 ...\n",
       "Dimensions without coordinates: Nannual, Nc, Nkw, Nmode, Np, Nparams, numsides\n",
       "Data variables:\n",
       "    cells    (Nc, numsides) int32 ...\n",
       "    xp       (Np) float64 ...\n",
       "    yp       (Np) float64 ...\n",
       "    nfaces   (Nc) int32 ...\n",
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       "Attributes:\n",
       "    Description:              SUNTANS History file\n",
       "    Author:                   Matt Rayson (matt.rayson@uwa.edu.au)\n",
       "    Created:                  2020-11-07 03:37:40.515658\n",
       "    Title:                    SUNTANS density stratification climatology\n",
       "    density_func:             double_gaussian_N2_v2\n",
       "    density_func_tex:         N^2(z) = \\beta_0 + \\beta_1  \\left( \\beta_6* \\ex...\n",
       "    Number_Annual_Harmonics:  4\n",
       "    ReferenceDate:            1990-01-01T00:00:00"
      ]
     },
     "execution_count": 76,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "\n",
    "N2 = N2.rename_dims({'Ntide':'Nannual'})\n",
    "N2 = N2.rename_vars({'omega':'omegaA'})\n",
    "\n",
    "# Drop a few variables\n",
    "N2 = N2.drop(labels=['N2_t','N2_err','time'])\n",
    "N2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "metadata": {},
   "outputs": [
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       "    params      (Nparams) int64 0 1 2 3 4 5 6\n",
       "    omega       (Ntide) float64 0.0001399 0.0001401 ... 6.8e-05 6.82e-05\n",
       "Dimensions without coordinates: Nannual, Nc, Nkw, Nmode, Np, Nparams, Ntide, numsides\n",
       "Data variables:\n",
       "    cells       (Nc, numsides) int32 3058 3061 3060 2801 ... 316184 316187 -1 -1\n",
       "    xp          (Np) float64 1.394e+07 1.271e+07 ... 1.303e+07 1.303e+07\n",
       "    yp          (Np) float64 -1.619e+06 -2.553e+06 ... -2.056e+06 -2.055e+06\n",
       "    nfaces      (Nc) int32 6 6 6 6 6 6 6 6 6 6 6 6 6 ... 6 6 6 6 6 6 6 6 6 6 6 6\n",
       "    dv          (Nc) float64 ...\n",
       "    modes       (Nmode) float64 0.0 1.0 2.0 3.0\n",
       "    dz          (Nk) float64 8.224 8.594 8.981 9.385 ... 233.3 243.8 254.8 266.2\n",
       "    z_r         (Nk) float64 4.112 12.71 21.69 ... 5.475e+03 5.73e+03 5.996e+03\n",
       "    N2_mu       (Nparams, Nc) float64 ...\n",
       "    N2_re       (Nannual, Nparams, Nc) float64 ...\n",
       "    N2_im       (Nannual, Nparams, Nc) float64 ...\n",
       "    SSH_BC_var  (Nc) float64 ...\n",
       "    SSH_BC_aa   (Nc) float64 ...\n",
       "    SSH_BC_Aa   (Ntide, Nc) float64 ...\n",
       "    SSH_BC_Ba   (Ntide, Nc) float64 ...\n",
       "Attributes:\n",
       "    Description:              SUNTANS History file\n",
       "    Author:                   Matt Rayson (matt.rayson@uwa.edu.au)\n",
       "    Created:                  2020-11-07 03:37:40.515658\n",
       "    Title:                    SUNTANS density stratification climatology\n",
       "    density_func:             double_gaussian_N2_v2\n",
       "    density_func_tex:         N^2(z) = \\beta_0 + \\beta_1  \\left( \\beta_6* \\ex...\n",
       "    Number_Annual_Harmonics:  4\n",
       "    ReferenceDate:            1990-01-01T00:00:00</pre><div class='xr-wrap' hidden><div class='xr-header'><div class='xr-obj-type'>xarray.Dataset</div></div><ul class='xr-sections'><li class='xr-section-item'><input id='section-848c6f33-646d-4419-8a82-ed71c647bc13' class='xr-section-summary-in' type='checkbox' disabled ><label for='section-848c6f33-646d-4419-8a82-ed71c647bc13' class='xr-section-summary'  title='Expand/collapse section'>Dimensions:</label><div class='xr-section-inline-details'><ul class='xr-dim-list'><li><span>Nannual</span>: 4</li><li><span>Nc</span>: 225368</li><li><span class='xr-has-index'>Nk</span>: 80</li><li><span>Nkw</span>: 81</li><li><span>Nmode</span>: 4</li><li><span>Np</span>: 454016</li><li><span>Nparams</span>: 7</li><li><span>Ntide</span>: 35</li><li><span>numsides</span>: 8</li></ul></div><div class='xr-section-details'></div></li><li class='xr-section-item'><input id='section-13948a72-9221-4895-94f9-3e60e747b20f' class='xr-section-summary-in' type='checkbox'  checked><label for='section-13948a72-9221-4895-94f9-3e60e747b20f' class='xr-section-summary' >Coordinates: <span>(7)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span>xv</span></div><div class='xr-var-dims'>(Nc)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>1.213e+07 1.214e+07 ... 1.312e+07</div><input id='attrs-36059186-de1c-4cd4-bf2c-4360f9d91523' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-36059186-de1c-4cd4-bf2c-4360f9d91523' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-04fa0f49-9eff-4872-a80a-25af578c7064' class='xr-var-data-in' type='checkbox'><label for='data-04fa0f49-9eff-4872-a80a-25af578c7064' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>standard_name :</span></dt><dd>Easting</dd><dt><span>long_name :</span></dt><dd>Easting of 2D mesh face</dd></dl></div><div class='xr-var-data'><pre>array([12134079.99179, 12140135.05795, 12146301.67991, ...,\n",
       "       13103909.02464, 13100659.61052, 13124129.71239])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>yv</span></div><div class='xr-var-dims'>(Nc)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>-2.188e+06 -2.2e+06 ... -1.458e+06</div><input id='attrs-a7e36f8a-936a-4280-96ef-86799f58154c' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-a7e36f8a-936a-4280-96ef-86799f58154c' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-6928ee88-a18f-4e9f-b13a-15830ed5aceb' class='xr-var-data-in' type='checkbox'><label for='data-6928ee88-a18f-4e9f-b13a-15830ed5aceb' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>standard_name :</span></dt><dd>Easting</dd><dt><span>long_name :</span></dt><dd>Easting of 2D mesh face</dd></dl></div><div class='xr-var-data'><pre>array([-2187810.67335, -2199981.12155, -2212067.66911, ...,\n",
       "       -1461808.41167, -1463438.62919, -1457621.94694])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>Nk</span></div><div class='xr-var-dims'>(Nc)</div><div class='xr-var-dtype'>int32</div><div class='xr-var-preview xr-preview'>...</div><input id='attrs-0f6e8098-24d5-4380-8d5e-f3e87d27ff52' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-0f6e8098-24d5-4380-8d5e-f3e87d27ff52' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-be4ad03b-3ea5-482b-b223-0a47c64d63da' class='xr-var-data-in' type='checkbox'><label for='data-be4ad03b-3ea5-482b-b223-0a47c64d63da' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Number of layers at face</dd></dl></div><div class='xr-var-data'><pre>[225368 values with dtype=int32]</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>z_w</span></div><div class='xr-var-dims'>(Nkw)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>0.0 8.224 16.82 ... 5.734e+03 6e+03</div><input id='attrs-b2571d1d-9def-4423-b318-a925e04fb8b9' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-b2571d1d-9def-4423-b318-a925e04fb8b9' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-0b51099e-5096-4d83-8f79-6f6229751ca3' class='xr-var-data-in' type='checkbox'><label for='data-0b51099e-5096-4d83-8f79-6f6229751ca3' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>standard_name :</span></dt><dd>ocean_z_coordinate</dd><dt><span>long_name :</span></dt><dd>depth at layer edges</dd><dt><span>units :</span></dt><dd>m</dd><dt><span>positive :</span></dt><dd>up</dd></dl></div><div class='xr-var-data'><pre>array([   0.      ,    8.224161,   16.818409,   25.799398,   35.184532,\n",
       "         44.991997,   55.240798,   65.950795,   77.142742,   88.838326,\n",
       "        101.060212,  113.832083,  127.178688,  141.12589 ,  155.700716,\n",
       "        170.931409,  186.847483,  203.479781,  220.860532,  239.023417,\n",
       "        258.003632,  277.837957,  298.564826,  320.224404,  342.858663,\n",
       "        366.511464,  391.228641,  417.058091,  444.049866,  472.256271,\n",
       "        501.731964,  532.534063,  564.722257,  598.35892 ,  633.509233,\n",
       "        670.24131 ,  708.62633 ,  748.738676,  790.656077,  834.459762,\n",
       "        880.234612,  928.069331,  978.056612, 1030.293321, 1084.880681,\n",
       "       1141.924473, 1201.535235, 1263.828482, 1328.924925, 1396.950708,\n",
       "       1468.037651, 1542.323506, 1619.952225, 1701.074236, 1785.846738,\n",
       "       1874.434002, 1967.007693, 2063.7472  , 2164.839985, 2270.481945,\n",
       "       2380.877794, 2496.241456, 2616.796483, 2742.776486, 2874.425589,\n",
       "       3011.998901, 3155.763013, 3305.99651 , 3462.990514, 3627.049248,\n",
       "       3798.490625, 3977.646864, 4164.865134, 4360.508226, 4564.955257,\n",
       "       4778.602405, 5001.863674, 5235.1717  , 5478.978587, 5733.756784,\n",
       "       6000.      ])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>omegaA</span></div><div class='xr-var-dims'>(Nannual)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>1.992e-07 3.985e-07 ... 7.97e-07</div><input id='attrs-280a75e8-730f-4b1e-ab42-016306c23782' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-280a75e8-730f-4b1e-ab42-016306c23782' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-6632306b-76e1-43f8-a61b-768703c7ead2' class='xr-var-data-in' type='checkbox'><label for='data-6632306b-76e1-43f8-a61b-768703c7ead2' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([1.992385e-07, 3.984770e-07, 5.977155e-07, 7.969540e-07])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>params</span></div><div class='xr-var-dims'>(Nparams)</div><div class='xr-var-dtype'>int64</div><div class='xr-var-preview xr-preview'>0 1 2 3 4 5 6</div><input id='attrs-95d32571-9d8b-4159-af53-9c1ab6276f75' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-95d32571-9d8b-4159-af53-9c1ab6276f75' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-c35da7b0-09ac-492a-a8e5-b77bb320043a' class='xr-var-data-in' type='checkbox'><label for='data-c35da7b0-09ac-492a-a8e5-b77bb320043a' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([0, 1, 2, 3, 4, 5, 6])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>omega</span></div><div class='xr-var-dims'>(Ntide)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>...</div><input id='attrs-528f1acf-55df-4927-9dba-8bf6fc8af418' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-528f1acf-55df-4927-9dba-8bf6fc8af418' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-b366fd45-256a-4176-a397-12beef32671e' class='xr-var-data-in' type='checkbox'><label for='data-b366fd45-256a-4176-a397-12beef32671e' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>frequency</dd><dt><span>units :</span></dt><dd>rad s-1</dd></dl></div><div class='xr-var-data'><pre>array([1.399212e-04, 1.401204e-04, 1.403197e-04, 1.405189e-04, 1.407181e-04,\n",
       "       1.409174e-04, 1.411166e-04, 1.448464e-04, 1.450456e-04, 1.452449e-04,\n",
       "       1.454441e-04, 1.456433e-04, 1.458426e-04, 1.460418e-04, 1.372820e-04,\n",
       "       1.374812e-04, 1.376805e-04, 1.378797e-04, 1.380789e-04, 1.382782e-04,\n",
       "       1.384774e-04, 7.232344e-05, 7.252268e-05, 7.272192e-05, 7.292116e-05,\n",
       "       7.312040e-05, 7.331964e-05, 7.351887e-05, 6.700003e-05, 6.719927e-05,\n",
       "       6.739851e-05, 6.759774e-05, 6.779698e-05, 6.799622e-05, 6.819546e-05])</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-ebe2e04c-2ab3-465d-85f0-3e6a39d50fd5' class='xr-section-summary-in' type='checkbox'  ><label for='section-ebe2e04c-2ab3-465d-85f0-3e6a39d50fd5' class='xr-section-summary' >Data variables: <span>(15)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span>cells</span></div><div class='xr-var-dims'>(Nc, numsides)</div><div class='xr-var-dtype'>int32</div><div class='xr-var-preview xr-preview'>3058 3061 3060 ... 316187 -1 -1</div><input id='attrs-67023dfd-962f-4376-97db-1ff64dd9b124' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-67023dfd-962f-4376-97db-1ff64dd9b124' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-52176cc2-f868-4cb2-bd3b-96e25763c84d' class='xr-var-data-in' type='checkbox'><label for='data-52176cc2-f868-4cb2-bd3b-96e25763c84d' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>cf_role :</span></dt><dd>face_node_connectivity</dd><dt><span>long_name :</span></dt><dd>Maps every face to its corner nodes</dd></dl></div><div class='xr-var-data'><pre>array([[  3058,   3061,   3060, ...,   2803,     -1,     -1],\n",
       "       [  3056,   3059,   3058, ...,   2805,     -1,     -1],\n",
       "       [  3054,   3057,   3056, ...,   2807,     -1,     -1],\n",
       "       ...,\n",
       "       [316194, 316193, 316158, ..., 316195,     -1,     -1],\n",
       "       [316196, 316195, 316160, ..., 316197,     -1,     -1],\n",
       "       [316186, 316183, 316180, ..., 316187,     -1,     -1]], dtype=int32)</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>xp</span></div><div class='xr-var-dims'>(Np)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>1.394e+07 1.271e+07 ... 1.303e+07</div><input id='attrs-4b3e6fdc-30be-407d-b3b2-38a4bae15b95' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-4b3e6fdc-30be-407d-b3b2-38a4bae15b95' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-9bb082bc-9777-4e14-8238-cd994d318a3b' class='xr-var-data-in' type='checkbox'><label for='data-9bb082bc-9777-4e14-8238-cd994d318a3b' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>standard_name :</span></dt><dd>Easting</dd><dt><span>long_name :</span></dt><dd>Easting of 2D mesh node</dd></dl></div><div class='xr-var-data'><pre>array([13940360.830174, 12712058.187743, 15170797.611419, ...,\n",
       "       13029625.300474, 13030884.79243 , 13031453.520238])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>yp</span></div><div class='xr-var-dims'>(Np)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>-1.619e+06 ... -2.055e+06</div><input id='attrs-f9fa7b08-ca1c-42ad-bc1f-d118bd694fbf' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-f9fa7b08-ca1c-42ad-bc1f-d118bd694fbf' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-114a1849-9963-4995-822d-363d339ad0ac' class='xr-var-data-in' type='checkbox'><label for='data-114a1849-9963-4995-822d-363d339ad0ac' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>standard_name :</span></dt><dd>Northing</dd><dt><span>long_name :</span></dt><dd>Northing of 2D mesh nodes</dd></dl></div><div class='xr-var-data'><pre>array([-1618779.67439 , -2553293.974806, -1477086.29986 , ...,\n",
       "       -2055417.055595, -2055674.931722, -2054578.933535])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>nfaces</span></div><div class='xr-var-dims'>(Nc)</div><div class='xr-var-dtype'>int32</div><div class='xr-var-preview xr-preview'>6 6 6 6 6 6 6 6 ... 6 6 6 6 6 6 6 6</div><input id='attrs-b8eaff41-48db-480a-a061-6ce4c89f2b2e' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-b8eaff41-48db-480a-a061-6ce4c89f2b2e' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-ec4d9664-af7a-4d1a-b458-131ab177e71b' class='xr-var-data-in' type='checkbox'><label for='data-ec4d9664-af7a-4d1a-b458-131ab177e71b' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Number of cell faces</dd></dl></div><div class='xr-var-data'><pre>array([6, 6, 6, ..., 6, 6, 6], dtype=int32)</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>dv</span></div><div class='xr-var-dims'>(Nc)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>...</div><input id='attrs-1f27240e-75a6-43e5-a52c-e5e763f9fb05' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-1f27240e-75a6-43e5-a52c-e5e763f9fb05' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-ba622ef1-e31b-44a5-ac15-ffb8aec5dd1d' class='xr-var-data-in' type='checkbox'><label for='data-ba622ef1-e31b-44a5-ac15-ffb8aec5dd1d' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>standard_name :</span></dt><dd>sea_floor_depth_below_geoid</dd><dt><span>long_name :</span></dt><dd>seafloor depth</dd><dt><span>units :</span></dt><dd>m</dd><dt><span>mesh :</span></dt><dd>suntans_mesh</dd><dt><span>location :</span></dt><dd>face</dd><dt><span>positive :</span></dt><dd>down</dd></dl></div><div class='xr-var-data'><pre>[225368 values with dtype=float64]</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>modes</span></div><div class='xr-var-dims'>(Nmode)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>0.0 1.0 2.0 3.0</div><input id='attrs-3618f17f-b264-44f0-bce0-1250b60d26e6' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-3618f17f-b264-44f0-bce0-1250b60d26e6' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-54654d37-1c3e-45a5-b7fa-a8938dfc770b' class='xr-var-data-in' type='checkbox'><label for='data-54654d37-1c3e-45a5-b7fa-a8938dfc770b' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Vertical mode number</dd><dt><span>units :</span></dt><dd></dd></dl></div><div class='xr-var-data'><pre>array([0., 1., 2., 3.])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>dz</span></div><div class='xr-var-dims'>(Nk)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>8.224 8.594 8.981 ... 254.8 266.2</div><input id='attrs-e4b5ef0f-0c0a-404e-a48f-15ee6e7b2474' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-e4b5ef0f-0c0a-404e-a48f-15ee6e7b2474' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-567a9f94-9594-4bc2-bdd9-615adac25c44' class='xr-var-data-in' type='checkbox'><label for='data-567a9f94-9594-4bc2-bdd9-615adac25c44' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>z layer spacing</dd><dt><span>units :</span></dt><dd>m</dd></dl></div><div class='xr-var-data'><pre>array([  8.224161,   8.594248,   8.980989,   9.385134,   9.807465,  10.248801,\n",
       "        10.709997,  11.191947,  11.695584,  12.221886,  12.771871,  13.346605,\n",
       "        13.947202,  14.574826,  15.230693,  15.916074,  16.632298,  17.380751,\n",
       "        18.162885,  18.980215,  19.834325,  20.726869,  21.659578,  22.634259,\n",
       "        23.652801,  24.717177,  25.82945 ,  26.991775,  28.206405,  29.475693,\n",
       "        30.802099,  32.188194,  33.636663,  35.150313,  36.732077,  38.38502 ,\n",
       "        40.112346,  41.917401,  43.803685,  45.77485 ,  47.834719,  49.987281,\n",
       "        52.236709,  54.58736 ,  57.043792,  59.610762,  62.293247,  65.096443,\n",
       "        68.025783,  71.086943,  74.285855,  77.628719,  81.122011,  84.772502,\n",
       "        88.587264,  92.573691,  96.739507, 101.092785, 105.64196 , 110.395849,\n",
       "       115.363662, 120.555027, 125.980003, 131.649103, 137.573312, 143.764112,\n",
       "       150.233497, 156.994004, 164.058734, 171.441377, 179.156239, 187.21827 ,\n",
       "       195.643092, 204.447031, 213.647148, 223.261269, 233.308026, 243.806887,\n",
       "       254.778197, 266.243216])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>z_r</span></div><div class='xr-var-dims'>(Nk)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>4.112 12.71 ... 5.73e+03 5.996e+03</div><input id='attrs-3bf72d10-9098-4995-b4d2-0157c8d99ded' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-3bf72d10-9098-4995-b4d2-0157c8d99ded' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-adb1262c-a936-4c09-b98a-193a61296d3c' class='xr-var-data-in' type='checkbox'><label for='data-adb1262c-a936-4c09-b98a-193a61296d3c' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>standard_name :</span></dt><dd>ocean_z_coordinate</dd><dt><span>long_name :</span></dt><dd>depth at layer mid points</dd><dt><span>units :</span></dt><dd>m</dd><dt><span>positive :</span></dt><dd>up</dd></dl></div><div class='xr-var-data'><pre>array([4.112081e+00, 1.270633e+01, 2.168732e+01, 3.107245e+01, 4.087992e+01,\n",
       "       5.112872e+01, 6.183871e+01, 7.303066e+01, 8.472625e+01, 9.694813e+01,\n",
       "       1.097200e+02, 1.230666e+02, 1.370138e+02, 1.515886e+02, 1.668193e+02,\n",
       "       1.827354e+02, 1.993677e+02, 2.167485e+02, 2.349113e+02, 2.538916e+02,\n",
       "       2.737259e+02, 2.944527e+02, 3.161123e+02, 3.387466e+02, 3.623994e+02,\n",
       "       3.871166e+02, 4.129460e+02, 4.399378e+02, 4.681442e+02, 4.976199e+02,\n",
       "       5.284220e+02, 5.606102e+02, 5.942468e+02, 6.293972e+02, 6.661292e+02,\n",
       "       7.045142e+02, 7.446266e+02, 7.865440e+02, 8.303477e+02, 8.761225e+02,\n",
       "       9.239573e+02, 9.739445e+02, 1.026181e+03, 1.080769e+03, 1.137812e+03,\n",
       "       1.197423e+03, 1.259716e+03, 1.324813e+03, 1.392839e+03, 1.463926e+03,\n",
       "       1.538211e+03, 1.615840e+03, 1.696962e+03, 1.781735e+03, 1.870322e+03,\n",
       "       1.962896e+03, 2.059635e+03, 2.160728e+03, 2.266370e+03, 2.376766e+03,\n",
       "       2.492129e+03, 2.612684e+03, 2.738664e+03, 2.870314e+03, 3.007887e+03,\n",
       "       3.151651e+03, 3.301884e+03, 3.458878e+03, 3.622937e+03, 3.794379e+03,\n",
       "       3.973535e+03, 4.160753e+03, 4.356396e+03, 4.560843e+03, 4.774490e+03,\n",
       "       4.997752e+03, 5.231060e+03, 5.474867e+03, 5.729645e+03, 5.995888e+03])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>N2_mu</span></div><div class='xr-var-dims'>(Nparams, Nc)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>...</div><input id='attrs-e060582b-62ff-4c1c-90d7-981b19962396' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-e060582b-62ff-4c1c-90d7-981b19962396' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-5e9ae5b7-86f8-404e-9316-162fd5313ade' class='xr-var-data-in' type='checkbox'><label for='data-5e9ae5b7-86f8-404e-9316-162fd5313ade' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>N2 fit mean parameters</dd></dl></div><div class='xr-var-data'><pre>[1577576 values with dtype=float64]</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>N2_re</span></div><div class='xr-var-dims'>(Nannual, Nparams, Nc)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>...</div><input id='attrs-39ce6469-fc6d-491a-b842-ff33c7d951fc' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-39ce6469-fc6d-491a-b842-ff33c7d951fc' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-874bd3b0-7bc4-4905-b105-0403f6bced17' class='xr-var-data-in' type='checkbox'><label for='data-874bd3b0-7bc4-4905-b105-0403f6bced17' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>N2 fit real harmonic parameters</dd></dl></div><div class='xr-var-data'><pre>[6310304 values with dtype=float64]</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>N2_im</span></div><div class='xr-var-dims'>(Nannual, Nparams, Nc)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>...</div><input id='attrs-d18e8651-541a-4e5c-93cd-1aff751dff1e' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-d18e8651-541a-4e5c-93cd-1aff751dff1e' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-eb725c20-caf9-4a4b-af3f-d1a28e7e84ce' class='xr-var-data-in' type='checkbox'><label for='data-eb725c20-caf9-4a4b-af3f-d1a28e7e84ce' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>N2 fit imaginary harmonic parameters</dd></dl></div><div class='xr-var-data'><pre>[6310304 values with dtype=float64]</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>SSH_BC_var</span></div><div class='xr-var-dims'>(Nc)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>...</div><input id='attrs-443c9a01-5855-4abd-a6f6-d5289b4d4191' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-443c9a01-5855-4abd-a6f6-d5289b4d4191' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-1c922631-6d8d-4a4a-a73d-e91c871e9a49' class='xr-var-data-in' type='checkbox'><label for='data-1c922631-6d8d-4a4a-a73d-e91c871e9a49' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>SSH_BC - signal variance</dd><dt><span>units :</span></dt><dd>m^2</dd></dl></div><div class='xr-var-data'><pre>[225368 values with dtype=float64]</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>SSH_BC_aa</span></div><div class='xr-var-dims'>(Nc)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>...</div><input id='attrs-2d173588-9d60-4599-803e-54e25b6d6193' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-2d173588-9d60-4599-803e-54e25b6d6193' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-ba35b852-deb5-49b2-a138-cc4daa0f1404' class='xr-var-data-in' type='checkbox'><label for='data-ba35b852-deb5-49b2-a138-cc4daa0f1404' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>SSH_BC - mean amplitude</dd><dt><span>units :</span></dt><dd>m</dd></dl></div><div class='xr-var-data'><pre>[225368 values with dtype=float64]</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>SSH_BC_Aa</span></div><div class='xr-var-dims'>(Ntide, Nc)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>...</div><input id='attrs-a54bf2aa-9c3f-4f58-965c-f8cd29ba7ca7' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-a54bf2aa-9c3f-4f58-965c-f8cd29ba7ca7' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-4e040732-46d8-44a7-8811-be1f8b0b9fbe' class='xr-var-data-in' type='checkbox'><label for='data-4e040732-46d8-44a7-8811-be1f8b0b9fbe' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>SSH_BC - real complex amplitude</dd><dt><span>units :</span></dt><dd>m</dd></dl></div><div class='xr-var-data'><pre>[7887880 values with dtype=float64]</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>SSH_BC_Ba</span></div><div class='xr-var-dims'>(Ntide, Nc)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>...</div><input id='attrs-c1511aa6-aa9e-42ee-9523-fef9cd159cbb' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-c1511aa6-aa9e-42ee-9523-fef9cd159cbb' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-57e078f5-35a4-4854-86c1-b79eb1312f16' class='xr-var-data-in' type='checkbox'><label for='data-57e078f5-35a4-4854-86c1-b79eb1312f16' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>SSH_BC - imaginary complex amplitude</dd><dt><span>units :</span></dt><dd>m</dd></dl></div><div class='xr-var-data'><pre>[7887880 values with dtype=float64]</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-83b8d51f-329a-45e9-bd5d-b55dc17d6dcc' class='xr-section-summary-in' type='checkbox'  checked><label for='section-83b8d51f-329a-45e9-bd5d-b55dc17d6dcc' class='xr-section-summary' >Attributes: <span>(8)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><dl class='xr-attrs'><dt><span>Description :</span></dt><dd>SUNTANS History file</dd><dt><span>Author :</span></dt><dd>Matt Rayson (matt.rayson@uwa.edu.au)</dd><dt><span>Created :</span></dt><dd>2020-11-07 03:37:40.515658</dd><dt><span>Title :</span></dt><dd>SUNTANS density stratification climatology</dd><dt><span>density_func :</span></dt><dd>double_gaussian_N2_v2</dd><dt><span>density_func_tex :</span></dt><dd>N^2(z) = \\beta_0 + \\beta_1  \\left( \\beta_6* \\exp \\left[- \\left( \\frac{z+\\beta_2}{\\beta_3} \\right)^2 \\right] + (1-\\beta_6)*\\exp \\left[- \\left( \\frac{z+\\beta_4}{\\beta_5} \\right)^2 \\right] \\right)</dd><dt><span>Number_Annual_Harmonics :</span></dt><dd>4</dd><dt><span>ReferenceDate :</span></dt><dd>1990-01-01T00:00:00</dd></dl></div></li></ul></div></div>"
      ],
      "text/plain": [
       "<xarray.Dataset>\n",
       "Dimensions:     (Nannual: 4, Nc: 225368, Nk: 80, Nkw: 81, Nmode: 4, Np: 454016, Nparams: 7, Ntide: 35, numsides: 8)\n",
       "Coordinates:\n",
       "    xv          (Nc) float64 1.213e+07 1.214e+07 ... 1.31e+07 1.312e+07\n",
       "    yv          (Nc) float64 -2.188e+06 -2.2e+06 ... -1.463e+06 -1.458e+06\n",
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       "    dv          (Nc) float64 ...\n",
       "    modes       (Nmode) float64 0.0 1.0 2.0 3.0\n",
       "    dz          (Nk) float64 8.224 8.594 8.981 9.385 ... 233.3 243.8 254.8 266.2\n",
       "    z_r         (Nk) float64 4.112 12.71 21.69 ... 5.475e+03 5.73e+03 5.996e+03\n",
       "    N2_mu       (Nparams, Nc) float64 ...\n",
       "    N2_re       (Nannual, Nparams, Nc) float64 ...\n",
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       "    SSH_BC_var  (Nc) float64 ...\n",
       "    SSH_BC_aa   (Nc) float64 ...\n",
       "    SSH_BC_Aa   (Ntide, Nc) float64 ...\n",
       "    SSH_BC_Ba   (Ntide, Nc) float64 ...\n",
       "Attributes:\n",
       "    Description:              SUNTANS History file\n",
       "    Author:                   Matt Rayson (matt.rayson@uwa.edu.au)\n",
       "    Created:                  2020-11-07 03:37:40.515658\n",
       "    Title:                    SUNTANS density stratification climatology\n",
       "    density_func:             double_gaussian_N2_v2\n",
       "    density_func_tex:         N^2(z) = \\beta_0 + \\beta_1  \\left( \\beta_6* \\ex...\n",
       "    Number_Annual_Harmonics:  4\n",
       "    ReferenceDate:            1990-01-01T00:00:00"
      ]
     },
     "execution_count": 77,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "new_ds = N2.merge(ssh)\n",
    "new_ds"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "metadata": {},
   "outputs": [
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       "Attributes:\n",
       "    Description:              Internal wave and density stratification climat...\n",
       "    Author:                   Matt Rayson (matt.rayson@uwa.edu.au)\n",
       "    Created:                  2020-11-09 14:41:34.157804\n",
       "    Title:                    SUNTANS density stratification climatology\n",
       "    density_func:             double_gaussian_N2_v2\n",
       "    density_func_tex:         N^2(z) = \\beta_0 + \\beta_1  \\left( \\beta_6* \\ex...\n",
       "    Number_Annual_Harmonics:  3\n",
       "    ReferenceDate:            1990-01-01T00:00:00</pre><div class='xr-wrap' hidden><div class='xr-header'><div class='xr-obj-type'>xarray.Dataset</div></div><ul class='xr-sections'><li class='xr-section-item'><input id='section-1c247d9a-aad0-470b-993c-82fc6fc2b4c4' class='xr-section-summary-in' type='checkbox' disabled ><label for='section-1c247d9a-aad0-470b-993c-82fc6fc2b4c4' class='xr-section-summary'  title='Expand/collapse section'>Dimensions:</label><div class='xr-section-inline-details'><ul class='xr-dim-list'><li><span>Nannual</span>: 4</li><li><span>Nc</span>: 225368</li><li><span class='xr-has-index'>Nk</span>: 80</li><li><span>Nkw</span>: 81</li><li><span>Nmode</span>: 4</li><li><span>Np</span>: 454016</li><li><span>Nparams</span>: 7</li><li><span>Ntide</span>: 35</li><li><span>numsides</span>: 8</li></ul></div><div class='xr-section-details'></div></li><li class='xr-section-item'><input id='section-61192697-bdd7-4c6a-b2e9-96029b91b544' class='xr-section-summary-in' type='checkbox'  checked><label for='section-61192697-bdd7-4c6a-b2e9-96029b91b544' class='xr-section-summary' >Coordinates: <span>(7)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span>xv</span></div><div class='xr-var-dims'>(Nc)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>1.213e+07 1.214e+07 ... 1.312e+07</div><input id='attrs-e831d42b-dace-40b4-b7cc-20d1cf9e7484' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-e831d42b-dace-40b4-b7cc-20d1cf9e7484' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-0dddbe60-8ab5-4b78-be3b-75b0ac6b6522' class='xr-var-data-in' type='checkbox'><label for='data-0dddbe60-8ab5-4b78-be3b-75b0ac6b6522' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>standard_name :</span></dt><dd>Easting</dd><dt><span>long_name :</span></dt><dd>Easting of 2D mesh face</dd></dl></div><div class='xr-var-data'><pre>array([12134079.99179, 12140135.05795, 12146301.67991, ...,\n",
       "       13103909.02464, 13100659.61052, 13124129.71239])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>yv</span></div><div class='xr-var-dims'>(Nc)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>-2.188e+06 -2.2e+06 ... -1.458e+06</div><input id='attrs-8480b6ca-7c0b-4aec-8d18-2d43ebb40408' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-8480b6ca-7c0b-4aec-8d18-2d43ebb40408' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-72250609-5206-4ff0-b8e6-093b3fc251ca' class='xr-var-data-in' type='checkbox'><label for='data-72250609-5206-4ff0-b8e6-093b3fc251ca' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>standard_name :</span></dt><dd>Easting</dd><dt><span>long_name :</span></dt><dd>Easting of 2D mesh face</dd></dl></div><div class='xr-var-data'><pre>array([-2187810.67335, -2199981.12155, -2212067.66911, ...,\n",
       "       -1461808.41167, -1463438.62919, -1457621.94694])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>Nk</span></div><div class='xr-var-dims'>(Nc)</div><div class='xr-var-dtype'>int32</div><div class='xr-var-preview xr-preview'>...</div><input id='attrs-24730fd2-63c3-4d40-9d90-1474a3469756' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-24730fd2-63c3-4d40-9d90-1474a3469756' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-a0965884-5557-40e3-a8de-8da4c8ae9466' class='xr-var-data-in' type='checkbox'><label for='data-a0965884-5557-40e3-a8de-8da4c8ae9466' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Number of layers at face</dd></dl></div><div class='xr-var-data'><pre>[225368 values with dtype=int32]</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>z_w</span></div><div class='xr-var-dims'>(Nkw)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>0.0 8.224 16.82 ... 5.734e+03 6e+03</div><input id='attrs-2a6f00e2-8e48-4280-870d-cb8d2d5f2ee5' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-2a6f00e2-8e48-4280-870d-cb8d2d5f2ee5' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-44fd3d54-5bee-4084-9a20-9cf79fdd7611' class='xr-var-data-in' type='checkbox'><label for='data-44fd3d54-5bee-4084-9a20-9cf79fdd7611' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>standard_name :</span></dt><dd>ocean_z_coordinate</dd><dt><span>long_name :</span></dt><dd>depth at layer edges</dd><dt><span>units :</span></dt><dd>m</dd><dt><span>positive :</span></dt><dd>up</dd></dl></div><div class='xr-var-data'><pre>array([   0.      ,    8.224161,   16.818409,   25.799398,   35.184532,\n",
       "         44.991997,   55.240798,   65.950795,   77.142742,   88.838326,\n",
       "        101.060212,  113.832083,  127.178688,  141.12589 ,  155.700716,\n",
       "        170.931409,  186.847483,  203.479781,  220.860532,  239.023417,\n",
       "        258.003632,  277.837957,  298.564826,  320.224404,  342.858663,\n",
       "        366.511464,  391.228641,  417.058091,  444.049866,  472.256271,\n",
       "        501.731964,  532.534063,  564.722257,  598.35892 ,  633.509233,\n",
       "        670.24131 ,  708.62633 ,  748.738676,  790.656077,  834.459762,\n",
       "        880.234612,  928.069331,  978.056612, 1030.293321, 1084.880681,\n",
       "       1141.924473, 1201.535235, 1263.828482, 1328.924925, 1396.950708,\n",
       "       1468.037651, 1542.323506, 1619.952225, 1701.074236, 1785.846738,\n",
       "       1874.434002, 1967.007693, 2063.7472  , 2164.839985, 2270.481945,\n",
       "       2380.877794, 2496.241456, 2616.796483, 2742.776486, 2874.425589,\n",
       "       3011.998901, 3155.763013, 3305.99651 , 3462.990514, 3627.049248,\n",
       "       3798.490625, 3977.646864, 4164.865134, 4360.508226, 4564.955257,\n",
       "       4778.602405, 5001.863674, 5235.1717  , 5478.978587, 5733.756784,\n",
       "       6000.      ])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>omegaA</span></div><div class='xr-var-dims'>(Nannual)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>1.992e-07 3.985e-07 ... 7.97e-07</div><input id='attrs-5b921a2c-5b32-4504-b179-b89251a187ff' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-5b921a2c-5b32-4504-b179-b89251a187ff' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-0533499c-4528-4536-aa0e-0e2a03e7872e' class='xr-var-data-in' type='checkbox'><label for='data-0533499c-4528-4536-aa0e-0e2a03e7872e' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([1.992385e-07, 3.984770e-07, 5.977155e-07, 7.969540e-07])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>params</span></div><div class='xr-var-dims'>(Nparams)</div><div class='xr-var-dtype'>int64</div><div class='xr-var-preview xr-preview'>0 1 2 3 4 5 6</div><input id='attrs-837f1c21-3d12-4bf8-aefa-51d81fdcc20c' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-837f1c21-3d12-4bf8-aefa-51d81fdcc20c' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-65c32289-bdbe-4520-9efc-6e6c3a2bd10c' class='xr-var-data-in' type='checkbox'><label for='data-65c32289-bdbe-4520-9efc-6e6c3a2bd10c' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([0, 1, 2, 3, 4, 5, 6])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>omega</span></div><div class='xr-var-dims'>(Ntide)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>0.0001399 0.0001401 ... 6.82e-05</div><input id='attrs-efc6a8f2-ca85-497c-b142-187786374642' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-efc6a8f2-ca85-497c-b142-187786374642' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-e46e5df8-9f24-4cbc-9fea-93be331bf252' class='xr-var-data-in' type='checkbox'><label for='data-e46e5df8-9f24-4cbc-9fea-93be331bf252' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>frequency</dd><dt><span>units :</span></dt><dd>rad s-1</dd></dl></div><div class='xr-var-data'><pre>array([1.399212e-04, 1.401204e-04, 1.403197e-04, 1.405189e-04, 1.407181e-04,\n",
       "       1.409174e-04, 1.411166e-04, 1.448464e-04, 1.450456e-04, 1.452449e-04,\n",
       "       1.454441e-04, 1.456433e-04, 1.458426e-04, 1.460418e-04, 1.372820e-04,\n",
       "       1.374812e-04, 1.376805e-04, 1.378797e-04, 1.380789e-04, 1.382782e-04,\n",
       "       1.384774e-04, 7.232344e-05, 7.252268e-05, 7.272192e-05, 7.292116e-05,\n",
       "       7.312040e-05, 7.331964e-05, 7.351887e-05, 6.700003e-05, 6.719927e-05,\n",
       "       6.739851e-05, 6.759774e-05, 6.779698e-05, 6.799622e-05, 6.819546e-05])</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-00094a17-6f88-4429-8148-bff04d20c3ba' class='xr-section-summary-in' type='checkbox'  ><label for='section-00094a17-6f88-4429-8148-bff04d20c3ba' class='xr-section-summary' >Data variables: <span>(15)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span>cells</span></div><div class='xr-var-dims'>(Nc, numsides)</div><div class='xr-var-dtype'>int32</div><div class='xr-var-preview xr-preview'>3058 3061 3060 ... 316187 -1 -1</div><input id='attrs-9d9c7eae-5817-4c86-802d-e78af189245a' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-9d9c7eae-5817-4c86-802d-e78af189245a' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-b0890a86-a4b2-4102-a447-4f5b4642756f' class='xr-var-data-in' type='checkbox'><label for='data-b0890a86-a4b2-4102-a447-4f5b4642756f' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>cf_role :</span></dt><dd>face_node_connectivity</dd><dt><span>long_name :</span></dt><dd>Maps every face to its corner nodes</dd></dl></div><div class='xr-var-data'><pre>array([[  3058,   3061,   3060, ...,   2803,     -1,     -1],\n",
       "       [  3056,   3059,   3058, ...,   2805,     -1,     -1],\n",
       "       [  3054,   3057,   3056, ...,   2807,     -1,     -1],\n",
       "       ...,\n",
       "       [316194, 316193, 316158, ..., 316195,     -1,     -1],\n",
       "       [316196, 316195, 316160, ..., 316197,     -1,     -1],\n",
       "       [316186, 316183, 316180, ..., 316187,     -1,     -1]], dtype=int32)</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>xp</span></div><div class='xr-var-dims'>(Np)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>1.394e+07 1.271e+07 ... 1.303e+07</div><input id='attrs-9b1043ad-b2e7-492b-813b-5d3c35a0de06' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-9b1043ad-b2e7-492b-813b-5d3c35a0de06' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-bf6e40f1-57c4-4bfb-9c80-f7e9903ff46b' class='xr-var-data-in' type='checkbox'><label for='data-bf6e40f1-57c4-4bfb-9c80-f7e9903ff46b' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>standard_name :</span></dt><dd>Easting</dd><dt><span>long_name :</span></dt><dd>Easting of 2D mesh node</dd></dl></div><div class='xr-var-data'><pre>array([13940360.830174, 12712058.187743, 15170797.611419, ...,\n",
       "       13029625.300474, 13030884.79243 , 13031453.520238])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>yp</span></div><div class='xr-var-dims'>(Np)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>-1.619e+06 ... -2.055e+06</div><input id='attrs-05c3d2c0-36a9-41ee-acfb-3ebf81931b00' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-05c3d2c0-36a9-41ee-acfb-3ebf81931b00' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-d572c878-32c7-4ec1-bafc-61995d3ccf8a' class='xr-var-data-in' type='checkbox'><label for='data-d572c878-32c7-4ec1-bafc-61995d3ccf8a' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>standard_name :</span></dt><dd>Northing</dd><dt><span>long_name :</span></dt><dd>Northing of 2D mesh nodes</dd></dl></div><div class='xr-var-data'><pre>array([-1618779.67439 , -2553293.974806, -1477086.29986 , ...,\n",
       "       -2055417.055595, -2055674.931722, -2054578.933535])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>nfaces</span></div><div class='xr-var-dims'>(Nc)</div><div class='xr-var-dtype'>int32</div><div class='xr-var-preview xr-preview'>6 6 6 6 6 6 6 6 ... 6 6 6 6 6 6 6 6</div><input id='attrs-d46dbb2d-1391-4de8-9925-8933ad097927' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-d46dbb2d-1391-4de8-9925-8933ad097927' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-64f97f1c-6289-4b96-9759-7b87ff84d15e' class='xr-var-data-in' type='checkbox'><label for='data-64f97f1c-6289-4b96-9759-7b87ff84d15e' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Number of cell faces</dd></dl></div><div class='xr-var-data'><pre>array([6, 6, 6, ..., 6, 6, 6], dtype=int32)</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>dv</span></div><div class='xr-var-dims'>(Nc)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>...</div><input id='attrs-f0032a2f-2655-4a1b-90c0-f28ccc3542eb' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-f0032a2f-2655-4a1b-90c0-f28ccc3542eb' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-096ed237-511c-4f79-a0a4-70e2681555a7' class='xr-var-data-in' type='checkbox'><label for='data-096ed237-511c-4f79-a0a4-70e2681555a7' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>standard_name :</span></dt><dd>sea_floor_depth_below_geoid</dd><dt><span>long_name :</span></dt><dd>seafloor depth</dd><dt><span>units :</span></dt><dd>m</dd><dt><span>mesh :</span></dt><dd>suntans_mesh</dd><dt><span>location :</span></dt><dd>face</dd><dt><span>positive :</span></dt><dd>down</dd></dl></div><div class='xr-var-data'><pre>[225368 values with dtype=float64]</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>modes</span></div><div class='xr-var-dims'>(Nmode)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>0.0 1.0 2.0 3.0</div><input id='attrs-5a21329a-6a99-452f-8cc7-00ffff72e89f' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-5a21329a-6a99-452f-8cc7-00ffff72e89f' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-51b633ad-f76e-41b5-836f-6d0e84d491b9' class='xr-var-data-in' type='checkbox'><label for='data-51b633ad-f76e-41b5-836f-6d0e84d491b9' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>Vertical mode number</dd><dt><span>units :</span></dt><dd></dd></dl></div><div class='xr-var-data'><pre>array([0., 1., 2., 3.])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>dz</span></div><div class='xr-var-dims'>(Nk)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>8.224 8.594 8.981 ... 254.8 266.2</div><input id='attrs-d5307c9f-41f4-48ed-91f2-ab217ba77fa0' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-d5307c9f-41f4-48ed-91f2-ab217ba77fa0' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-7bee9afa-258d-4122-8df2-291669a1db46' class='xr-var-data-in' type='checkbox'><label for='data-7bee9afa-258d-4122-8df2-291669a1db46' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>z layer spacing</dd><dt><span>units :</span></dt><dd>m</dd></dl></div><div class='xr-var-data'><pre>array([  8.224161,   8.594248,   8.980989,   9.385134,   9.807465,  10.248801,\n",
       "        10.709997,  11.191947,  11.695584,  12.221886,  12.771871,  13.346605,\n",
       "        13.947202,  14.574826,  15.230693,  15.916074,  16.632298,  17.380751,\n",
       "        18.162885,  18.980215,  19.834325,  20.726869,  21.659578,  22.634259,\n",
       "        23.652801,  24.717177,  25.82945 ,  26.991775,  28.206405,  29.475693,\n",
       "        30.802099,  32.188194,  33.636663,  35.150313,  36.732077,  38.38502 ,\n",
       "        40.112346,  41.917401,  43.803685,  45.77485 ,  47.834719,  49.987281,\n",
       "        52.236709,  54.58736 ,  57.043792,  59.610762,  62.293247,  65.096443,\n",
       "        68.025783,  71.086943,  74.285855,  77.628719,  81.122011,  84.772502,\n",
       "        88.587264,  92.573691,  96.739507, 101.092785, 105.64196 , 110.395849,\n",
       "       115.363662, 120.555027, 125.980003, 131.649103, 137.573312, 143.764112,\n",
       "       150.233497, 156.994004, 164.058734, 171.441377, 179.156239, 187.21827 ,\n",
       "       195.643092, 204.447031, 213.647148, 223.261269, 233.308026, 243.806887,\n",
       "       254.778197, 266.243216])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>z_r</span></div><div class='xr-var-dims'>(Nk)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>4.112 12.71 ... 5.73e+03 5.996e+03</div><input id='attrs-f5c08412-50cf-4388-be07-5dceee32ebce' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-f5c08412-50cf-4388-be07-5dceee32ebce' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-a60ea4ae-8236-43d7-b804-7390262d7e6a' class='xr-var-data-in' type='checkbox'><label for='data-a60ea4ae-8236-43d7-b804-7390262d7e6a' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>standard_name :</span></dt><dd>ocean_z_coordinate</dd><dt><span>long_name :</span></dt><dd>depth at layer mid points</dd><dt><span>units :</span></dt><dd>m</dd><dt><span>positive :</span></dt><dd>up</dd></dl></div><div class='xr-var-data'><pre>array([4.112081e+00, 1.270633e+01, 2.168732e+01, 3.107245e+01, 4.087992e+01,\n",
       "       5.112872e+01, 6.183871e+01, 7.303066e+01, 8.472625e+01, 9.694813e+01,\n",
       "       1.097200e+02, 1.230666e+02, 1.370138e+02, 1.515886e+02, 1.668193e+02,\n",
       "       1.827354e+02, 1.993677e+02, 2.167485e+02, 2.349113e+02, 2.538916e+02,\n",
       "       2.737259e+02, 2.944527e+02, 3.161123e+02, 3.387466e+02, 3.623994e+02,\n",
       "       3.871166e+02, 4.129460e+02, 4.399378e+02, 4.681442e+02, 4.976199e+02,\n",
       "       5.284220e+02, 5.606102e+02, 5.942468e+02, 6.293972e+02, 6.661292e+02,\n",
       "       7.045142e+02, 7.446266e+02, 7.865440e+02, 8.303477e+02, 8.761225e+02,\n",
       "       9.239573e+02, 9.739445e+02, 1.026181e+03, 1.080769e+03, 1.137812e+03,\n",
       "       1.197423e+03, 1.259716e+03, 1.324813e+03, 1.392839e+03, 1.463926e+03,\n",
       "       1.538211e+03, 1.615840e+03, 1.696962e+03, 1.781735e+03, 1.870322e+03,\n",
       "       1.962896e+03, 2.059635e+03, 2.160728e+03, 2.266370e+03, 2.376766e+03,\n",
       "       2.492129e+03, 2.612684e+03, 2.738664e+03, 2.870314e+03, 3.007887e+03,\n",
       "       3.151651e+03, 3.301884e+03, 3.458878e+03, 3.622937e+03, 3.794379e+03,\n",
       "       3.973535e+03, 4.160753e+03, 4.356396e+03, 4.560843e+03, 4.774490e+03,\n",
       "       4.997752e+03, 5.231060e+03, 5.474867e+03, 5.729645e+03, 5.995888e+03])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>N2_mu</span></div><div class='xr-var-dims'>(Nparams, Nc)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>...</div><input id='attrs-25d6a917-697e-4e8e-a01e-f45d520846bb' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-25d6a917-697e-4e8e-a01e-f45d520846bb' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-247febe3-de8d-4091-8468-592d336e78ef' class='xr-var-data-in' type='checkbox'><label for='data-247febe3-de8d-4091-8468-592d336e78ef' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>N2 fit mean parameters</dd></dl></div><div class='xr-var-data'><pre>[1577576 values with dtype=float64]</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>N2_re</span></div><div class='xr-var-dims'>(Nannual, Nparams, Nc)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>...</div><input id='attrs-f786622a-be61-41ad-b7bd-cbec3c7f8839' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-f786622a-be61-41ad-b7bd-cbec3c7f8839' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-59ec35ca-92c6-4a5d-b6f7-3ca41a152c2b' class='xr-var-data-in' type='checkbox'><label for='data-59ec35ca-92c6-4a5d-b6f7-3ca41a152c2b' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>N2 fit real harmonic parameters</dd></dl></div><div class='xr-var-data'><pre>[6310304 values with dtype=float64]</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>N2_im</span></div><div class='xr-var-dims'>(Nannual, Nparams, Nc)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>...</div><input id='attrs-2b568e1b-f877-42c5-9006-a4b3a0f2eb65' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-2b568e1b-f877-42c5-9006-a4b3a0f2eb65' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-1028bb60-f861-4b86-b674-e1bce905d775' class='xr-var-data-in' type='checkbox'><label for='data-1028bb60-f861-4b86-b674-e1bce905d775' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>N2 fit imaginary harmonic parameters</dd></dl></div><div class='xr-var-data'><pre>[6310304 values with dtype=float64]</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>SSH_BC_var</span></div><div class='xr-var-dims'>(Nc)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>...</div><input id='attrs-55e02b41-1e9e-44c3-be60-6e9c20e9e2bb' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-55e02b41-1e9e-44c3-be60-6e9c20e9e2bb' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-b4f7cf9e-4284-4293-8745-1c8b11756666' class='xr-var-data-in' type='checkbox'><label for='data-b4f7cf9e-4284-4293-8745-1c8b11756666' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>SSH_BC - signal variance</dd><dt><span>units :</span></dt><dd>m^2</dd></dl></div><div class='xr-var-data'><pre>[225368 values with dtype=float64]</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>SSH_BC_aa</span></div><div class='xr-var-dims'>(Nc)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>...</div><input id='attrs-0c1891cc-d988-4e5d-aeb0-0f80860a2d5c' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-0c1891cc-d988-4e5d-aeb0-0f80860a2d5c' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-9a541fcd-520b-4eaa-82db-e1c519d61519' class='xr-var-data-in' type='checkbox'><label for='data-9a541fcd-520b-4eaa-82db-e1c519d61519' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>SSH_BC - mean amplitude</dd><dt><span>units :</span></dt><dd>m</dd></dl></div><div class='xr-var-data'><pre>[225368 values with dtype=float64]</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>SSH_BC_Aa</span></div><div class='xr-var-dims'>(Ntide, Nc)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>...</div><input id='attrs-b5c1df51-1e83-475a-857b-9e8198f13d0c' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-b5c1df51-1e83-475a-857b-9e8198f13d0c' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-3ca8d355-126d-4c52-88e1-06a74a024c1b' class='xr-var-data-in' type='checkbox'><label for='data-3ca8d355-126d-4c52-88e1-06a74a024c1b' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>SSH_BC - real complex amplitude</dd><dt><span>units :</span></dt><dd>m</dd></dl></div><div class='xr-var-data'><pre>[7887880 values with dtype=float64]</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>SSH_BC_Ba</span></div><div class='xr-var-dims'>(Ntide, Nc)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>...</div><input id='attrs-cc2597e0-84ee-40f7-a366-b5627981eb90' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-cc2597e0-84ee-40f7-a366-b5627981eb90' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-dba6236e-11ee-491b-88bf-d24ad0e4d519' class='xr-var-data-in' type='checkbox'><label for='data-dba6236e-11ee-491b-88bf-d24ad0e4d519' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>long_name :</span></dt><dd>SSH_BC - imaginary complex amplitude</dd><dt><span>units :</span></dt><dd>m</dd></dl></div><div class='xr-var-data'><pre>[7887880 values with dtype=float64]</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-5db9b0ae-ad54-4712-bf22-dd1d3a0ebadd' class='xr-section-summary-in' type='checkbox'  checked><label for='section-5db9b0ae-ad54-4712-bf22-dd1d3a0ebadd' class='xr-section-summary' >Attributes: <span>(8)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><dl class='xr-attrs'><dt><span>Description :</span></dt><dd>Internal wave and density stratification climatology file</dd><dt><span>Author :</span></dt><dd>Matt Rayson (matt.rayson@uwa.edu.au)</dd><dt><span>Created :</span></dt><dd>2020-11-09 14:41:34.157804</dd><dt><span>Title :</span></dt><dd>SUNTANS density stratification climatology</dd><dt><span>density_func :</span></dt><dd>double_gaussian_N2_v2</dd><dt><span>density_func_tex :</span></dt><dd>N^2(z) = \\beta_0 + \\beta_1  \\left( \\beta_6* \\exp \\left[- \\left( \\frac{z+\\beta_2}{\\beta_3} \\right)^2 \\right] + (1-\\beta_6)*\\exp \\left[- \\left( \\frac{z+\\beta_4}{\\beta_5} \\right)^2 \\right] \\right)</dd><dt><span>Number_Annual_Harmonics :</span></dt><dd>3</dd><dt><span>ReferenceDate :</span></dt><dd>1990-01-01T00:00:00</dd></dl></div></li></ul></div></div>"
      ],
      "text/plain": [
       "<xarray.Dataset>\n",
       "Dimensions:     (Nannual: 4, Nc: 225368, Nk: 80, Nkw: 81, Nmode: 4, Np: 454016, Nparams: 7, Ntide: 35, numsides: 8)\n",
       "Coordinates:\n",
       "    xv          (Nc) float64 1.213e+07 1.214e+07 ... 1.31e+07 1.312e+07\n",
       "    yv          (Nc) float64 -2.188e+06 -2.2e+06 ... -1.463e+06 -1.458e+06\n",
       "    Nk          (Nc) int32 ...\n",
       "    z_w         (Nkw) float64 0.0 8.224 16.82 25.8 ... 5.479e+03 5.734e+03 6e+03\n",
       "    omegaA      (Nannual) float64 1.992e-07 3.985e-07 5.977e-07 7.97e-07\n",
       "    params      (Nparams) int64 0 1 2 3 4 5 6\n",
       "    omega       (Ntide) float64 0.0001399 0.0001401 ... 6.8e-05 6.82e-05\n",
       "Dimensions without coordinates: Nannual, Nc, Nkw, Nmode, Np, Nparams, Ntide, numsides\n",
       "Data variables:\n",
       "    cells       (Nc, numsides) int32 3058 3061 3060 2801 ... 316184 316187 -1 -1\n",
       "    xp          (Np) float64 1.394e+07 1.271e+07 ... 1.303e+07 1.303e+07\n",
       "    yp          (Np) float64 -1.619e+06 -2.553e+06 ... -2.056e+06 -2.055e+06\n",
       "    nfaces      (Nc) int32 6 6 6 6 6 6 6 6 6 6 6 6 6 ... 6 6 6 6 6 6 6 6 6 6 6 6\n",
       "    dv          (Nc) float64 ...\n",
       "    modes       (Nmode) float64 0.0 1.0 2.0 3.0\n",
       "    dz          (Nk) float64 8.224 8.594 8.981 9.385 ... 233.3 243.8 254.8 266.2\n",
       "    z_r         (Nk) float64 4.112 12.71 21.69 ... 5.475e+03 5.73e+03 5.996e+03\n",
       "    N2_mu       (Nparams, Nc) float64 ...\n",
       "    N2_re       (Nannual, Nparams, Nc) float64 ...\n",
       "    N2_im       (Nannual, Nparams, Nc) float64 ...\n",
       "    SSH_BC_var  (Nc) float64 ...\n",
       "    SSH_BC_aa   (Nc) float64 ...\n",
       "    SSH_BC_Aa   (Ntide, Nc) float64 ...\n",
       "    SSH_BC_Ba   (Ntide, Nc) float64 ...\n",
       "Attributes:\n",
       "    Description:              Internal wave and density stratification climat...\n",
       "    Author:                   Matt Rayson (matt.rayson@uwa.edu.au)\n",
       "    Created:                  2020-11-09 14:41:34.157804\n",
       "    Title:                    SUNTANS density stratification climatology\n",
       "    density_func:             double_gaussian_N2_v2\n",
       "    density_func_tex:         N^2(z) = \\beta_0 + \\beta_1  \\left( \\beta_6* \\ex...\n",
       "    Number_Annual_Harmonics:  3\n",
       "    ReferenceDate:            1990-01-01T00:00:00"
      ]
     },
     "execution_count": 78,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "new_ds.attrs['Created'] = str(datetime.now())\n",
    "new_ds.attrs['Description'] = 'Internal wave and density stratification climatology file'\n",
    "new_ds.attrs['Author'] = 'Matt Rayson (matt.rayson@uwa.edu.au)'\n",
    "new_ds.attrs['Number_Annual_Harmonics'] = ssh.attrs['Number_Annual_Harmonics']\n",
    "\n",
    "new_ds"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'N2_mu': {'zlib': True, 'complevel': 5},\n",
       " 'N2_re': {'zlib': True, 'complevel': 5},\n",
       " 'N2_im': {'zlib': True, 'complevel': 5},\n",
       " 'SSH_BC_var': {'zlib': True, 'complevel': 5},\n",
       " 'SSH_BC_aa': {'zlib': True, 'complevel': 5},\n",
       " 'SSH_BC_Aa': {'zlib': True, 'complevel': 5},\n",
       " 'SSH_BC_Ba': {'zlib': True, 'complevel': 5}}"
      ]
     },
     "execution_count": 72,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "compflags = {'zlib':True, 'complevel':5}\n",
    "encoding = {}\n",
    "outvars= ['N2_mu', 'N2_re','N2_im','SSH_BC_var','SSH_BC_aa','SSH_BC_Aa', 'SSH_BC_Ba']\n",
    "for vv in outvars:\n",
    "    encoding.update({vv:compflags})\n",
    "encoding\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "metadata": {},
   "outputs": [],
   "source": [
    "new_ds.to_netcdf(outfile, encoding=encoding)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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