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shock_tube_stab3.f90
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subroutine shock_tube_stab3
use parameters,only:pi
use globalvar,only:ix,jx,kx,U_h,U_m,flag_bnd,col,beta,flag_b_stg,dtout,&
flag_mhd,flag_mpi,my_rank,flag_pip,gm,beta,tend,&
x,y,z,dx,dy,dz,n_fraction,debug_direction,debug_option
use scheme_rot,only:pv2cq_mhd,pv2cq_hd
use model_rot, only:set_coordinate,setcq
implicit none
double precision :: ro_h(1:ix,1:jx,1:kx),ro_m(1:ix,1:jx,1:kx)
double precision :: vx_h(1:ix,1:jx,1:kx),vx_m(1:ix,1:jx,1:kx)
double precision :: vy_h(1:ix,1:jx,1:kx),vy_m(1:ix,1:jx,1:kx)
double precision :: vz_h(1:ix,1:jx,1:kx),vz_m(1:ix,1:jx,1:kx)
double precision :: P_h (1:ix,1:jx,1:kx),P_m (1:ix,1:jx,1:kx)
double precision :: B_x (1:ix,1:jx,1:kx)
double precision :: B_y (1:ix,1:jx,1:kx)
double precision :: B_z (1:ix,1:jx,1:kx)
double precision ::mask(ix,jx,kx)
double precision ::v_para(ix,jx,kx),v_perp(ix,jx,kx)
double precision ::b_para(ix,jx,kx),b_perp(ix,jx,kx)
double precision ::v_b_para(ix,jx,kx),b_b_para(ix,jx,kx)
double precision ::v_theta(ix,jx,kx),v_phi(ix,jx,kx)
double precision ::b_theta(ix,jx,kx),b_phi(ix,jx,kx)
double precision f_n,f_p,f_p_n,f_p_p,start(3),end(3),B0
double precision theta_p,phi_p,tmp,v_L(8),v_R(8),wtr,wtrf
double precision mach,rcom,rpres,alf,ang, byrat,vyrat,vu,bxu,byu,rou,pru,vxu
double precision rorand1,rorand2
integer i,j,k,dpl
!set ionization fraction-----------------
if(flag_pip.eq.0) then
f_n=1.0d0
f_p=1.0d0
f_p_n=1.0d0
f_p_p=1.0d0
else
f_n=n_fraction
f_p=1.0d0-n_fraction
f_p_n=f_n/(f_n+2.0d0*f_p)
f_p_p=2.0d0*f_p/(f_n+2.0d0*f_p)
endif
!----------------------------------------
!Set coordinate (uniform grid)--------------------------
!!set lower and upper coordinate
start(1)=-25.0d0 ;end(1)=25.d0!1200.0d0 !400.0d0/f_p
start(2)=0.0d0 ;end(2)=10.0d0
start(3)=-1.0d0 ;end(3)=1.0d0
call set_coordinate(start,end)
!---------------------------------------
!!default boundary condition----------------------
if (flag_bnd(1) .eq.-1) flag_bnd(1)=20
if (flag_bnd(2) .eq.-1) flag_bnd(2)=20
if (flag_bnd(3) .eq.-1) flag_bnd(3)=1
if (flag_bnd(4) .eq.-1) flag_bnd(4)=1
if (flag_bnd(5) .eq.-1) flag_bnd(5)=10
if (flag_bnd(6) .eq.-1) flag_bnd(6)=10
!-------------------------------------------------
!!!========================================================
!parameters---------------------
! B0=sqrt(2.0*gm/beta)
B0=1.0d0
!/sqrt(2.0)
!-------------------------
mask=spread(spread(pi*x,2,jx),3,kx)
phi_p=0.0d0
theta_p=pi/2.0d0
tmp=0.0
print*,'Parallel shock'
mach=2.d0
rcom=(gm+1.d0)*mach**2/(2.d0+(gm-1.d0)*mach**2)
rpres=1.d0+gm*mach**2*(1.d0-1.d0/rcom)
! v_l=(/rcom,rpres,10.0d0*sqrt(gm)/rcom+10.0d0*sqrt(gm),0.0d0,0.0d0,2.0d0*sqrt(gm)*mach,0.0d0,0.0d0/)
! v_r=(/1.0d0,1.0d0,0.0d0,0.0d0,0.0d0,2.0d0*sqrt(gm)*mach,0.0d0,0.0d0/)
v_l=(/rcom,rpres/gm,-mach/rcom,0.0d0,0.0d0,dsqrt(2.d0/gm/beta),0.0d0,0.0d0/) !Use this one!
v_r=(/1.0d0,1.0d0/gm,-mach,0.0d0,0.0d0,dsqrt(2.d0/gm/beta),0.0d0,0.0d0/)
!v_l=v_r
!print*,'r',rpres
where(mask<0)
ro_h=f_n*v_l(1)
p_h=f_p_n*v_l(2)
ro_m=f_p*v_l(1)
p_m=f_p_p*v_l(2)
vx_h=v_l(3)
vy_h=v_l(4)
vz_h=v_l(5)
vx_m=v_l(3)
vy_m=v_l(4)
vz_m=v_l(5)
b_para=v_l(6)
b_perp=v_l(7)
elsewhere
ro_h=f_n*v_r(1)
p_h=f_p_n*v_r(2)
ro_m=f_p*v_r(1)
p_m=f_p_p*v_r(2)
vx_h=v_r(3)
vy_h=v_r(4)
vz_h=v_r(5)
vx_m=v_r(3)
vy_m=v_r(4)
vz_m=v_r(5)
b_para=v_r(6)
b_perp=v_r(7)
end where
! wtr=0.001d0
wtr=0.0d0!dx(1)*2.d0!0.001d0
wtrf=0.0d0!dx(1)*4.d0
!0.001d0
do k=1,kx;do j=1,jx;do i=1,ix
ro_h(i,j,k)=f_n*(v_l(1)+(v_r(1)-v_l(1))*(1.0d0+dtanh(mask(i,j,k)/wtr-wtrf))*0.5d0)
ro_m(i,j,k)=f_p*(v_l(1)+(v_r(1)-v_l(1))*(1.0d0+dtanh(mask(i,j,k)/wtr-wtrf))*0.5d0)
p_h(i,j,k)=f_p_n*(v_l(2)+(v_r(2)-v_l(2))*(1.0d0+dtanh(mask(i,j,k)/wtr-wtrf))*0.5d0)
p_m(i,j,k)=f_p_p*(v_l(2)+(v_r(2)-v_l(2))*(1.0d0+dtanh(mask(i,j,k)/wtr-wtrf))*0.5d0)
vx_h(i,j,k)=(v_l(3)+(v_r(3)-v_l(3))*(1.0d0+dtanh(mask(i,j,k)/wtr-wtrf))*0.5d0)
vx_m(i,j,k)=(v_l(3)+(v_r(3)-v_l(3))*(1.0d0+dtanh(mask(i,j,k)/wtr-wtrf))*0.5d0)
vy_h(i,j,k)=(v_l(4)+(v_r(4)-v_l(4))*(1.0d0+dtanh(mask(i,j,k)/wtr-wtrf))*0.5d0)
vy_m(i,j,k)=(v_l(4)+(v_r(4)-v_l(4))*(1.0d0+dtanh(mask(i,j,k)/wtr-wtrf))*0.5d0)
vz_h(i,j,k)=(v_l(5)+(v_r(5)-v_l(5))*(1.0d0+dtanh(mask(i,j,k)/wtr-wtrf))*0.5d0)
vz_m(i,j,k)=(v_l(5)+(v_r(5)-v_l(5))*(1.0d0+dtanh(mask(i,j,k)/wtr-wtrf))*0.5d0)
b_para(i,j,k)=(v_l(6)+(v_r(6)-v_l(6))*(1.0d0+dtanh(mask(i,j,k)/wtr-wtrf))*0.5d0)
b_perp(i,j,k)=(v_l(7)+(v_r(7)-v_l(7))*(1.0d0+dtanh(mask(i,j,k)/wtr-wtrf))*0.5d0)
call srand(81728)
wtr=1.d0
if ((x(i) .GE. 10.0d0) .AND. (x(i) .LE. 20.0d0)) then
do dpl=1,10
rorand1=rand()
rorand2=rand()
ro_m(i,j,k)=ro_m(i,j,k)+f_p*0.1d0*rorand1*&
dsin((x(i)-10.0d0)*3.14d0/10.0d0)* dcos((y(j)-rorand2*10.d0)*3.14d0/10.0d0*2.d0*wtr)
ro_h(i,j,k)=ro_h(i,j,k)+f_n*0.1d0*rorand1*&
dsin((x(i)-10.0d0)*3.14d0/10.0d0)* dcos((y(j)-rorand2*10.d0)*3.14d0/10.0d0*2.d0*wtr)
wtr=wtr+1.d0
enddo
endif
enddo;enddo;enddo
!print*,f_p_p,rpres/gm,p_m(1,1,1)
!print*,f_p,rcom,ro_m(1,1,1)
b_theta=b_perp*dsin(tmp)
b_phi =b_perp*dcos(tmp)
b_x=b_para*dsin(theta_p)*dcos(phi_p)+ &
b_theta*dcos(theta_p)*dcos(phi_p)-b_phi*dsin(phi_p)
b_y=b_para*dsin(theta_p)*dsin(phi_p)+ &
b_theta*dcos(theta_p)*dsin(phi_p)+b_phi*dcos(phi_p)
b_z=b_para*dcos(theta_p)-b_theta*dsin(theta_p)
!!!========================================================
!convert PV2cq and set that value to global variable 'U_h' and/or 'U_m'
call setcq(ro_m,vx_m,vy_m,vz_m,p_m,B_x,B_y,B_z, &
ro_h,vx_h,vy_h,vz_h,p_h)
!---------------------------------------------------------------------
!set default output period and time duration--------------------------
if(tend.lt.0.0) then
tend=0.4d0
dtout=tend/10.0
if(flag_mpi.eq.0 .or.my_rank.eq.0) print *,"TEND",dtout,tend
endif
!---------------------------------------------------------------------
end subroutine shock_tube_stab3