Removed small numbers that should be 0. Does not affect convergence n…

…umbers.
trixi-framework · Feb 22, 2024 · 7497cda · 7497cda
1 parent e682381
commit 7497cda
Showing 1 changed file with 1 addition and 1 deletion.
diff --git a/examples/tree_3d_dgsem/elixir_mhd_diffusive_convergence.jl b/examples/tree_3d_dgsem/elixir_mhd_diffusive_convergence.jl
@@ -66,7 +66,7 @@ end
 
     r_4 = -pi^2*mu_const*((0.003*sin(-2*sqrt(5)*pi*t + 2*pi*x[1] + 4*pi*x[2] + 1) + 0.001*sin(1))*(0.02*cos(-sqrt(5)*pi*t + pi*(x[1] + 2*x[2] - 3.0) + 1) + 1) + 0.1*(0.02*cos(-sqrt(5)*pi*t + pi*(x[1] + 2*x[2] - 3.0) + 1) + 1)^2*sin(pi*(-sqrt(5)*t + x[1] + 2*x[2])) - 8.0e-5*sin(pi*(-sqrt(5)*t + x[1] + 2*x[2]))*sin(-sqrt(5)*pi*t + pi*(x[1] + 2*x[2] - 3.0) + 1)^2)/(0.02*cos(-sqrt(5)*pi*t + pi*(x[1] + 2*x[2] - 3.0) + 1) + 1)^3
 
-    r_5 = 0.2*pi*(1.7205356741103e-21*pi*mu_const*(cos(-4*sqrt(5)*pi*t + 4*pi*x[1] + 8*pi*x[2] + 2) - cos(2)) - 1.01643953670516e-19*pi*mu_const*(cos(-3*sqrt(5)*pi*t + 3*pi*x[1] + 6*pi*x[2] + 1) - cos(sqrt(5)*pi*t - pi*x[1] - 2*pi*x[2] + 1)) + 2.77777777777778e-7*pi*mu_const*sin(pi*(-sqrt(5)*t + x[1] + 2*x[2]))^2*sin(-sqrt(5)*pi*t + pi*x[1] + 2*pi*x[2] + 1)^2*cos(-sqrt(5)*pi*t + pi*x[1] + 2*pi*x[2] + 1) -2.58888888888889e-5*pi*mu_const*sin(pi*(-sqrt(5)*t + x[1] + 2*x[2]))^2*sin(-sqrt(5)*pi*t + pi*x[1] + 2*pi*x[2] + 1)^2 + 1.38888888888889e-7*pi*mu_const*sin(pi*(-sqrt(5)*t + x[1] + 2*x[2]))^2*cos(-sqrt(5)*pi*t + pi*x[1] + 2*pi*x[2] + 1)^3 - 1.78888888888889e-5*pi*mu_const*sin(pi*(-sqrt(5)*t + x[1] + 2*x[2]))^2*cos(-sqrt(5)*pi*t + pi*x[1] + 2*pi*x[2] + 1)^2 + 0.000547222222222222*pi*mu_const*sin(pi*(-sqrt(5)*t + x[1] + 2*x[2]))^2*cos(-sqrt(5)*pi*t + pi*x[1] + 2*pi*x[2] + 1) + 4.33680868994202e-18*pi*mu_const*sin(pi*(-sqrt(5)*t + x[1]+ 2*x[2]))^2 - 1.17643464896431e-22*pi*mu_const*sin(pi*(-sqrt(5)*t + x[1] + 2*x[2]))*sin(-sqrt(5)*pi*t + pi*x[1] + 2*pi*x[2] + 1)*cos(pi*(sqrt(5)*t - x[1] - 2*x[2] + 3.0))*cos(-sqrt(5)*pi*t + pi*x[1] + 2*pi*x[2] + 1)^2 + 2.77777777777778e-7*pi*mu_const*sin(-sqrt(5)*pi*t +pi*x[1] + 2*pi*x[2] + 1)^2*cos(pi*(sqrt(5)*t - x[1] - 2*x[2] + 3.0))^2*cos(-sqrt(5)*pi*t + pi*x[1] + 2*pi*x[2] + 1) - 2.58888888888889e-5*pi*mu_const*sin(-sqrt(5)*pi*t + pi*x[1] + 2*pi*x[2] + 1)^2*cos(pi*(sqrt(5)*t - x[1] - 2*x[2] + 3.0))^2 - 2.16840434497101e-25*pi*mu_const*cos(pi*(sqrt(5)*t - x[1] - 2*x[2] + 3.0))^2*cos(-sqrt(5)*pi*t + pi*x[1] + 2*pi*x[2] + 1)^4 + 1.38888888888889e-7*pi*mu_const*cos(pi*(sqrt(5)*t - x[1] - 2*x[2] + 3.0))^2*cos(-sqrt(5)*pi*t + pi*x[1] + 2*pi*x[2] + 1)^3 - 1.78888888888889e-5*pi*mu_const*cos(pi*(sqrt(5)*t - x[1] - 2*x[2] + 3.0))^2*cos(-sqrt(5)*pi*t + pi*x[1] + 2*pi*x[2] + 1)^2 + 0.000547222222222223*pi*mu_const*cos(pi*(sqrt(5)*t - x[1] -2*x[2] + 3.0))^2*cos(-sqrt(5)*pi*t + pi*x[1] + 2*pi*x[2] + 1) - 6.64073830647371e-18*pi*mu_const*cos(pi*(sqrt(5)*t - x[1] - 2*x[2] + 3.0))^2 + 1.0842021724855e-21*sqrt(5)*(-sin(-3*sqrt(5)*pi*t + 3*pi*x[1] + 6*pi*x[2] + 1) + sin(sqrt(5)*pi*t - pi*x[1] - 2*pi*x[2] + 1)) + 1.0842021724855e-27*sqrt(5)*(cos(-2*sqrt(5)*pi*t + 2*pi*x[1] + 4*pi*x[2] + 2) + 1)^2*sin(pi*(-2*sqrt(5)*t + 2*x[1] + 4*x[2])) - 1.62630325872826e-23*sqrt(5)*(-2*sin(pi*(-2*sqrt(5)*t + 2*x[1] + 4*x[2])) - sin(-4*sqrt(5)*pi*t + 4*pi*x[1] + 8*pi*x[2] + 2) +sin(2)) + 1.0e-7*sqrt(5)*(-sin(-4*sqrt(5)*pi*t + 4*pi*x[1] + 8*pi*x[2] + 2) + 2*sin(-2*sqrt(5)*pi*t + 2*pi*x[1] + 4*pi*x[2] + 2) - sin(2)) + 1.0e-7*sqrt(5)*(sin(-4*sqrt(5)*pi*t + 4*pi*x[1] + 8*pi*x[2] + 2) + 2*sin(-2*sqrt(5)*pi*t + 2*pi*x[1] + 4*pi*x[2] + 2) + sin(2)) + 2.71050543121376e-20*sqrt(5)*sin(pi*(-2*sqrt(5)*t + 2*x[1] + 4*x[2])) - 8.0e-9*sqrt(5)*sin(pi*(-sqrt(5)*t + x[1] + 2*x[2]))^2*sin(-sqrt(5)*pi*t + pi*x[1] + 2*pi*x[2] + 1)*cos(-sqrt(5)*pi*t + pi*x[1] + 2*pi*x[2] + 1)^2 - 2.0e-5*sqrt(5)*sin(pi*(-sqrt(5)*t + x[1] + 2*x[2]))^2*sin(-sqrt(5)*pi*t + pi*x[1] + 2*pi*x[2] + 1) + 1.73472347597681e-24*sqrt(5)*sin(pi*(-sqrt(5)*t + x[1] + 2*x[2]))*cos(pi*(sqrt(5)*t - x[1] - 2*x[2] + 3.0))*cos(-sqrt(5)*pi*t + pi*x[1] + 2*pi*x[2] + 1)^3 - 8.0e-9*sqrt(5)*sin(-sqrt(5)*pi*t+ pi*x[1] + 2*pi*x[2] + 1)*cos(pi*(sqrt(5)*t - x[1] - 2*x[2] + 3.0))^2*cos(-sqrt(5)*pi*t + pi*x[1] + 2*pi*x[2] + 1)^2 - 2.0e-5*sqrt(5)*sin(-sqrt(5)*pi*t + pi*x[1] + 2*pi*x[2] + 1)*cos(pi*(sqrt(5)*t - x[1] - 2*x[2] + 3.0))^2)/(-0.04*sin(pi*x[2])*sin(-sqrt(5)*pi*t + pi*x[1] + pi*x[2] + 1) + 0.02*cos(-sqrt(5)*pi*t + pi*x[1] + 1) - 1.0)^4
+    r_5 = 0.2*pi*(2.77777777777778e-7*pi*mu_const*sin(pi*(-sqrt(5)*t + x[1] + 2*x[2]))^2*sin(-sqrt(5)*pi*t + pi*x[1] + 2*pi*x[2] + 1)^2*cos(-sqrt(5)*pi*t + pi*x[1] + 2*pi*x[2] + 1) -2.58888888888889e-5*pi*mu_const*sin(pi*(-sqrt(5)*t + x[1] + 2*x[2]))^2*sin(-sqrt(5)*pi*t + pi*x[1] + 2*pi*x[2] + 1)^2 + 1.38888888888889e-7*pi*mu_const*sin(pi*(-sqrt(5)*t + x[1] + 2*x[2]))^2*cos(-sqrt(5)*pi*t + pi*x[1] + 2*pi*x[2] + 1)^3 - 1.78888888888889e-5*pi*mu_const*sin(pi*(-sqrt(5)*t + x[1] + 2*x[2]))^2*cos(-sqrt(5)*pi*t + pi*x[1] + 2*pi*x[2] + 1)^2 + 0.000547222222222222*pi*mu_const*sin(pi*(-sqrt(5)*t + x[1] + 2*x[2]))^2*cos(-sqrt(5)*pi*t + pi*x[1] + 2*pi*x[2] + 1) + 2.77777777777778e-7*pi*mu_const*sin(-sqrt(5)*pi*t +pi*x[1] + 2*pi*x[2] + 1)^2*cos(pi*(sqrt(5)*t - x[1] - 2*x[2] + 3.0))^2*cos(-sqrt(5)*pi*t + pi*x[1] + 2*pi*x[2] + 1) - 2.58888888888889e-5*pi*mu_const*sin(-sqrt(5)*pi*t + pi*x[1] + 2*pi*x[2] + 1)^2*cos(pi*(sqrt(5)*t - x[1] - 2*x[2] + 3.0))^2 + 1.38888888888889e-7*pi*mu_const*cos(pi*(sqrt(5)*t - x[1] - 2*x[2] + 3.0))^2*cos(-sqrt(5)*pi*t + pi*x[1] + 2*pi*x[2] + 1)^3 - 1.78888888888889e-5*pi*mu_const*cos(pi*(sqrt(5)*t - x[1] - 2*x[2] + 3.0))^2*cos(-sqrt(5)*pi*t + pi*x[1] + 2*pi*x[2] + 1)^2 + 0.000547222222222223*pi*mu_const*cos(pi*(sqrt(5)*t - x[1] -2*x[2] + 3.0))^2*cos(-sqrt(5)*pi*t + pi*x[1] + 2*pi*x[2] + 1) + 1.0e-7*sqrt(5)*(-sin(-4*sqrt(5)*pi*t + 4*pi*x[1] + 8*pi*x[2] + 2) + 2*sin(-2*sqrt(5)*pi*t + 2*pi*x[1] + 4*pi*x[2] + 2) - sin(2)) + 1.0e-7*sqrt(5)*(sin(-4*sqrt(5)*pi*t + 4*pi*x[1] + 8*pi*x[2] + 2) + 2*sin(-2*sqrt(5)*pi*t + 2*pi*x[1] + 4*pi*x[2] + 2) + sin(2)) - 8.0e-9*sqrt(5)*sin(pi*(-sqrt(5)*t + x[1] + 2*x[2]))^2*sin(-sqrt(5)*pi*t + pi*x[1] + 2*pi*x[2] + 1)*cos(-sqrt(5)*pi*t + pi*x[1] + 2*pi*x[2] + 1)^2 - 2.0e-5*sqrt(5)*sin(pi*(-sqrt(5)*t + x[1] + 2*x[2]))^2*sin(-sqrt(5)*pi*t + pi*x[1] + 2*pi*x[2] + 1) - 8.0e-9*sqrt(5)*sin(-sqrt(5)*pi*t+ pi*x[1] + 2*pi*x[2] + 1)*cos(pi*(sqrt(5)*t - x[1] - 2*x[2] + 3.0))^2*cos(-sqrt(5)*pi*t + pi*x[1] + 2*pi*x[2] + 1)^2 - 2.0e-5*sqrt(5)*sin(-sqrt(5)*pi*t + pi*x[1] + 2*pi*x[2] + 1)*cos(pi*(sqrt(5)*t - x[1] - 2*x[2] + 3.0))^2)/(-0.04*sin(pi*x[2])*sin(-sqrt(5)*pi*t + pi*x[1] + pi*x[2] + 1) + 0.02*cos(-sqrt(5)*pi*t + pi*x[1] + 1) - 1.0)^4
 
     r_6 = pi*(-0.04*(sqrt(5)*pi*eta_const*cos(pi*(-sqrt(5)*t + x[1] + 2*x[2])) + sin(pi*(-sqrt(5)*t + x[1] + 2*x[2])))*(0.02*cos(-sqrt(5)*pi*t + pi*(x[1] + 2*x[2] - 3.0) + 1) + 1)^2 + 0.04*(0.02*cos(-sqrt(5)*pi*t + pi*(x[1] + 2*x[2] - 3.0) + 1) + 1)*sin(pi*(-sqrt(5)*t + x[1] + 2*x[2])) + 0.0004*sin(-2*sqrt(5)*pi*t + 2*pi*x[1] + 4*pi*x[2] + 1) + 0.0004*sin(1))/(0.02*cos(-sqrt(5)*pi*t + pi*(x[1] + 2*x[2] - 3.0) + 1) + 1)^2