SALOME platform Git repositories - tools/solverlab.git/blob

   1 import cdmath
   2 import WaveSystemUpwind
   3 import matplotlib
   4 matplotlib.use("Agg")
   5 import matplotlib.pyplot as plt
   6 import numpy as np
   7 from math import log10, sqrt
   8 import sys
   9 import time, json
  10
  11
  12 def test_validation3DWaveSystemUpwindTetrahedra(bctype,scaling):
  13     start = time.time()
  14     #### 3D tetrahedral mesh of a cartesian mesh
  15     #meshList=[5,11,21,26]
  16     meshList=['meshCubeTetrahedra_0','meshCubeTetrahedra_1','meshCubeTetrahedra_2','meshCubeTetrahedra_3','meshCubeTetrahedra_4']
  17     mesh_path='../../../ressources/3DTetrahedra/'
  18     meshType="Unstructured tetrahedra"
  19     testColor="Green"
  20     nbMeshes=len(meshList)
  21     error_p_tab=[0]*nbMeshes
  22     error_u_tab=[0]*nbMeshes
  23     mesh_size_tab=[0]*nbMeshes
  24     mesh_name='CubeWithTetrahedra'
  25     diag_data_press=[0]*nbMeshes
  26     diag_data_vel=[0]*nbMeshes
  27     time_tab=[0]*nbMeshes
  28     t_final=[0]*nbMeshes
  29     ndt_final=[0]*nbMeshes
  30     max_vel=[0]*nbMeshes
  31     resolution=100
  32     curv_abs=np.linspace(0,sqrt(3),resolution+1)
  33
  34     plt.close('all')
  35     i=0
  36     cfl=1./3
  37
  38     # Storing of numerical errors, mesh sizes and diagonal values
  39     for filename in meshList:
  40     #for nx in meshList:
  41         #my_mesh=cdmath.Mesh(0.,1.,nx,0.,1.,nx,0.,1.,nx,6)
  42         #error_p_tab[i], error_u_tab[i], mesh_size_tab[i], t_final[i], ndt_final[i], max_vel[i], diag_data_press[i], diag_data_vel[i], time_tab[i] =WaveSystemUpwind.solve(my_mesh, mesh_name+str(my_mesh.getNumberOfCells()), resolution,scaling,meshType,testColor,cfl,bctype)
  43         error_p_tab[i], error_u_tab[i], mesh_size_tab[i], t_final[i], ndt_final[i], max_vel[i], diag_data_press[i], diag_data_vel[i], time_tab[i] =WaveSystemUpwind.solve_file(mesh_path+filename, mesh_name, resolution,scaling,meshType,testColor,cfl,bctype)
  44         print("max_vel[i]=", max_vel[i])
  45         assert max_vel[i]>0.5 and max_vel[i]<2
  46         error_p_tab[i]=log10(error_p_tab[i])
  47         error_u_tab[i]=log10(error_u_tab[i])
  48         i=i+1
  49
  50     end = time.time()
  51
  52     # Plot over diagonal line
  53     for i in range(nbMeshes):
  54         plt.plot(curv_abs, diag_data_press[i], label= str(mesh_size_tab[i]) + ' cells')
  55     plt.legend()
  56     plt.xlabel('Position on diagonal line')
  57     plt.ylabel('Pressure on diagonal line')
  58     plt.title('Plot over diagonal line for stationary wave system \n on 3D tetrahedral meshes')
  59     plt.savefig(mesh_name+'_Pressure_3DWaveSystemUpwind_'+"PlotOverDiagonalLine.png")
  60     plt.close()
  61
  62     plt.clf()
  63     for i in range(nbMeshes):
  64         plt.plot(curv_abs, diag_data_vel[i],   label= str(mesh_size_tab[i]) + ' cells')
  65     plt.legend()
  66     plt.xlabel('Position on diagonal line')
  67     plt.ylabel('Velocity on diagonal line')
  68     plt.title('Plot over diagonal line for the stationary wave system \n on 3D tetrahedral meshes')
  69     plt.savefig(mesh_name+"_Velocity_3DWaveSystemUpwind_"+"PlotOverDiagonalLine.png")
  70     plt.close()
  71
  72     # Plot of number of time steps
  73     plt.close()
  74     plt.plot(mesh_size_tab, ndt_final, label='Number of time step to reach stationary regime')
  75     plt.legend()
  76     plt.xlabel('number of cells')
  77     plt.ylabel('Max time steps for stationary regime')
  78     plt.title('Number of times steps required \n for the stationary Wave System on 3D tetrahedral meshes')
  79     plt.savefig(mesh_name+"_3DWaveSystemUpwind_"+"TimeSteps.png")
  80
  81     # Plot of time where stationary regime is reached
  82     plt.close()
  83     plt.plot(mesh_size_tab, t_final, label='Time where stationary regime is reached')
  84     plt.legend()
  85     plt.xlabel('number of cells')
  86     plt.ylabel('Max time for stationary regime')
  87     plt.title('Simulated time  \n for the stationary Wave System on 3D tetrahedral meshes')
  88     plt.savefig(mesh_name+"_3DWaveSystemUpwind_"+"TimeFinal.png")
  89
  90     # Plot of maximal velocity norm
  91     plt.close()
  92     plt.plot(mesh_size_tab, max_vel, label='Maximum velocity norm')
  93     plt.legend()
  94     plt.xlabel('number of cells')
  95     plt.ylabel('Max velocity norm')
  96     plt.title('Maximum velocity norm  \n for the stationary Wave System on 3D tetrahedral meshes')
  97     plt.savefig(mesh_name+"_3DWaveSystemUpwind_"+"MaxVelNorm.png")
  98
  99
 100     for i in range(nbMeshes):
 101         mesh_size_tab[i] = 0.5*log10(mesh_size_tab[i])
 102
 103     # Least square linear regression
 104     # Find the best a,b such that f(x)=ax+b best approximates the convergence curve
 105     # The vector X=(a,b) solves a symmetric linear system AX=B with A=(a1,a2\\a2,a3), B=(b1,b2)
 106     a1=np.dot(mesh_size_tab,mesh_size_tab)
 107     a2=np.sum(mesh_size_tab)
 108     a3=nbMeshes
 109
 110     det=a1*a3-a2*a2
 111     assert det!=0, 'test_validation3DWaveSystemUpwindSquaresFV() : Make sure you use distinct meshes and at least two meshes'
 112
 113     b1p=np.dot(error_p_tab,mesh_size_tab)
 114     b2p=np.sum(error_p_tab)
 115     ap=( a3*b1p-a2*b2p)/det
 116     bp=(-a2*b1p+a1*b2p)/det
 117
 118     print("FV on 3D tetrahedral meshes : scheme order for pressure is ", -ap)
 119
 120     b1u=np.dot(error_u_tab,mesh_size_tab)
 121     b2u=np.sum(error_u_tab)
 122     au=( a3*b1u-a2*b2u)/det
 123     bu=(-a2*b1u+a1*b2u)/det
 124
 125     print("FV on 3D tetrahedral meshes : scheme order for velocity is ", -au)
 126
 127     # Plot of convergence curves
 128     plt.close()
 129     plt.plot(mesh_size_tab, error_p_tab, label='|error on stationary pressure|')
 130     plt.legend()
 131     plt.xlabel('number of cells')
 132     plt.ylabel('error p')
 133     plt.title('Convergence of finite volumes for \n the stationary Wave System on 3D tetrahedral meshes')
 134     plt.savefig(mesh_name+"_Pressure_3DWaveSystemUpwind_"+"ConvergenceCurve.png")
 135
 136     plt.close()
 137     plt.plot(mesh_size_tab, error_u_tab, label='|error on stationary velocity|')
 138     plt.legend()
 139     plt.xlabel('number of cells')
 140     plt.ylabel('error p')
 141     plt.title('Convergence of finite volumes for \n the stationary Wave System on 3D tetrahedral meshes')
 142     plt.savefig(mesh_name+"_Velocity_3DWaveSystemUpwind_"+"ConvergenceCurve.png")
 143
 144     # Plot of computational time
 145     plt.close()
 146     plt.plot(mesh_size_tab, time_tab, label='log(cpu time)')
 147     plt.legend()
 148     plt.xlabel('number of cells')
 149     plt.ylabel('cpu time')
 150     plt.title('Computational time of finite volumes \n for the stationary Wave System on 3D tetrahedral meshes')
 151     plt.savefig(mesh_name+"_3DWaveSystemUpwind_"+"_scaling_"+str(scaling)+"_ComputationalTime.png")
 152
 153     plt.close('all')
 154
 155
 156     convergence_synthesis={}
 157
 158     convergence_synthesis["PDE_model"]="Wave system"
 159     convergence_synthesis["PDE_is_stationary"]=False
 160     convergence_synthesis["PDE_search_for_stationary_solution"]=True
 161     convergence_synthesis["Numerical_method_name"]="Upwind"
 162     convergence_synthesis["Numerical_method_space_discretization"]="Finite volumes"
 163     convergence_synthesis["Numerical_method_time_discretization"]="Implicit"
 164     convergence_synthesis["Initial_data"]="Constant pressure, divergence free velocity"
 165     convergence_synthesis["Boundary_conditions"]="Periodic"
 166     convergence_synthesis["Numerical_parameter_cfl"]=cfl
 167     convergence_synthesis["Space_dimension"]=3
 168     convergence_synthesis["Mesh_dimension"]=3
 169     convergence_synthesis["Mesh_names"]=meshList
 170     convergence_synthesis["Mesh_type"]=meshType
 171     #convergence_synthesis["Mesh_path"]=mesh_path
 172     convergence_synthesis["Mesh_description"]=mesh_name
 173     convergence_synthesis["Mesh_sizes"]=mesh_size_tab
 174     convergence_synthesis["Mesh_cell_type"]="Tetrahedra"
 175     convergence_synthesis["Numerical_error_velocity"]=error_u_tab
 176     convergence_synthesis["Numerical_error_pressure"]=error_p_tab
 177     convergence_synthesis["Max_vel_norm"]=max_vel
 178     convergence_synthesis["Final_time"]=t_final
 179     convergence_synthesis["Final_time_step"]=ndt_final
 180     convergence_synthesis["Scheme_order"]=min(-au,-ap)
 181     convergence_synthesis["Scheme_order_vel"]=-au
 182     convergence_synthesis["Scheme_order_press"]=-ap
 183     convergence_synthesis["Scaling_preconditioner"]="None"
 184     convergence_synthesis["Test_color"]=testColor
 185     convergence_synthesis["Computational_time"]=end-start
 186
 187     with open('Convergence_WaveSystem_3DFV_Upwind_'+mesh_name+"_scaling_"+str(scaling)+'.json', 'w') as outfile:
 188         json.dump(convergence_synthesis, outfile)
 189
 190 if __name__ == """__main__""":
 191     if len(sys.argv) >2 :
 192         bctype = sys.argv[1]
 193         scaling = int(sys.argv[2])
 194         test_validation3DWaveSystemUpwindTetrahedra(bctype,scaling)
 195     else :
 196         raise ValueError("test_validation3DWaveSystemUpwindTetrahedra.py expects a mesh file name and a scaling parameter")