import solverlab
#===============================================================================================================================
-# Name : Finite Elements simulation of the 2D heat equation -\triangle T = f with Neumann boundary condition
+# Name : Simulation of a 2D heat equation
+# Description : Test solving the diffusion of the temperature T in a solid
+# \rho cp dT/dt-\lambda\Delta T=\Phi + \lambda_{sf} (T_{fluid}-T_{solid})
+# Neumann or Dirichlet boundary conditions
+# Finite elements or finite volumes
# Author : Michaël Ndjinga
# Copyright : CEA Saclay 2021
#================================================================================================================================
def DiffusionEquation_2DSpherical(FECalculation, fileName):
""" Description : Test solving the diffusion of the temperature T in a solid (default is Uranium).
- Equation : Thermal diffusion equation \rho cp dT/dt-\lambda\Delta T=\Phi + \lambda_{sf} (T_{fluid}-T)
- Heat capacity, density, and conductivity of the solid MUST be defined
- The solid may be extra refrigerated by a fluid with transfer coefficient using functions setFluidTemperature and setHeatTransfertCoeff
+ Equation : Thermal diffusion equation \rho cp dT/dt-\lambda\Delta T=\Phi + \lambda_{sf} (T_{fluid}-T_{solid})
+ Heat capacity cp, density \rho, and conductivity \lambda of the solid MUST be defined
+ The solid may be refrigerated by a fluid with temperature T_{solid} transfer coefficient \lambda_{sf} using functions setFluidTemperature and setHeatTransfertCoeff
The solid may receive some extra heat power due to nuclear fissions using function setHeatSource
"""
#Space dimension of the problem
supportOfField=solverlab.CELLS
# Set the mesh and initial data
- initial_data_inputfile="../resources/BoxWithMeshWithTriangularCells";
- initial_data_fieldName="Temperature";
+ initial_data_inputfile="../resources/meshSquare";
+ initial_data_fieldName="Solid temperature";
print("Loading unstructured mesh and initial data", " in file ", initial_data_inputfile )
initial_data_time_iteration=0# default value is 0
initial_data_time_sub_iteration=0# default value is 0
#### Optional physical values (default value is zero) : fluid temperature field, heat transfert coefficient, heat power field
# Loading and setting fluid temperature field
- fluid_temperature_inputfile="../resources/BoxWithMeshWithTriangularCells";
- fluid_temperature_fieldName="Fluid temperature field";
+ fluid_temperature_inputfile="../resources/meshSquare";
+ fluid_temperature_fieldName="Fluid temperature";
fluid_temperature_time_iteration=0# default value is 0
fluid_temperature_time_sub_iteration=0# default value is 0
fluid_temperature_meshLevel=0# default value is 0
heatTransfertCoeff=1000.;#fluid/solid exchange coefficient, default value is 0
myProblem.setHeatTransfertCoeff(heatTransfertCoeff);
# Loading heat power field
- heat_power_inputfile="../resources/BoxWithMeshWithTriangularCells";
- heat_power_fieldName="Heat power field";
+ heat_power_inputfile="../resources/meshSquare";
+ heat_power_fieldName="Heat power";
heat_power_time_iteration=0# default value is 0
heat_power_time_sub_iteration=0# default value is 0
heat_power_meshLevel=0# default value is 0
# the boundary conditions :
if( FECalculation):
- boundaryNodeGroupNames=myProblem.getMesh().getNameOfNodeGroups()
- print(len(boundaryNodeGroupNames), " Boundary Node Group detected : ", boundaryNodeGroupNames)
+ boundaryGroupNames=myProblem.getMesh().getNameOfNodeGroups()
+ print(len(boundaryGroupNames), " Boundary Node Group detected : ", boundaryGroupNames)
else:
- boundaryFaceGroupNames=myProblem.getMesh().getNameOfFaceGroups()
- print(len(boundaryFaceGroupNames), " Boundary Face Group detected : ", boundaryFaceGroupNames)
-
- myProblem.setNeumannBoundaryCondition("GAUCHE");
- myProblem.setNeumannBoundaryCondition("DROITE");
- myProblem.setNeumannBoundaryCondition("HAUT");
- myProblem.setNeumannBoundaryCondition("BAS");
+ boundaryGroupNames=myProblem.getMesh().getNameOfFaceGroups()
+ print(len(boundaryGroupNames), " Boundary Face Group detected : ", boundaryGroupNames)
+
+ # for each boundary we load the boundary field (replace by a loop over the boundaries)
+ boundary1_type=solverlab.NeumannDiffusion
+ boundary1_inputfile="../resources/meshSquare";
+ boundary1_fieldName="Left temperature";
+ boundary1_time_iteration=0# default value is 0
+ boundary1_time_sub_iteration=0# default value is 0
+ boundary1_meshLevel=0# default value is 0
+ print("Boundary ", boundaryGroupNames[3], ", loading field :", boundary1_fieldName, " in file ", boundary1_inputfile)
+ boundary1Field=solverlab.Field(boundary1_inputfile, supportOfField, boundary1_fieldName, boundary1_time_iteration, boundary1_time_sub_iteration, boundary1_meshLevel)
+ boundary2_type=solverlab.DirichletDiffusion
+ boundary2_inputfile="../resources/meshSquare";
+ boundary2_fieldName="Right temperature";
+ boundary2_time_iteration=0# default value is 0
+ boundary2_time_sub_iteration=0# default value is 0
+ boundary2_meshLevel=0# default value is 0
+ print("Boundary ", boundaryGroupNames[2], ", loading field :", boundary2_fieldName, " in file ", boundary2_inputfile)
+ boundary2Field=solverlab.Field(boundary2_inputfile, supportOfField, boundary2_fieldName, boundary2_time_iteration, boundary2_time_sub_iteration, boundary2_meshLevel)
+ boundary3_type=solverlab.NeumannDiffusion
+ boundary3_inputfile="../resources/meshSquare";
+ boundary3_fieldName="Top temperature";
+ boundary3_time_iteration=0# default value is 0
+ boundary3_time_sub_iteration=0# default value is 0
+ boundary3_meshLevel=0# default value is 0
+ print("Boundary ", boundaryGroupNames[4], ", loading field :", boundary3_fieldName, " in file ", boundary3_inputfile)
+ boundary3Field=solverlab.Field(boundary3_inputfile, supportOfField, boundary3_fieldName, boundary3_time_iteration, boundary3_time_sub_iteration, boundary3_meshLevel)
+ boundary4_type=solverlab.DirichletDiffusion
+ boundary4_inputfile="../resources/meshSquare";
+ boundary4_fieldName="Bottom temperature";
+ boundary4_time_iteration=0# default value is 0
+ boundary4_time_sub_iteration=0# default value is 0
+ boundary4_meshLevel=0# default value is 0
+ print("Boundary ", boundaryGroupNames[1], ", loading field :", boundary4_fieldName, " in file ", boundary4_inputfile)
+ boundary4Field=solverlab.Field(boundary4_inputfile, supportOfField, boundary4_fieldName, boundary4_time_iteration, boundary4_time_sub_iteration, boundary4_meshLevel)
+
+ # for each boundary we need to know if we want a Neumann or a Dirichlet boundary condition
+ if boundary1_type==solverlab.NeumannDiffusion :
+ myProblem.setNeumannBoundaryCondition("Left", boundary1Field)
+ elif boundary1_type==solverlab.DirichletDiffusion :
+ myProblem.setDirichletBoundaryCondition("Left", boundary1Field)
+ if boundary2_type==solverlab.NeumannDiffusion :
+ myProblem.setNeumannBoundaryCondition("Right", boundary2Field)
+ elif boundary2_type==solverlab.DirichletDiffusion :
+ myProblem.setDirichletBoundaryCondition("Right", boundary2Field)
+ if boundary3_type==solverlab.NeumannDiffusion :
+ myProblem.setNeumannBoundaryCondition("Top", boundary3Field)
+ elif boundary3_type==solverlab.DirichletDiffusion :
+ myProblem.setDirichletBoundaryCondition("Top", boundary3Field);
+ if boundary4_type==solverlab.NeumannDiffusion :
+ myProblem.setNeumannBoundaryCondition("Bottom", boundary4Field)
+ elif boundary4_type==solverlab.DirichletDiffusion :
+ myProblem.setDirichletBoundaryCondition("Bottom", boundary4Field);
# set the numerical method
- myProblem.setTimeScheme( solverlab.Explicit);
+ myProblem.setTimeScheme( solverlab.Explicit)# Otherwise solverlab.Implicit
max_nb_its_lin_solver = 50
myProblem.setLinearSolver(solverlab.GMRES, solverlab.ILU, max_nb_its_lin_solver );
