Solution to the heat equation in a pump casing model using the finite elment modelling software Elmer. The mesh is intentionally quite coarse for presentation purposes. The equation solved is given by the following elmer input file. Geometery is distributed with elmer as pump_carter_sup.stp
Header
CHECK KEYWORDS Warn
Mesh DB ".""."
Include Path ""
Results Directory ""End
Simulation
Max Output Level =4
Coordinate System = Cartesian
Coordinate Mapping(3)=246
Simulation Type= Steady state
Steady State Max Iterations =1
Output Intervals =1
Timestepping Method = BDF
BDF Order =1
Solver Input File=case.sif
Post File=case.epEndConstants
Gravity(4)=0-109.82
Stefan Boltzmann = 5.67e-08
Permittivity of Vacuum = 8.8542e-12
Boltzmann Constant = 1.3807e-23
Unit Charge = 1.502e-19
End
Body 1Target Bodies(1)=1Name="Body Property 1"
Equation =1
Material =1
Body Force =6End
Solver 1
Equation = Heat Equation
Variable =-dofs 1 Temperature
Procedure="HeatSolve""HeatSolver"
Exec Solver = Always
Stabilize = True
Bubbles = False
Lumped Mass Matrix = False
Optimize Bandwidth = True
Steady State Convergence Tolerance = 1.0e-5
Nonlinear System Convergence Tolerance = 1.0e-8
Nonlinear System Max Iterations =20
Nonlinear System Newton After Iterations =3
Nonlinear System Newton After Tolerance = 1.0e-3
Nonlinear System Relaxation Factor =1
Linear System Solver = Iterative
Linear System Iterative Method = BiCGStab
Linear System Max Iterations =500
Linear System Convergence Tolerance = 1.0e-8
Linear System Preconditioning = ILU0
Linear System ILUT Tolerance = 1.0e-3
Linear System Abort Not Converged = False
Linear System Residual Output =1
Linear System Precondition Recompute =1End
Equation 1Name="Equation 1"
Active Solvers(1)=1End
Material 1Name="Steel (alloy - generic)"
Poisson ratio =0.285
Heat expansion Coefficient = 12.0e-6
Youngs modulus = 200.0e9
Heat Conductivity =37.2
Sound speed =5100.0
Heat Capacity =976.0
Mesh Poisson ratio =0.285
Density =7850.0
Poisson ratio =0.287
Youngs modulus = 200.0e9
End
Body Force 1Name="BodyForce 1"
Heat Source =0.05End
Boundary Condition 1Target Boundaries(1)=57Name="BoundaryCondition 1"
Temperature =293End
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