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File:Elmer-pump-heatequation.png

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Summary[edit]

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) = 2 4 6
  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.ep
End

Constants
  Gravity(4) = 0 -1 0 9.82
  Stefan Boltzmann = 5.67e-08
  Permittivity of Vacuum = 8.8542e-12
  Boltzmann Constant = 1.3807e-23
  Unit Charge = 1.502e-19
End

Body 1
  Target Bodies(1) = 1
  Name = "Body Property 1"
  Equation = 1
  Material = 1
  Body Force = 6
End

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 = 1
End

Equation 1
  Name = "Equation 1"
  Active Solvers(1) = 1
End

Material 1
  Name = "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 1
  Name = "BodyForce 1"
  Heat Source = 0.05
End

Boundary Condition 1
  Target Boundaries(1) = 57
  Name = "BoundaryCondition 1"
  Temperature = 293
End

Licensing[edit]

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GNU head Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License.
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File history

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Date/TimeThumbnailDimensionsUserComment
current18:39, 2 June 2010Thumbnail for version as of 18:39, 2 June 20101,200 × 939 (536 KB)User A1Crop white border
18:20, 2 June 2010Thumbnail for version as of 18:20, 2 June 20101,674 × 941 (556 KB)User A1Solution to the heat equation in a pump casing model using the finite elment modelling software Elmer.

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