FEM EquationHeat
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FEM EquationHeat |
Menu location |
---|
Solve → Heat equation |
Workbenches |
FEM |
Default shortcut |
None |
Introduced in version |
0.19 |
See also |
FEM tutorial |
Description
This equation describes the heat transfer in rigid and fluid bodies.
For info about the math of the equation, see the Elmer models manual, section Heat Equation.
Usage
- After adding an Elmer solver as described here, select it in the tree view.
- Now either use the toolbar button or the menu Solve → Heat equation.
- Change the equation's solver settings or the general solver settings if necessary.
Solver Settings
For the general solver settings, see the Elmer solver settings.
The heat equation provides these special settings:
- DataBubbles: There is also a residual-free-bubbles formulation of the stabilized finite-element method. It is more accurate and does not include any ad hoc terms. However, it may be computationally more expensive. If both DataBubbles and Data Stabilize are false, no stabilization is used and then the results might easily be nonsensical.
Equation:
- DataConvection: The type of convection to be used in the heat equation.
- DataPhase Change Model: The model use for phase changes (ice to water etc.). The model Spatial 1 is the apparent-heat-capacity method, Spatial 2 and Temporal are effective-heat-capacity methods.
For more info about the models, see this paper (section 2.5.2.2) (is in German). In the paper it was also shown that Spatial 1 has numerical problems on larger temperature gradients and that Spatial 2 was preferred for the phase change ice to water.
Constraint Information
The elasticity equation takes the following constraints into account if they are set:
Note
For the temperature constraints it is important that they act on a face. Constraints set to lines or vertices are not recognized by the Elmer solver.
Result
The result is the temperature in Kelvin.
FEM
- Materials: Solid, Fluid, Nonlinear mechanical; Material editor
- Element geometry: Beam (1D), Beam rotation (1D), Shell (2D), Fluid flow (1D)
Constraints
- Electrostatic: Potential
- Fluid: Initial velocity, Fluid boundary, Flow velocity
- Mechanical: Fixed, Displacement, Plane rotation, Contact, Transform, Force, Pressure, Self weight, Bearing, Gear, Pulley
- Thermal: Initial temperature, Heat flux, Temperature, Heat source
- Solve: Calculix tools, CalculiX, Elmer, Z88; Equations: Heat, Elasticity, Electrostatic, Flux, Flow; Solver: Solver control, Solver run
- Results: Purge, Show; Postprocessing: Apply changes, Pipeline from result, Warp filter, Scalar clip filter, Function cut filter, Region clip filter, Line clip filter, Stress linearization plot, Data at point clip filter, Create functions
- Utilities: Clipping plane, Remove clipping planes; Mesh clear, Mesh display info
- Additional: Preferences; FEM Install, FEM Mesh, FEM Solver, FEM CalculiX, FEM Concrete; FEM Element Types
User documentation
- Getting started
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