FEM EquationFlux/ro: Difference between revisions
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{{Docnav|[[FEM_EquationElectrostatic|Equation electrostatic]]|[[FEM_EquationFlow|Equation flow]]|[[FEM_Module|FEM]]|IconL=Fem-equation-electrostatic.svg|IconC=Workbench_FEM.svg|IconR=Fem-equation-flow.svg}} |
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|[[FEM_EquationFlow|Flow equation]] |
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|[[FEM_EquationHeat|Heat equation]] |
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|[[FEM_Workbench|FEM]] |
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|IconL=FEM_EquationFlow.svg |
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|IconR=FEM_EquationHeat.svg |
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}} |
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{{GuiCommand |
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{{GuiCommand|Name=FEM EquationFluxsolver|MenuLocation= Solve → Equation fluxsolver||Workbenches=[[Fem Workbench|FEM]]|Shortcut=|SeeAlso=[[FEM_tutorial|FEM tutorial]]}} |
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|Name=FEM EquationFlux |
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|MenuLocation= Solve → Equation fluxsolver |
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|Workbenches=[[FEM_Workbench|FEM]] |
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|Shortcut= |
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|SeeAlso=[[FEM_tutorial|FEM tutorial]] |
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}} |
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For info about the math of the equation, see the [http://www.elmerfem.org/blog/documentation/ Elmer models manual], section ''Flux Computation''. |
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==Usage== |
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# After adding an Elmer solver as described [[FEM_SolverElmer#Equations|here]], select it in the [[Tree_view|tree view]]. |
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# Either use the toolbar button [[Image:FEM_EquationFlux.svg|24px]] or the menu {{MenuCommand|Solve → Flux equation}}. |
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# Now either add a heat equation (toolbar button [[Image:FEM_EquationHeat.svg|24px]] or menu {{MenuCommand|Solve → [[FEM_EquationHeat|Heat equation]]}}) or an electrostatic equation (toolbar button [[Image:FEM_EquationElectrostatic.svg|24px]] or menu {{MenuCommand|Solve → [[FEM_EquationElectrostatic|Electrostatic equation]]}}). This is important because the flux equation needs the boundary conditions set for these equations. |
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# When using the electrostatic equation, change the property {{PropertyData|Flux Coefficient}} to ''None''. and the property {{PropertyData|Flux Variable}} to ''Potential''. |
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# Change the [[#Solver_Settings|equation's solver settings]] or the [[FEM_SolverElmer_SolverSettings|general solver settings]] if necessary. |
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==Solver Settings== |
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For the general solver settings, see the [[FEM_SolverElmer_SolverSettings|Elmer solver settings]]. |
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The flux equation provides these special settings: |
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* {{PropertyData|Average Within Materials}}: If {{TRUE}}, continuity is enforced within the same material in the discontinuous Galerkin discretization using the penalty terms of the discontinuous Galerkin formulation. |
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* {{PropertyData|Calculate Flux}}: Calculates the flux vector. |
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* {{PropertyData|Calculate Flux Abs}}: Calculates the absolute of the flux vector. Requires that {{PropertyData|Calculate Flux}} is {{TRUE}}. |
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* {{PropertyData|Calculate Flux Magnitude}}: Computes the magnitude of the vector field. Requires that {{PropertyData|Calculate Flux}} is {{TRUE}}.</br>Basically it is the same as {{PropertyData|Calculate Flux Abs}} but this requires less memory because it solves the matrix equation only once. The downside is that negative values may be introduced. |
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* {{PropertyData|Calculate Grad}}: Calculates the gradient of the flux. |
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* {{PropertyData|Calculate Grad Abs}}: Calculates the absolute flux gradient. Requires that {{PropertyData|Calculate Grad}} is {{TRUE}}. |
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* {{PropertyData|Calculate Grad Magnitude}}: Computes the magnitude of the vector field. Requires that {{PropertyData|Calculate Grad}} is {{TRUE}}.</br>Basically it is the same as {{PropertyData|Calculate Grad Abs}} but this requires less memory because it solves the matrix equation only once. The downside is that negative values may be introduced. |
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* {{PropertyData|Discontinuous Galerkin}}: For discontinuous fields the standard Galerkin approximation enforces continuity which may be unphysical. As a remedy for this, set this property to {{TRUE}}. Then the result may be discontinuous and may even be visualized as such. |
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* {{PropertyData|Enforce Positive Magnitude}}: If {{TRUE}}, the negative values of the computed magnitude fields are set to zero. |
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* {{PropertyData|Flux Coefficient}}: Name of the proportionality coefficient to compute the flux. |
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* {{PropertyData|Flux Variable}}: Name of the potential variable used to compute the gradient. |
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==Analysis Feature Information== |
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The flux equation does not have its own boundary conditions. It takes the boundary conditions from the [[Image:FEM_EquationHeat.svg|24px]] [[FEM_EquationHeat|Heat equation]] or the [[Image:FEM_EquationElectrostatic.svg|24px]] [[FEM_EquationElectrostatic|Electrostatic equation]]. |
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==Results== |
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The available results depend on the [[#Solver_Settings|solver settings]]. If none of the {{PropertyData|Calculate *}} settings was set to {{TRUE}}, nothing is calculated. Otherwise the corresponding results will also be available. |
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The resulting flux is either the heat flux in <math>\rm W/m^2</math> (misleadingly named "temperature flux") or the potential flux in <math>\rm W/m^2</math> (<math>\rm A\cdot V/m^2</math>). |
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{{Docnav |
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{{Docnav|[[FEM_EquationElectrostatic|Equation electrostatic]]|[[FEM_EquationFlow|Equation flow]]|[[FEM_Module|FEM]]|IconL=Fem-equation-electrostatic.svg|IconC=Workbench_FEM.svg|IconR=Fem-equation-flow.svg}} |
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|[[FEM_EquationFlow|Flow equation]] |
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|[[FEM_EquationHeat|Heat equation]] |
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|[[FEM_Workbench|FEM]] |
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|IconL=FEM_EquationFlow.svg |
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|IconR=FEM_EquationHeat.svg |
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|IconC=Workbench_FEM.svg |
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}} |
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Latest revision as of 13:22, 24 November 2023
FEM EquationFlux |
Menu location |
---|
Solve → Equation fluxsolver |
Workbenches |
FEM |
Default shortcut |
None |
Introduced in version |
- |
See also |
FEM tutorial |
De completat
For info about the math of the equation, see the Elmer models manual, section Flux Computation.
Usage
- After adding an Elmer solver as described here, select it in the tree view.
- Either use the toolbar button or the menu Solve → Flux equation.
- Now either add a heat equation (toolbar button or menu Solve → Heat equation) or an electrostatic equation (toolbar button or menu Solve → Electrostatic equation). This is important because the flux equation needs the boundary conditions set for these equations.
- When using the electrostatic equation, change the property DateFlux Coefficient to None. and the property DateFlux Variable to Potential.
- 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 flux equation provides these special settings:
- DateAverage Within Materials: If
true
, continuity is enforced within the same material in the discontinuous Galerkin discretization using the penalty terms of the discontinuous Galerkin formulation. - DateCalculate Flux: Calculates the flux vector.
- DateCalculate Flux Abs: Calculates the absolute of the flux vector. Requires that DateCalculate Flux is
true
. - DateCalculate Flux Magnitude: Computes the magnitude of the vector field. Requires that DateCalculate Flux is
true
.
Basically it is the same as DateCalculate Flux Abs but this requires less memory because it solves the matrix equation only once. The downside is that negative values may be introduced. - DateCalculate Grad: Calculates the gradient of the flux.
- DateCalculate Grad Abs: Calculates the absolute flux gradient. Requires that DateCalculate Grad is
true
. - DateCalculate Grad Magnitude: Computes the magnitude of the vector field. Requires that DateCalculate Grad is
true
.
Basically it is the same as DateCalculate Grad Abs but this requires less memory because it solves the matrix equation only once. The downside is that negative values may be introduced. - DateDiscontinuous Galerkin: For discontinuous fields the standard Galerkin approximation enforces continuity which may be unphysical. As a remedy for this, set this property to
true
. Then the result may be discontinuous and may even be visualized as such. - DateEnforce Positive Magnitude: If
true
, the negative values of the computed magnitude fields are set to zero. - DateFlux Coefficient: Name of the proportionality coefficient to compute the flux.
- DateFlux Variable: Name of the potential variable used to compute the gradient.
Analysis Feature Information
The flux equation does not have its own boundary conditions. It takes the boundary conditions from the Heat equation or the Electrostatic equation.
Results
The available results depend on the solver settings. If none of the DateCalculate * settings was set to true
, nothing is calculated. Otherwise the corresponding results will also be available.
The resulting flux is either the heat flux in (misleadingly named "temperature flux") or the potential flux in ().
FEM
- Materials: Solid, Fluid, Nonlinear mechanical, Reinforced (concrete); Material editor
- Element geometry: Beam (1D), Beam rotation (1D), Shell (2D), Fluid flow (1D)
Constraints
- Electromagnetic: Electrostatic potential, Current density, Magnetization
- Geometrical: Plane rotation, Section print, Transform
- Mechanical: Fixed, Displacement, Contact, Tie, Spring, Force, Pressure, Centrif, Self weight
- Thermal: Initial temperature, Heat flux, Temperature, Body heat source
- Overwrite Constants: Constant vacuum permittivity
- Solve: CalculiX Standard, Elmer, Mystran, Z88; Equations: Deformation, Elasticity, Electrostatic, Electricforce, Magnetodynamic, Magnetodynamic 2D, Flow, Flux, Heat; 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, Contours filter, Line clip filter, Stress linearization plot, Data at point clip filter, Filter function plane, Filter function sphere, Filter function cylinder, Filter function box
- Additional: Preferences; FEM Install, FEM Mesh, FEM Solver, FEM CalculiX, FEM Concrete; FEM Element Types
User documentation
- Getting started
- Installation: Download, Windows, Linux, Mac, Additional components, Docker, AppImage, Ubuntu Snap
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