FEM EquationElectrostatic/de: Difference between revisions
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<languages/> |
<languages/> |
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{{UnfinishedDocu{{#translation:}}}} |
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{{Docnav |
{{Docnav/de |
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|[[FEM_EquationDeformation/de|Verformungsgleichung]] |
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|[[FEM_EquationElectricforce| |
|[[FEM_EquationElectricforce/de|GleichungElektrischeKraft]] |
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|[[FEM_EquationFlow|Flow equation]] |
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|[[FEM_Workbench|FEM]] |
|[[FEM_Workbench/de|FEM]] |
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|IconL= |
|IconL=FEM_EquationDeformation.svg |
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|IconR= |
|IconR=FEM_EquationElectricforce.svg |
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|IconC=Workbench_FEM.svg |
|IconC=Workbench_FEM.svg |
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}} |
}} |
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{{GuiCommand |
{{GuiCommand/de |
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|Name=FEM EquationElectrostatic |
|Name=FEM EquationElectrostatic |
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|Name/de=FEM GleichungElektrostatik |
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|MenuLocation= |
|MenuLocation=Lösen → Electromagnetic Equations → Electrostatic equation |
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|Workbenches=[[FEM_Workbench|FEM]] |
|Workbenches=[[FEM_Workbench/de|FEM]] |
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|Version=0.19 |
|Version=0.19 |
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|SeeAlso=[[FEM_EquationElectricforce| |
|SeeAlso=[[FEM_EquationElectricforce/de|FEM GleichungElektrischeKraft]], [[FEM_Example_Capacitance_Two_Balls/de|FEM Beispiel Kapazität Zweier Kugeln]] |
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}} |
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This equation |
This equation performs electrostatic analyses using [https://en.wikipedia.org/wiki/Gauss%27s_law Gauss' law]. |
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For info about the math of the equation, see the [http://www.elmerfem.org/blog/documentation/ Elmer models manual], section ''Electrostatics''. |
For info about the math of the equation, see the [http://www.elmerfem.org/blog/documentation/ Elmer models manual], section ''Electrostatics''. |
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<span id="Usage"></span> |
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==Anwendung== |
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# After adding an Elmer solver as described [[FEM_SolverElmer#Equations|here]], select it in the [[Tree_view|tree view]]. |
# After adding an Elmer solver as described [[FEM_SolverElmer#Equations|here]], select it in the [[Tree_view|tree view]]. |
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# Now either use the toolbar button [[Image:FEM_EquationElectrostatic.svg|24px]] or the menu {{MenuCommand|Solve → Electrostatic equation}}. |
# Now either use the toolbar button [[Image:FEM_EquationElectrostatic.svg|24px]] or the menu {{MenuCommand|Solve → Electromagnetic Equations → Electrostatic equation}}. |
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# Change the [[#Solver_Settings|equation's solver settings]] or the [[FEM_SolverElmer_SolverSettings|general solver settings]] if necessary. |
# Change the [[#Solver_Settings|equation's solver settings]] or the [[FEM_SolverElmer_SolverSettings|general solver settings]] if necessary. |
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The electrostatic equation provides these special settings: |
The electrostatic equation provides these special settings: |
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* {{PropertyData|Calculate Capacitance Matrix}}: Calculates the capacitance matrix. The matrix contains the point charges of the mesh knots. |
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* {{PropertyData|Calculate Electric Energy}}: Calculates the [https://en.wikipedia.org/wiki/Electric_potential_energy electric potential energy]. |
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* {{PropertyData|Calculate Electric Field}}: Calculates the [https://en.wikipedia.org/wiki/Electric_field electric field]. |
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* {{PropertyData|Calculate Electric Flux}}: Calculates the [https://en.wikipedia.org/wiki/Electric_flux electric flux]. |
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* {{PropertyData|Calculate Surface Charge}}: Calculates the [https://en.wikipedia.org/wiki/Surface_charge surface charge]. |
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* {{PropertyData|Capacitance Matrix Filename}}: File in which the capacitance matrix is being saved. It is only used if {{PropertyData|Calculate Capacitance Matrix}} is set to ''true''. |
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* {{PropertyData|Constant Weights}}: If constant weighting for results is used. |
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* {{PropertyData|Potential Difference}}: Potential difference in Volt for which the capacitance is calculated. It is only used if {{PropertyData|Calculate Capacitance Matrix}} is set to ''false''. Therefore in fact this setting specifies the voltage between the electrodes of a simple capacitor. Note that the given voltage has to be consistent with the potentials defined in the boundary conditions. |
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==Analysis Feature Information== |
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The electrostatic equation takes the following analysis features into account if they are set: |
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* [[Image:FEM_ConstraintElectrostaticPotential.svg|24px]] [[FEM_ConstraintElectrostaticPotential|Electrostatic potential boundary condition]] |
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|[[FEM_EquationFlow|Flow equation]] |
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* [[Image:FEM_ConstantVacuumPermittivity.svg|24px]] [[FEM_ConstantVacuumPermittivity|Constant vacuum permittivity]] |
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===Note=== |
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|IconR=FEM_EquationFlow.svg |
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Except for calculations in 2D, for [[Image:FEM_ConstraintElectrostaticPotential.svg|24px]] [[FEM_ConstraintElectrostaticPotential|electrostatic potential boundary conditions]] it is important that they act on a face or body. Boundary conditions in 3D set to lines or vertices are not recognized by the Elmer solver. |
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<span id="Results"></span> |
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==Ergebnisse== |
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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'', only the electric force density and the electric potential are calculated. Otherwise also the corresponding results will be available. |
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The possible results are: |
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* Electric energy density in <math>\rm J/m^3</math> |
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* Electric field in <math>\rm V/m</math> |
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* Electric flux in <math>\rm A\cdot s/m^2</math> |
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* Electric force density in <math>\rm N/m^2</math> |
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* Potential in <math>\rm V</math> |
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* Potential loads in <math>\rm C</math> |
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|[[FEM_EquationDeformation/de|Verformungsgleichung]] |
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|IconL=FEM_EquationDeformation.svg |
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|IconC=Workbench_FEM.svg |
|IconC=Workbench_FEM.svg |
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}} |
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{{clear}} |
Latest revision as of 13:22, 24 November 2023
FEM GleichungElektrostatik |
Menüeintrag |
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Lösen → Electromagnetic Equations → Electrostatic equation |
Arbeitsbereich |
FEM |
Standardtastenkürzel |
Keiner |
Eingeführt in Version |
0.19 |
Siehe auch |
FEM GleichungElektrischeKraft, FEM Beispiel Kapazität Zweier Kugeln |
This equation performs electrostatic analyses using Gauss' law.
For info about the math of the equation, see the Elmer models manual, section Electrostatics.
Anwendung
- After adding an Elmer solver as described here, select it in the tree view.
- Now either use the toolbar button or the menu Solve → Electromagnetic Equations → Electrostatic 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 electrostatic equation provides these special settings:
- DatenCalculate Capacitance Matrix: Calculates the capacitance matrix. The matrix contains the point charges of the mesh knots.
- DatenCalculate Electric Energy: Calculates the electric potential energy.
- DatenCalculate Electric Field: Calculates the electric field.
- DatenCalculate Electric Flux: Calculates the electric flux.
- DatenCalculate Surface Charge: Calculates the surface charge.
- DatenCapacitance Matrix Filename: File in which the capacitance matrix is being saved. It is only used if DatenCalculate Capacitance Matrix is set to true.
- DatenConstant Weights: If constant weighting for results is used.
- DatenPotential Difference: Potential difference in Volt for which the capacitance is calculated. It is only used if DatenCalculate Capacitance Matrix is set to false. Therefore in fact this setting specifies the voltage between the electrodes of a simple capacitor. Note that the given voltage has to be consistent with the potentials defined in the boundary conditions.
Analysis Feature Information
The electrostatic equation takes the following analysis features into account if they are set:
Note
Except for calculations in 2D, for electrostatic potential boundary conditions it is important that they act on a face or body. Boundary conditions in 3D set to lines or vertices are not recognized by the Elmer solver.
Ergebnisse
The available results depend on the solver settings. If none of the DatenCalculate * settings was set to true, only the electric force density and the electric potential are calculated. Otherwise also the corresponding results will be available.
The possible results are:
- Electric energy density in
- Electric field in
- Electric flux in
- Electric force density in
- Potential in
- Potential loads in
- 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
- Erste Schritte
- Installation: Herunterladen, Windows, Linux, Mac, Zusätzlicher Komponenten, Docker, AppImage, Ubuntu Snap
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