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FEM: examples, added capacitance two balls example
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src/Mod/Fem/femexamples/equation_electrostatics_capacitance_two_balls.py
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# *************************************************************************** | ||
# * Copyright (c) 2020 Sudhanshu Dubey <sudhanshu.thethunder@gmail.com> * | ||
# * * | ||
# * This file is part of the FreeCAD CAx development system. * | ||
# * * | ||
# * This program is free software; you can redistribute it and/or modify * | ||
# * it under the terms of the GNU Lesser General Public License (LGPL) * | ||
# * as published by the Free Software Foundation; either version 2 of * | ||
# * the License, or (at your option) any later version. * | ||
# * for detail see the LICENCE text file. * | ||
# * * | ||
# * This program is distributed in the hope that it will be useful, * | ||
# * but WITHOUT ANY WARRANTY; without even the implied warranty of * | ||
# * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * | ||
# * GNU Library General Public License for more details. * | ||
# * * | ||
# * You should have received a copy of the GNU Library General Public * | ||
# * License along with this program; if not, write to the Free Software * | ||
# * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 * | ||
# * USA * | ||
# * * | ||
# *************************************************************************** | ||
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# to run the example use: | ||
""" | ||
from femexamples.equation_electrostatics_capacitance_two_balls import setup | ||
setup() | ||
""" | ||
# Electrostatics equation in FreeCAD FEM-Elmer | ||
# https://forum.freecadweb.org/viewtopic.php?f=18&t=41488&start=90#p412047 | ||
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import FreeCAD | ||
from FreeCAD import Rotation | ||
from FreeCAD import Vector | ||
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import Fem | ||
import ObjectsFem | ||
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mesh_name = "Mesh" # needs to be Mesh to work with unit tests | ||
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def init_doc(doc=None): | ||
if doc is None: | ||
doc = FreeCAD.newDocument() | ||
return doc | ||
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def get_information(): | ||
info = {"name": "Electrostatics Capacitance Two Balls", | ||
"meshtype": "solid", | ||
"meshelement": "Tet10", | ||
"constraints": ["electrostatic potential"], | ||
"solvers": ["elmer"], | ||
"material": "fluid", | ||
"equation": "electrostatic" | ||
} | ||
return info | ||
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def setup(doc=None, solvertype="elmer"): | ||
# setup base model | ||
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if doc is None: | ||
doc = init_doc() | ||
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# geometry object | ||
# name is important because the other method in this module use obj name | ||
small_sphere1 = doc.addObject("Part::Sphere", "Small_Sphere1") | ||
small_sphere1.Placement = FreeCAD.Placement(Vector(-1000, 0, 0), Rotation(Vector(0, 0, 1), 0)) | ||
small_sphere1.Radius = '500 mm' | ||
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small_sphere2 = doc.addObject("Part::Sphere", "Small_Sphere2") | ||
small_sphere2.Placement = FreeCAD.Placement(Vector(1000, 0, 0), Rotation(Vector(0, 0, 1), 0)) | ||
small_sphere2.Radius = '500 mm' | ||
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fusion = doc.addObject("Part::MultiFuse", "Fusion") | ||
fusion.Shapes = [small_sphere1, small_sphere2] | ||
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large_sphere = doc.addObject("Part::Sphere", "Large_Sphere") | ||
large_sphere.Radius = '5000 mm' | ||
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geom_obj = doc.addObject("Part::Cut", "Cut") | ||
geom_obj.Base = large_sphere | ||
geom_obj.Tool = fusion | ||
doc.recompute() | ||
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if FreeCAD.GuiUp: | ||
geom_obj.ViewObject.Transparency = 75 | ||
geom_obj.ViewObject.Document.activeView().viewAxonometric() | ||
geom_obj.ViewObject.Document.activeView().fitAll() | ||
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# analysis | ||
analysis = ObjectsFem.makeAnalysis(doc, "Analysis") | ||
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# solver | ||
if solvertype == "elmer": | ||
solver_object = analysis.addObject(ObjectsFem.makeSolverElmer(doc, "SolverElmer"))[0] | ||
eq_electrostatic = ObjectsFem.makeEquationElectrostatic(doc, solver_object) | ||
eq_electrostatic.CalculateCapacitanceMatrix = True | ||
eq_electrostatic.CalculateElectricEnergy = True | ||
eq_electrostatic.CalculateElectricField = True | ||
else: | ||
FreeCAD.Console.PrintWarning( | ||
"Not known or not supported solver type: {}. " | ||
"No solver object was created.\n".format(solvertype) | ||
) | ||
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# material | ||
material_object = analysis.addObject( | ||
ObjectsFem.makeMaterialFluid(doc, "FemMaterial") | ||
)[0] | ||
mat = material_object.Material | ||
mat["Name"] = "Air-Generic" | ||
mat["Density"] = "1.20 kg/m^3" | ||
mat["KinematicViscosity"] = "15.11 mm^2/s" | ||
mat["VolumetricThermalExpansionCoefficient"] = "0.00 µm/m/K" | ||
mat["ThermalConductivity"] = "0.03 W/m/K" | ||
mat["ThermalExpansionCoefficient"] = "0.0034/K" | ||
mat["SpecificHeat"] = "1.00 J/kg/K" | ||
mat["RelativePermittivity"] = "1.00" | ||
material_object.Material = mat | ||
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# 1st potential_constraint | ||
constraint_elect_pot0 = analysis.addObject( | ||
ObjectsFem.makeConstraintElectrostaticPotential(doc))[0] | ||
constraint_elect_pot0.References = [(geom_obj, "Face1")] | ||
constraint_elect_pot0.ElectricInfinity = True | ||
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# 2nd potential_constraint | ||
constraint_elect_pot1 = analysis.addObject( | ||
ObjectsFem.makeConstraintElectrostaticPotential(doc))[0] | ||
constraint_elect_pot1.References = [(geom_obj, "Face2")] | ||
constraint_elect_pot1.CapacitanceBody = 1 | ||
constraint_elect_pot1.CapacitanceBodyEnabled = True | ||
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# 3rd potential_constraint | ||
constraint_elect_pot2 = analysis.addObject( | ||
ObjectsFem.makeConstraintElectrostaticPotential(doc))[0] | ||
constraint_elect_pot2.References = [(geom_obj, "Face3")] | ||
constraint_elect_pot2.CapacitanceBody = 2 | ||
constraint_elect_pot2.CapacitanceBodyEnabled = True | ||
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# constant vacuum permittivity | ||
const_vaccum_permittivity = analysis.addObject( | ||
ObjectsFem.makeConstantVacuumPermittivity(doc))[0] | ||
const_vaccum_permittivity.VacuumPermittivity = '1 F/m' | ||
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# mesh | ||
from .meshes.mesh_capacitance_two_balls_tetra10 import create_nodes, create_elements | ||
fem_mesh = Fem.FemMesh() | ||
control = create_nodes(fem_mesh) | ||
if not control: | ||
FreeCAD.Console.PrintError("Error on creating nodes.\n") | ||
control = create_elements(fem_mesh) | ||
if not control: | ||
FreeCAD.Console.PrintError("Error on creating elements.\n") | ||
femmesh_obj = analysis.addObject( | ||
ObjectsFem.makeMeshGmsh(doc, mesh_name) | ||
)[0] | ||
femmesh_obj.FemMesh = fem_mesh | ||
femmesh_obj.Part = geom_obj | ||
femmesh_obj.SecondOrderLinear = False | ||
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# mesh_region | ||
mesh_region = ObjectsFem.makeMeshRegion(doc, femmesh_obj) | ||
mesh_region.CharacteristicLength = '300 mm' | ||
mesh_region.References = [(geom_obj, "Face2"), (geom_obj, "Face3")] | ||
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doc.recompute() | ||
return doc |
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