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# ***************************************************************************
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# * Copyright (c) 2023 Uwe Stöhr <uwestoehr@lyx.org> *
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# * *
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# * This file is part of the FreeCAD CAx development system. *
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# * *
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# * This program is free software; you can redistribute it and/or modify *
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# * it under the terms of the GNU Lesser General Public License (LGPL) *
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# * as published by the Free Software Foundation; either version 2 of *
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# * the License, or (at your option) any later version. *
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# * for detail see the LICENCE text file. *
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# * *
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# * This program is distributed in the hope that it will be useful, *
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# * but WITHOUT ANY WARRANTY; without even the implied warranty of *
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# * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
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# * GNU Library General Public License for more details. *
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# * *
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# * You should have received a copy of the GNU Library General Public *
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# * License along with this program; if not, write to the Free Software *
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# * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 *
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# * USA *
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# * *
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# ***************************************************************************
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import sys
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import FreeCAD
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from FreeCAD import Rotation
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from FreeCAD import Vector
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import Fem
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import ObjectsFem
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from BOPTools import SplitFeatures
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from BasicShapes import Shapes
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from . import manager
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from .manager import get_meshname
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from .manager import init_doc
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def get_information():
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return {
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"name": "Magnetic Field Around Wire",
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"meshtype": "solid",
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"meshelement": "Tet10",
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"constraints": ["electrostatic potential", "magnetization"],
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"solvers": ["elmer"],
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"material": "solid",
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"equations": ["magnetodynamic"]
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}
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def get_explanation(header=""):
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return header + """
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To run the example from Python console use:
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from femexamples.equation_magnetodynamics_elmer import setup
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setup()
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Magnetodynamic equation - Elmer solver
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"""
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def setup(doc=None, solvertype="elmer"):
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# init FreeCAD document
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if doc is None:
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doc = init_doc()
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# explanation object
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# just keep the following line and change text string in get_explanation method
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manager.add_explanation_obj(doc, get_explanation(manager.get_header(get_information())))
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# geometric objects
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# wire
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Wire = doc.addObject("Part::Cylinder", "Wire")
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Wire.Radius = "1 mm"
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Wire.Height = "10 mm"
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Wire.ViewObject.Visibility = False
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# air around wire
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Air = Shapes.addTube(doc, "Tube")
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Air.Label = "AirObject"
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Air.OuterRadius = "5 mm"
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Air.InnerRadius = "1 mm"
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Air.Height = "10 mm"
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Air.ViewObject.Visibility = False
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# BooleanFregments object to combine cut with rod
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BooleanFragments = SplitFeatures.makeBooleanFragments(name="BooleanFragments")
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BooleanFragments.Objects = [Wire, Air]
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# set view
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doc.recompute()
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if FreeCAD.GuiUp:
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BooleanFragments.ViewObject.Transparency = 75
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BooleanFragments.ViewObject.Document.activeView().viewAxonometric()
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BooleanFragments.ViewObject.Document.activeView().fitAll()
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# analysis
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analysis = ObjectsFem.makeAnalysis(doc, "Analysis")
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if FreeCAD.GuiUp:
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import FemGui
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FemGui.setActiveAnalysis(analysis)
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# solver
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if solvertype == "elmer":
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solver_obj = ObjectsFem.makeSolverElmer(doc, "SolverElmer")
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eq_electrostatic = ObjectsFem.makeEquationMagnetodynamic(doc, solver_obj)
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eq_electrostatic.AngularFrequency = "100 kHz"
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eq_electrostatic.BiCGstablDegree = 4
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eq_electrostatic.IsHarmonic = True
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eq_electrostatic.LinearIterativeMethod = "BiCGStabl"
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eq_electrostatic.LinearPreconditioning = "None"
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else:
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FreeCAD.Console.PrintWarning(
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"Not known or not supported solver type: {}. "
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"No solver object was created.\n".format(solvertype)
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)
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analysis.addObject(solver_obj)
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# material
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# air around the wire
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material_obj = ObjectsFem.makeMaterialFluid(doc, "Air")
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mat = material_obj.Material
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mat["Name"] = "Air"
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mat["Density"] = "1.204 kg/m^3"
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mat["KinematicViscosity"] = "15.11 mm^2/s"
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mat["VolumetricThermalExpansionCoefficient"] = "0.00 mm/m/K"
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mat["ThermalConductivity"] = "0.02587 W/m/K"
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mat["ThermalExpansionCoefficient"] = "0.00343/K"
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mat["SpecificHeat"] = "1010.00 J/kg/K"
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mat["ElectricalConductivity"] = "1e-12 S/m"
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mat["RelativePermeability"] = "1.0"
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mat["RelativePermittivity"] = "1.00059"
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material_obj.Material = mat
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material_obj.References = [(BooleanFragments, "Solid2")]
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analysis.addObject(material_obj)
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# copper wire
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material_obj = ObjectsFem.makeMaterialSolid(doc, "Copper")
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mat = material_obj.Material
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mat["Name"] = "Copper-Generic"
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mat["Density"] = "8960 kg/m^3"
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mat["PoissonRatio"] = "0.343"
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mat["ShearModulus"] = "46 GPa"
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mat["UltimateTensileStrength"] = "210 MPa"
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mat["YoungsModulus"] = "119 GPa"
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mat["ThermalConductivity"] = "398 W/m/K"
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mat["ThermalExpansionCoefficient"] = "16.5 µm/m/K"
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mat["SpecificHeat"] = "385 J/kg/K"
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mat["ElectricalConductivity"] = "59590000 S/m"
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mat["RelativePermeability"] = "0.999994"
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material_obj.Material = mat
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material_obj.References = [(BooleanFragments, "Solid1")]
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analysis.addObject(material_obj)
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# axial field around the wire
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AxialField = ObjectsFem.makeConstraintElectrostaticPotential(doc, "AxialField")
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AxialField.References = [
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(BooleanFragments, "Face4"),
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(BooleanFragments, "Face5"),
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(BooleanFragments, "Face6")]
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AxialField.PotentialEnabled = False
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AxialField.AV_im_1_Disabled = False
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AxialField.AV_im_2_Disabled = False
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AxialField.AV_re_1_Disabled = False
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AxialField.AV_re_2_Disabled = False
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analysis.addObject(AxialField)
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# voltage on one end
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Voltage = ObjectsFem.makeConstraintElectrostaticPotential(doc, "Voltage")
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Voltage.References = [(BooleanFragments, "Face3")]
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Voltage.Potential = "10.000 mV"
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Voltage.AV_im_1_Disabled = False
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Voltage.AV_im_2_Disabled = False
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Voltage.AV_re_1_Disabled = False
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Voltage.AV_re_2_Disabled = False
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analysis.addObject(Voltage)
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# ground on other end
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Ground = ObjectsFem.makeConstraintElectrostaticPotential(doc, "Ground")
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Ground.References = [(BooleanFragments, "Face2")]
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Ground.Potential = "0 V"
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Ground.AV_im_1_Disabled = False
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Ground.AV_im_2_Disabled = False
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Ground.AV_re_1_Disabled = False
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Ground.AV_re_2_Disabled = False
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analysis.addObject(Ground)
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# magnetization
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Magnetization = ObjectsFem.makeConstraintMagnetization(doc, "Magnetization")
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Magnetization.References = [(BooleanFragments, "Solid1")]
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Magnetization.Magnetization_re_1 = "7500.000 A/m"
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Magnetization.Magnetization_re_2 = "7500.000 A/m"
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Magnetization.Magnetization_re_3 = "7500.000 A/m"
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Magnetization.Magnetization_re_2_Disabled = False
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analysis.addObject(Magnetization)
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# mesh
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femmesh_obj = analysis.addObject(ObjectsFem.makeMeshGmsh(doc, get_meshname()))[0]
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femmesh_obj.Part = BooleanFragments
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femmesh_obj.ElementOrder = "1st"
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femmesh_obj.CharacteristicLengthMax = "0.5 mm"
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femmesh_obj.ViewObject.Visibility = False
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# mesh_region
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mesh_region = ObjectsFem.makeMeshRegion(doc, femmesh_obj, name="MeshRegion")
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mesh_region.CharacteristicLength = "0.15 mm"
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mesh_region.References = [(BooleanFragments, "Solid1")]
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mesh_region.ViewObject.Visibility = False
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# generate the mesh
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from femmesh import gmshtools
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gmsh_mesh = gmshtools.GmshTools(femmesh_obj, analysis)
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try:
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error = gmsh_mesh.create_mesh()
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except Exception:
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error = sys.exc_info()[1]
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FreeCAD.Console.PrintError(
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"Unexpected error when creating mesh: {}\n"
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.format(error)
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)
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if error:
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# try to create from existing rough mesh
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from .meshes.mesh_capacitance_two_balls_tetra10 import create_nodes, create_elements
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fem_mesh = Fem.FemMesh()
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control = create_nodes(fem_mesh)
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if not control:
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FreeCAD.Console.PrintError("Error on creating nodes.\n")
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control = create_elements(fem_mesh)
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if not control:
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FreeCAD.Console.PrintError("Error on creating elements.\n")
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femmesh_obj.FemMesh = fem_mesh
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doc.recompute()
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return doc
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