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smesh/test/SMESH_controls_scaled_jacobian.py
Christophe Bourcier 0dbcca5093 Some improvements on Scaled Jacobian: 
- add math to sphinx to generate the formulas
- change the icon to deformed hexahedrons
- add a test on deformed hexahedrons
- update the example use case on the doc to deformed hexahedrons
2023-08-08 13:35:47 +02:00

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# -*- coding: iso-8859-1 -*-
# Copyright (C) 2016-2023 CEA/DEN, EDF R&D
#
# This library is free software; you can redistribute it and/or
# modify it under the terms of the GNU Lesser General Public
# License as published by the Free Software Foundation; either
# version 2.1 of the License, or (at your option) any later version.
#
# This library 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
# Lesser General Public License for more details.
#
# You should have received a copy of the GNU Lesser General Public
# License along with this library; if not, write to the Free Software
# Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
#
# See http://www.salome-platform.org/ or email : webmaster.salome@opencascade.com
#
# File : SMESH_controls_scaled_jacobian.py
# Author : Cesar Conopoima
# Module : SMESH
#
import salome
import math
salome.salome_init_without_session()
import GEOM
import SMESH
from salome.geom import geomBuilder
from salome.smesh import smeshBuilder
def assertWithDelta( refval, testvals, delta ):
return ( refval <= testvals+delta and refval >= testvals-delta )
geompy = geomBuilder.New()
smesh_builder = smeshBuilder.New()
Box_1 = geompy.MakeBoxDXDYDZ(10, 10, 10)
geompy.addToStudy( Box_1, 'Box_1' )
smesh = smeshBuilder.New()
Mesh_1 = smesh.Mesh(Box_1,'Mesh_1')
NETGEN_1D_2D_3D = Mesh_1.Tetrahedron(algo=smeshBuilder.NETGEN_1D2D3D)
Done = Mesh_1.Compute()
if not Done:
raise Exception("Error when computing NETGEN_1D2D3D Mesh for quality control test")
#For tetra elements
perfect = 1.0
externals = math.sqrt( 2.0 )/2.0
notPerfectElements = smesh.GetFilter(SMESH.VOLUME, SMESH.FT_ScaledJacobian, SMESH.FT_LessThan, perfect - 1e-12 )
perfectElements = smesh.GetFilter(SMESH.VOLUME, SMESH.FT_ScaledJacobian, SMESH.FT_EqualTo, perfect )
externalElements = smesh.GetFilter(SMESH.VOLUME, SMESH.FT_ScaledJacobian, SMESH.FT_EqualTo, externals )
notPerfectIds = Mesh_1.GetIdsFromFilter(notPerfectElements)
perfectIds = Mesh_1.GetIdsFromFilter(perfectElements)
externalsIds = Mesh_1.GetIdsFromFilter(externalElements)
assert( len(notPerfectIds) == 4 )
assert( len(perfectIds) == 1 )
assert( len(externalsIds) == 4 )
# Test GetScaledJacobian by elementId
for id in range(len(perfectIds)):
assert( assertWithDelta( perfect, Mesh_1.GetScaledJacobian( perfectIds[ id ] ), 1e-12) )
for id in range(len(externalsIds)):
assert( assertWithDelta( externals, Mesh_1.GetScaledJacobian( externalsIds[ id ] ), 1e-12) )
#For hexa elements
Mesh_2 = smesh.Mesh(Box_1,'Mesh_2')
Cartesian_3D = Mesh_2.BodyFitted()
Body_Fitting_Parameters_1 = Cartesian_3D.SetGrid([ [ '5.0' ], [ 0, 1 ]],[ [ '5.0' ], [ 0, 1 ]],[ [ '5.0' ], [ 0, 1 ]],4,0)
Done = Mesh_2.Compute()
if not Done:
raise Exception("Error when computing BodyFitted Mesh for quality control test")
notPerfectIds = Mesh_2.GetIdsFromFilter(notPerfectElements)
perfectIds = Mesh_2.GetIdsFromFilter(perfectElements)
assert( len(notPerfectIds) == 0 )
assert( len(perfectIds) == 8 )
# Test GetScaledJacobian by elementId
for id in range(len(perfectIds)):
assert( assertWithDelta( perfect, Mesh_2.GetScaledJacobian( perfectIds[ id ] ), 1e-12) )
#For hexa elements with poor quality
Mesh_3 = smesh.Mesh(Box_1,'Mesh_3')
Cartesian_3D = Mesh_3.BodyFitted()
Body_Fitting_Parameters_1 = Cartesian_3D.SetGrid([ [ '5.0' ], [ 0, 1 ]],[ [ '5.0' ], [ 0, 1 ]],[ [ '5.0' ], [ 0, 1 ]],4,0)
Body_Fitting_Parameters_1.SetAxesDirs( SMESH.DirStruct( SMESH.PointStruct ( 1, 0, 1 )), SMESH.DirStruct( SMESH.PointStruct ( 0, 1, 0 )), SMESH.DirStruct( SMESH.PointStruct ( 0, 0, 1 )) )
Done = Mesh_3.Compute()
if not Done:
raise Exception("Error when computing BodyFitted Distorted Mesh for quality control test")
#Polyhedrons return zero scaled jacobian because of lack for a decomposition into simpler forms
Polys = 0.0
#Hexahedrons that are distorted by an angle of 45
# Scaled Jacobian which is a measure of elements distortion
# will return cos(45) = math.sqrt( 2.0 )/2.0
distorted = math.sqrt( 2.0 )/2.0
polysElements = smesh.GetFilter(SMESH.VOLUME, SMESH.FT_ScaledJacobian, SMESH.FT_EqualTo, Polys )
distortedElements = smesh.GetFilter(SMESH.VOLUME, SMESH.FT_ScaledJacobian, SMESH.FT_EqualTo, distorted )
polysIds = Mesh_3.GetIdsFromFilter(polysElements)
distortedIds = Mesh_3.GetIdsFromFilter(distortedElements)
assert( len(polysIds) == 4 )
assert( len(distortedIds) == 8 )
# Test GetScaledJacobian by elementId
for id in range(len(distortedIds)):
assert( assertWithDelta( distorted, Mesh_3.GetScaledJacobian( distortedIds[ id ] ), 1e-12 ) )
#Test the pentahedron
Mesh_4 = smesh.Mesh(Box_1,'Mesh_4')
Cartesian_3D = Mesh_4.BodyFitted()
Body_Fitting_Parameters_1 = Cartesian_3D.SetGrid([ [ '4' ], [ 0, 1 ]],[ [ '4' ], [ 0, 1 ]],[ [ '4' ], [ 0, 1 ]],4,0)
Body_Fitting_Parameters_1.SetAxesDirs( SMESH.DirStruct( SMESH.PointStruct ( 1, 0, 1 )), SMESH.DirStruct( SMESH.PointStruct ( 0, 1, 0 )), SMESH.DirStruct( SMESH.PointStruct ( 0, 0, 1 )) )
Body_Fitting_Parameters_1.SetSizeThreshold( 4 )
Body_Fitting_Parameters_1.SetToAddEdges( 0 )
Body_Fitting_Parameters_1.SetGridSpacing( [ '2' ], [ 0, 1 ], 0 )
Body_Fitting_Parameters_1.SetGridSpacing( [ '2' ], [ 0, 1 ], 1 )
Body_Fitting_Parameters_1.SetGridSpacing( [ '2' ], [ 0, 1 ], 2 )
Done = Mesh_4.Compute()
if not Done:
raise Exception("Error when computing BodyFitted Distorted Mesh for quality control test")
pentahedrons = 0.6
pentasAndPolys = smesh.GetFilter(SMESH.VOLUME, SMESH.FT_ScaledJacobian, SMESH.FT_LessThan, pentahedrons )
polysIds = Mesh_4.GetIdsFromFilter(polysElements)
pentasAndPolysIds = Mesh_4.GetIdsFromFilter(pentasAndPolys)
assert( len(pentasAndPolysIds) - len(polysIds) == 10 )
#Test distorded hexahedrons scaled jacobian values
Mesh_5 = smesh.Mesh(Box_1,'Mesh_5')
Regular_1D = Mesh_5.Segment()
Number_of_Segments_1 = Regular_1D.NumberOfSegments(2)
Quadrangle_2D = Mesh_5.Quadrangle(algo=smeshBuilder.QUADRANGLE)
Hexa_3D = Mesh_5.Hexahedron(algo=smeshBuilder.Hexa)
isDone = Mesh_5.Compute()
if not Done:
raise Exception("Error when computing hexaedrons Mesh for quality control test")
#move some nodes to make scaled jacobian lesser than 1
node_id_1 = Mesh_5.FindNodeClosestTo(0, 0, 10)
node_id_5 = Mesh_5.FindNodeClosestTo(10, 0, 10)
node_id_14 = Mesh_5.FindNodeClosestTo(10, 5, 10)
node_id_13 = Mesh_5.FindNodeClosestTo(10, 0, 5)
node_id_6 = Mesh_5.FindNodeClosestTo(10, 0, 0)
Mesh_5.MoveNode( node_id_1, 1, 1, 9 )
Mesh_5.MoveNode( node_id_5, 9, 1, 9 )
Mesh_5.MoveNode( node_id_14, 10, 5, 9 )
Mesh_5.MoveNode( node_id_13, 9, 0, 5 )
Mesh_5.MoveNode( node_id_6, 8, 0, 0 )
yellow_element = Mesh_5.FindElementsByPoint(7.5, 2.5, 2.5)[0]
green_element = Mesh_5.FindElementsByPoint(7.5, 2.5, 7.5)[0]
blue_element = Mesh_5.FindElementsByPoint(2.5, 2.5, 7.5)[0]
yellow_SJ = Mesh_5.GetScaledJacobian(yellow_element)
green_SJ = Mesh_5.GetScaledJacobian(green_element)
blue_SJ = Mesh_5.GetScaledJacobian(blue_element)
yellow_SJ_ref = 0.910446300912
green_SJ_ref = 0.818025491961
blue_SJ_ref = 0.654728501099
assert assertWithDelta( yellow_SJ_ref, yellow_SJ, 1e-10 )
assert assertWithDelta( green_SJ_ref, green_SJ, 1e-10 )
assert assertWithDelta( blue_SJ_ref, blue_SJ, 1e-10 )
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