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<h1>Defining Hypotheses and Algorithms</h1>
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<h3>Defining 1D Hypotheses</h3>
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<p class="whs1"><a name=bookmark>1D Arithmetic</a></p>
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<p> </p>
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<p class="whs2"><span style="font-family: 'Lucida Console', monospace;">import
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geompy</span></p>
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<p class="whs2">import smesh</p>
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<p class="whs2"> </p>
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<p class="whs3"># create a box</p>
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<p class="whs2">box = geompy.MakeBoxDXDYDZ(10.,
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10., 10.)</p>
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<p class="whs2">geompy.addToStudy(box,
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"Box")</p>
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<p class="whs2"> </p>
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<p class="whs3"># create a hexahedral
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mesh on the box</p>
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<p class="whs2">hexa = smesh.Mesh(box,
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"Box : hexahedrical mesh")</p>
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<p class="whs2"> </p>
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<p class="whs3"># create a Regular 1D
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algorithm for edges</p>
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<p class="whs2">algo1D = hexa.Segment()</p>
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<p class="whs2"> </p>
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<p class="whs3"># define "Arithmetic1D"
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hypothesis to cut all edges in several segments with increasing arithmetic
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length </p>
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<p class="whs2">algo1D.Arithmetic1D(1,
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4)</p>
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<p class="whs2"> </p>
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<p class="whs3"># create a quadrangle
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2D algorithm for faces</p>
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<p class="whs2">hexa.Quadrangle()</p>
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<p class="whs2"> </p>
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<p class="whs3"># create a hexahedron
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3D algorithm for solids</p>
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<p class="whs2">hexa.Hexahedron()</p>
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<p class="whs2"> </p>
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<p class="whs3"># compute the mesh</p>
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<p class="whs2">hexa.Compute() </p>
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<p class="whs2"> </p>
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<h4><a name=bookmark9>Deflection 1D and Number of Segments</a></h4>
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<p class="whs2"><span style="font-family: 'Lucida Console', monospace;">import
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geompy</span></p>
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<p class="whs2">import smesh</p>
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<p class="whs2"> </p>
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<p class="whs3"># create a face from
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arc and straight segment</p>
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<p class="whs2">px = geompy.MakeVertex(100.,
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0. , 0.
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)</p>
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<p class="whs2">py = geompy.MakeVertex(0.
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, 100.,
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0. )</p>
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<p class="whs2">pz = geompy.MakeVertex(0.
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, 0. ,
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100.)</p>
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<p class="whs2"> </p>
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<p class="whs2">exy = geompy.MakeEdge(px,
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py)</p>
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<p class="whs2">arc = geompy.MakeArc(py,
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pz, px)</p>
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<p class="whs2"> </p>
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<p class="whs2">wire = geompy.MakeWire([exy,
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arc])</p>
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<p class="whs2"> </p>
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<p class="whs2">isPlanarFace = 1</p>
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<p class="whs2">face1 = geompy.MakeFace(wire,
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isPlanarFace)</p>
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<p class="whs2">geompy.addToStudy(face1,"Face1")</p>
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<p class="whs2"> </p>
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<p class="whs3"># get edges from the
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face</p>
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<p class="whs2">e_straight,e_arc =
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geompy.SubShapeAll(face1, geompy.ShapeType["EDGE"])</p>
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<p class="whs2">geompy.addToStudyInFather(face1,
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e_arc, "Arc Edge")</p>
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<p class="whs2"> </p>
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<p class="whs3"># create hexahedral mesh</p>
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<p class="whs2">hexa = smesh.Mesh(face1,
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"Face : triangle mesh")</p>
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<p class="whs2"> </p>
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<p class="whs3"># define "NumberOfSegments"
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hypothesis to cut a straight edge in a fixed number of segments</p>
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<p class="whs2">algo1D = hexa.Segment()</p>
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<p class="whs2">algo1D.NumberOfSegments(6)</p>
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<p class="whs2"> </p>
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<p class="whs3"># define "MaxElementArea"
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hypothesis</p>
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<p class="whs2">algo2D = hexa.Triangle()</p>
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<p class="whs2">algo2D.MaxElementArea(70.0)</p>
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<p class="whs2"> </p>
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<p class="whs3"># define a local "Deflection1D"
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hypothesis on the arc</p>
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<p class="whs2">algo_local = hexa.Segment(e_arc)</p>
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<p class="whs2">algo_local.Deflection1D(1.0)</p>
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<p class="whs2"> </p>
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<p class="whs3"># compute the mesh</p>
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<p class="whs2">hexa.Compute() </p>
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<h4><a name=bookmark2>Start and End Length</a></h4>
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<p class="whs2"><span style="font-family: 'Lucida Console', monospace;">from
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geompy import *</span></p>
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<p class="whs2">import smesh</p>
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<p class="whs2"> </p>
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<p class="whs3"># create a box</p>
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<p class="whs2">box = MakeBoxDXDYDZ(10.,
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10., 10.)</p>
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<p class="whs2">addToStudy(box, "Box")</p>
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<p class="whs2"> </p>
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<p class="whs3"># get one edge of the
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box to put local hypothesis on</p>
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<p class="whs2">p5 = MakeVertex(5.,
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0., 0.)</p>
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<p class="whs2">EdgeX = GetEdgeNearPoint(box,
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p5)</p>
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<p class="whs2">addToStudyInFather(box,
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EdgeX, "Edge [0,0,0 - 10,0,0]")</p>
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<p class="whs2"> </p>
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<p class="whs3"># create a hexahedral
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mesh on the box</p>
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<p class="whs2">hexa = smesh.Mesh(box,
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"Box : hexahedrical mesh")</p>
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<p class="whs2"> </p>
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<p class="whs3"># set algorithms</p>
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<p class="whs2">algo1D = hexa.Segment()</p>
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<p class="whs2">hexa.Quadrangle()</p>
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<p class="whs2">hexa.Hexahedron()</p>
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<p class="whs2"> </p>
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<p class="whs3"># define "NumberOfSegments"
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hypothesis to cut an edge in a fixed number of segments</p>
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<p class="whs2">algo1D.NumberOfSegments(4)</p>
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<p class="whs2"> </p>
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<p class="whs3"># create a local hypothesis</p>
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<p class="whs2">algo_local = hexa.Segment(EdgeX)</p>
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<p class="whs2"> </p>
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<p class="whs3"># define "StartEndLength"
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hypothesis to cut an edge in several segments with increasing geometric
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length</p>
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<p class="whs2">algo_local.StartEndLength(1,
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6)</p>
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<p class="whs2"> </p>
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<p class="whs3"># define "Propagation"
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hypothesis that propagates all other hypothesis</p>
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<p class="whs3"># on all edges on the
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opposite side in case of quadrangular faces</p>
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<p class="whs2">algo_local.Propagation()</p>
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<p class="whs2"> </p>
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<p class="whs3"># compute the mesh</p>
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<p class="whs2">hexa.Compute() </p>
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<h4><a name=bookmark3>Average Length</a></h4>
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<p class="whs2"><span style="font-family: 'Lucida Console', monospace;">from
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geompy import *</span></p>
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<p class="whs2">import smesh</p>
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<p class="whs2"> </p>
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<p class="whs3"># create a box</p>
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<p class="whs2">box = MakeBoxDXDYDZ(10.,
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10., 10.)</p>
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<p class="whs2">addToStudy(box, "Box")</p>
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<p class="whs2"> </p>
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<p class="whs3"># get one edge of the
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box to put local hypothesis on</p>
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<p class="whs2">p5 = MakeVertex(5.,
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0., 0.)</p>
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<p class="whs2">EdgeX = GetEdgeNearPoint(box,
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p5)</p>
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<p class="whs2">addToStudyInFather(box,
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EdgeX, "Edge [0,0,0 - 10,0,0]")</p>
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<p class="whs2"> </p>
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<p class="whs3"># create a hexahedral
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mesh on the box</p>
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<p class="whs2">hexa = smesh.Mesh(box,
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"Box : hexahedrical mesh")</p>
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<p class="whs2"> </p>
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<p class="whs3"># set algorithms</p>
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<p class="whs2">algo1D = hexa.Segment()</p>
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<p class="whs2">hexa.Quadrangle()</p>
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<p class="whs2">hexa.Hexahedron()</p>
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<p class="whs2"> </p>
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<p class="whs3"># define "NumberOfSegments"
|
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hypothesis to cut all edges in a fixed number of segments</p>
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<p class="whs2">algo1D.NumberOfSegments(4)</p>
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<p class="whs2"> </p>
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<p class="whs3"># create a sub-mesh</p>
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<p class="whs2">algo_local = hexa.Segment(EdgeX)</p>
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<p class="whs2"> </p>
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<p class="whs3"># define "LocalLength"
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hypothesis to cut an edge in several segments with the same length</p>
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<p class="whs2">algo_local.LocalLength(2.)</p>
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<p class="whs2"> </p>
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<p class="whs3"># define "Propagation"
|
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|
|
|
hypothesis that propagates all other hypothesis</p>
|
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|
<p class="whs3"># on all edges on the
|
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opposite side in case of quadrangular faces</p>
|
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<p class="whs2">algo_local.Propagation()</p>
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<p class="whs2"> </p>
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<p class="whs3"># compute the mesh</p>
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<p class="whs2">hexa.Compute() </p>
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|
<h3>Defining 2D and 3D hypotheses</h3>
|
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<h4><a name=bookmark4>Maximum Element Area</a></h4>
|
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<p class="whs4"><span style="font-family: 'Lucida Console', monospace;">import
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geompy</span></p>
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<p class="whs4">import smesh</p>
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<p class="whs4">import salome </p>
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<p class="whs4"> </p>
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<p class="whs5"># create a face</p>
|
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<p class="whs4">px =
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geompy.MakeVertex(100., 0. ,
|
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0. )</p>
|
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<p class="whs4">py =
|
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geompy.MakeVertex(0. ,
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100., 0. )</p>
|
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<p class="whs4">pz =
|
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geompy.MakeVertex(0. ,
|
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0. , 100.)</p>
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<p class="whs4"> </p>
|
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<p class="whs4">vxy = geompy.MakeVector(px,
|
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py)</p>
|
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<p class="whs4">arc = geompy.MakeArc(py,
|
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|
|
pz, px)</p>
|
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|
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<p class="whs4">wire = geompy.MakeWire([vxy,
|
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|
|
arc])</p>
|
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<p class="whs4"> </p>
|
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|
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|
|
<p class="whs4">isPlanarFace = 1</p>
|
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|
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<p class="whs4">face = geompy.MakeFace(wire,
|
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|
|
isPlanarFace)</p>
|
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<p class="whs4"> </p>
|
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|
|
|
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|
|
<p class="whs5"># add the face in the
|
|
|
|
|
study</p>
|
|
|
|
|
|
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|
|
<p class="whs4">id_face = geompy.addToStudy(face,
|
|
|
|
|
"Face to be meshed")</p>
|
|
|
|
|
|
|
|
|
|
<p class="whs4"> </p>
|
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|
|
|
|
|
|
|
|
<p class="whs5"># create a mesh</p>
|
|
|
|
|
|
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|
|
<p class="whs4">tria_mesh = smesh.Mesh(face,
|
|
|
|
|
"Face : triangulation")</p>
|
|
|
|
|
|
|
|
|
|
<p class="whs4"> </p>
|
|
|
|
|
|
|
|
|
|
<p class="whs5"># define 1D meshing:</p>
|
|
|
|
|
|
|
|
|
|
<p class="whs4">algo = tria_mesh.Segment()</p>
|
|
|
|
|
|
|
|
|
|
<p class="whs4">algo.NumberOfSegments(20)</p>
|
|
|
|
|
|
|
|
|
|
<p class="whs4"> </p>
|
|
|
|
|
|
|
|
|
|
<p class="whs5"># define 2D meshing:</p>
|
|
|
|
|
|
|
|
|
|
<p class="whs5"> </p>
|
|
|
|
|
|
|
|
|
|
<p class="whs5"># assign triangulation
|
|
|
|
|
algorithm</p>
|
|
|
|
|
|
|
|
|
|
<p class="whs4">algo = tria_mesh.Triangle()</p>
|
|
|
|
|
|
|
|
|
|
<p class="whs4"> </p>
|
|
|
|
|
|
|
|
|
|
<p class="whs5"># apply "Max Element
|
|
|
|
|
Area" hypothesis to each triangle</p>
|
|
|
|
|
|
|
|
|
|
<p class="whs4">algo.MaxElementArea(100)</p>
|
|
|
|
|
|
|
|
|
|
<p class="whs4"> </p>
|
|
|
|
|
|
|
|
|
|
<p class="whs5"># compute the mesh</p>
|
|
|
|
|
|
|
|
|
|
<p class="whs4">tria_mesh.Compute()
|
|
|
|
|
</p>
|
|
|
|
|
|
|
|
|
|
<p class="whs4"> </p>
|
|
|
|
|
|
|
|
|
|
<h4><a name=bookmark5>Maximum Element Volume</a></h4>
|
|
|
|
|
|
|
|
|
|
<p class="whs4"><span style="font-family: 'Lucida Console', monospace;">import
|
|
|
|
|
geompy</span></p>
|
|
|
|
|
|
|
|
|
|
<p class="whs4">import smesh</p>
|
|
|
|
|
|
|
|
|
|
<p class="whs4"> </p>
|
|
|
|
|
|
|
|
|
|
<p class="whs5"># create a cylinder</p>
|
|
|
|
|
|
|
|
|
|
<p class="whs4">cyl = geompy.MakeCylinderRH(30.,
|
|
|
|
|
50.)</p>
|
|
|
|
|
|
|
|
|
|
<p class="whs4">geompy.addToStudy(cyl,
|
|
|
|
|
"cyl")</p>
|
|
|
|
|
|
|
|
|
|
<p class="whs4"> </p>
|
|
|
|
|
|
|
|
|
|
<p class="whs5"># create a mesh on
|
|
|
|
|
the cylinder</p>
|
|
|
|
|
|
|
|
|
|
<p class="whs4">tetra = smesh.Mesh(cyl,
|
|
|
|
|
"Cylinder : tetrahedrical mesh")</p>
|
|
|
|
|
|
|
|
|
|
<p class="whs4"> </p>
|
|
|
|
|
|
|
|
|
|
<p class="whs5"># assign algorithms</p>
|
|
|
|
|
|
|
|
|
|
<p class="whs4">algo1D = tetra.Segment()</p>
|
|
|
|
|
|
|
|
|
|
<p class="whs4">algo2D = tetra.Triangle()</p>
|
|
|
|
|
|
|
|
|
|
<p class="whs4">algo3D = tetra.Tetrahedron(smesh.NETGEN)</p>
|
|
|
|
|
|
|
|
|
|
<p class="whs4"> </p>
|
|
|
|
|
|
|
|
|
|
<p class="whs5"># assign 1D and 2D
|
|
|
|
|
hypotheses</p>
|
|
|
|
|
|
|
|
|
|
<p class="whs4">algo1D.NumberOfSegments(7)</p>
|
|
|
|
|
|
|
|
|
|
<p class="whs4">algo2D.MaxElementArea(150.)</p>
|
|
|
|
|
|
|
|
|
|
<p class="whs4"> </p>
|
|
|
|
|
|
|
|
|
|
<p class="whs5"># assign Max Element
|
|
|
|
|
Volume hypothesis</p>
|
|
|
|
|
|
|
|
|
|
<p class="whs4">algo3D.MaxElementVolume(200.)</p>
|
|
|
|
|
|
|
|
|
|
<p class="whs4"> </p>
|
|
|
|
|
|
|
|
|
|
<p class="whs5"># compute the mesh</p>
|
|
|
|
|
|
|
|
|
|
<p class="whs4">ret = tetra.Compute()</p>
|
|
|
|
|
|
|
|
|
|
<p class="whs4">if ret == 0:</p>
|
|
|
|
|
|
|
|
|
|
<p class="whs4"> print
|
|
|
|
|
"probleme when computing the mesh"</p>
|
|
|
|
|
|
|
|
|
|
<p class="whs4">else:</p>
|
|
|
|
|
|
|
|
|
|
<p class="whs4"> print
|
|
|
|
|
"Computation succeded" </p>
|
|
|
|
|
|
|
|
|
|
<h4><a name=bookmark6>Length from Edges</a></h4>
|
|
|
|
|
|
|
|
|
|
<p class="whs2"><span style="font-family: 'Lucida Console', monospace;">import
|
|
|
|
|
geompy</span></p>
|
|
|
|
|
|
|
|
|
|
<p class="whs2">import smesh</p>
|
|
|
|
|
|
|
|
|
|
<p class="whs2"> </p>
|
|
|
|
|
|
|
|
|
|
<p class="whs3"># create sketchers</p>
|
|
|
|
|
|
|
|
|
|
<p class="whs2">sketcher1 = geompy.MakeSketcher("Sketcher:F
|
|
|
|
|
0 0:TT 70 0:TT 70 70:TT 0 70:WW")</p>
|
|
|
|
|
|
|
|
|
|
<p class="whs2">sketcher2 = geompy.MakeSketcher("Sketcher:F
|
|
|
|
|
20 20:TT 50 20:TT 50 50:TT 20 50:WW")</p>
|
|
|
|
|
|
|
|
|
|
<p class="whs2"> </p>
|
|
|
|
|
|
|
|
|
|
<p class="whs3"># create a face from
|
|
|
|
|
two wires</p>
|
|
|
|
|
|
|
|
|
|
<p class="whs2">isPlanarFace = 1</p>
|
|
|
|
|
|
|
|
|
|
<p class="whs2">face1 = geompy.MakeFaces([sketcher1,
|
|
|
|
|
sketcher2], isPlanarFace)</p>
|
|
|
|
|
|
|
|
|
|
<p class="whs2">geompy.addToStudy(face1,
|
|
|
|
|
"Face1")</p>
|
|
|
|
|
|
|
|
|
|
<p class="whs2"> </p>
|
|
|
|
|
|
|
|
|
|
<p class="whs3"># create a mesh</p>
|
|
|
|
|
|
|
|
|
|
<p class="whs2">tria = smesh.Mesh(face1,
|
|
|
|
|
"Face : triangle 2D mesh")</p>
|
|
|
|
|
|
|
|
|
|
<p class="whs2"> </p>
|
|
|
|
|
|
|
|
|
|
<p class="whs3"># Define 1D meshing</p>
|
|
|
|
|
|
|
|
|
|
<p class="whs2">algo1D = tria.Segment()</p>
|
|
|
|
|
|
|
|
|
|
<p class="whs2">algo1D.NumberOfSegments(2)</p>
|
|
|
|
|
|
|
|
|
|
<p class="whs2"> </p>
|
|
|
|
|
|
|
|
|
|
<p class="whs3"># create and assign the
|
|
|
|
|
algorithm for 2D meshing with triangles</p>
|
|
|
|
|
|
|
|
|
|
<p class="whs2">algo2D = tria.Triangle()</p>
|
|
|
|
|
|
|
|
|
|
<p class="whs2"> </p>
|
|
|
|
|
|
|
|
|
|
<p class="whs3"># create and assign "LengthFromEdges"
|
|
|
|
|
hypothesis to build triangles<span style="font-family: 'Times New Roman', serif;">
|
|
|
|
|
based on the length of the edges taken from the wire</span></p>
|
|
|
|
|
|
|
|
|
|
<p class="whs2">algo2D.LengthFromEdges()</p>
|
|
|
|
|
|
|
|
|
|
<p class="whs2"> </p>
|
|
|
|
|
|
|
|
|
|
<p class="whs3"># compute the mesh</p>
|
|
|
|
|
|
|
|
|
|
<p class="whs2">tria.Compute() </p>
|
|
|
|
|
|
|
|
|
|
<p class="whs2"> </p>
|
|
|
|
|
|
|
|
|
|
<h3>Defining Additional Hypotheses</h3>
|
|
|
|
|
|
|
|
|
|
<h4><a name=bookmark7>Propagation</a></h4>
|
|
|
|
|
|
|
|
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<p class="whs2">from geompy import
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*</p>
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<p class="whs2">import smesh</p>
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<p class="whs2"> </p>
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<p class="whs3"># create a box</p>
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<p class="whs2">box = MakeBoxDXDYDZ(10.,
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10., 10.)</p>
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<p class="whs2">addToStudy(box, "Box")</p>
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<p class="whs2"> </p>
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<p class="whs3"># get one edge of the
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box to put local hypothesis on</p>
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<p class="whs2">p5 = MakeVertex(5.,
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0., 0.)</p>
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<p class="whs2">EdgeX = GetEdgeNearPoint(box,
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p5)</p>
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<p class="whs2">addToStudyInFather(box,
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EdgeX, "Edge [0,0,0 - 10,0,0]")</p>
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<p class="whs2"> </p>
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<p class="whs3"># create a hexahedral
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mesh on the box</p>
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<p class="whs2">hexa = smesh.Mesh(box,
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"Box : hexahedrical mesh")</p>
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<p class="whs2"> </p>
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<p class="whs3"># set global algorithms
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and hypotheses</p>
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<p class="whs2">algo1D = hexa.Segment()</p>
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<p class="whs2">hexa.Quadrangle()</p>
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<p class="whs2">hexa.Hexahedron()</p>
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<p class="whs2">algo1D.NumberOfSegments(4)</p>
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<p class="whs2"> </p>
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<p class="whs3"># create a sub-mesh with
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local 1D hypothesis and propagation</p>
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<p class="whs2">algo_local = hexa.Segment(EdgeX)</p>
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<p class="whs2"> </p>
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<p class="whs3"># define "Arithmetic1D"
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hypothesis to cut an edge in several segments with increasing length</p>
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<p class="whs2">algo_local.Arithmetic1D(1,
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4)</p>
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<p class="whs2"> </p>
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<p class="whs3"># define "Propagation"
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hypothesis that propagates all other 1D hypotheses</p>
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<p class="whs3"># from all edges on the
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opposite side of a face in case of quadrangular faces</p>
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<p class="whs2">algo_local.Propagation()</p>
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<p class="whs2"> </p>
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<p class="whs3"># compute the mesh</p>
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<p><span style="font-family: 'Lucida Console', monospace;">hexa.Compute()</span>
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</p>
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<h3><a name=bookmark8>Defining Meshing Algorithms</a></h3>
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<p class="whs4">import geompy</p>
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<p class="whs4">import smesh</p>
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<p class="whs6"> </p>
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<p class="whs6"># create a box</p>
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<p class="whs4">box = geompy.MakeBoxDXDYDZ(10.,
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10., 10.)</p>
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<p class="whs4">geompy.addToStudy(box,
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"Box")</p>
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<p class="whs4"> </p>
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<p class="whs6"># 1. Create a hexahedral
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mesh on the box</p>
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<p class="whs4">hexa = smesh.Mesh(box,
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"Box : hexahedrical mesh")</p>
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<p class="whs6"> </p>
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<p class="whs6"># create a Regular 1D algorithm
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for edges</p>
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<p class="whs4">algo1D = hexa.Segment()</p>
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<p class="whs6"> </p>
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<p class="whs6"># create a quadrangle 2D
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algorithm for faces</p>
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<p class="whs4">algo2D = hexa.Quadrangle()</p>
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<p class="whs6"> </p>
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<p class="whs6"># create a hexahedron 3D
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algorithm for solids</p>
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<p class="whs4">algo3D = hexa.Hexahedron()</p>
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<p class="whs6"> </p>
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<p class="whs6"># define hypotheses</p>
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<p class="whs4">algo1D.Arithmetic1D(1,
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4)</p>
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<p class="whs6"> </p>
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<p class="whs6"># compute the mesh</p>
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<p class="whs4">hexa.Compute()</p>
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<p class="whs6"> </p>
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<p class="whs6"># 2. Create a tetrahedral
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mesh on the box</p>
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<p class="whs4">tetra = smesh.Mesh(box,
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"Box : tetrahedrical mesh")</p>
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<p class="whs6"> </p>
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<p class="whs6"># create a Regular 1D algorithm
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for edges</p>
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<p class="whs4">algo1D = tetra.Segment()</p>
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<p class="whs6"> </p>
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<p class="whs6"># create a Mefisto 2D algorithm
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for faces</p>
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<p class="whs4">algo2D = tetra.Triangle()</p>
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<p class="whs6"> </p>
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<p class="whs6"># create a Netgen 3D algorithm
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for solids</p>
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<p class="whs4">algo3D = tetra.Tetrahedron(smesh.NETGEN)</p>
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<p class="whs6"> </p>
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<p class="whs6"># define hypotheses</p>
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<p class="whs4">algo1D.Arithmetic1D(1,
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4)</p>
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<p class="whs4">algo2D.LengthFromEdges()</p>
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<p class="whs6"> </p>
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<p class="whs6"># compute the mesh</p>
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<p class="whs4">tetra.Compute()</p>
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<p class="whs6"> </p>
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<p class="whs6"># 3. Create a tetrahedral
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mesh on the box with NETGEN_2D3D algorithm</p>
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<p class="whs4">tetraN = smesh.Mesh(box,
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"Box : tetrahedrical mesh by NETGEN_2D3D")</p>
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<p class="whs6"> </p>
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<p class="whs6"># create a Netgen_2D3D
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algorithm for solids</p>
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<p class="whs4">algo3D = tetraN.Tetrahedron(smesh.FULL_NETGEN)
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</p>
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<p class="whs6"> </p>
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<p class="whs6"># define hypotheses</p>
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<p class="whs4">n23_params = algo3D.Parameters()</p>
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<p class="whs6"> </p>
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<p class="whs6"># compute the mesh</p>
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<p class="whs4">tetraN.Compute()
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</p>
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<script type="text/javascript" language="javascript1.2">
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