DCQ : Merge with Ecole_Ete_a6.

This commit is contained in:
yfr 2004-06-18 08:55:35 +00:00
parent c3bf92bd87
commit bc37f0b49f
343 changed files with 32223 additions and 6981 deletions

288
doc/salome/gui/SMESH/SMESH.log Executable file
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<h1>Wire discretization</h1>
<p><img src="../i_blue.jpg" x-maintain-ratio="TRUE" width="30px" height="30px" border="0" class="img_whs1"> This algorithm is used for meshing of 1D entities of
geometrical objects - <span style="font-weight: bold;"><B>edges</B></span><span>.
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<p class=TODO>To apply the Wire discretization meshing algorithm:</p>
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<h1>Quadrangle meshing algorithm</h1>
<p><img src="../i_blue.jpg" x-maintain-ratio="TRUE" width="30px" height="30px" border="0" class="img_whs1"> This algorithm is used for meshing of 2D entities of
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</span></p>
<p>&nbsp;</p>
<p class=TODO>To apply the Quadrangle meshing algorithm:</p>
<p class=TODO>&nbsp;</p>
<p class="whs2">From the <span style="font-weight: bold;"><B>Hypotheses
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<h1>Triangle (Mefisto) meshing algorithm</h1>
<p><img src="../i_blue.jpg" x-maintain-ratio="TRUE" width="30px" height="30px" border="0" class="img_whs1"> This algorithm is used for meshing of 2D entities of
geometrical objects - <span style="font-weight: bold;"><B>faces</B></span><span>.
</span></p>
<p>&nbsp;</p>
<p class=TODO>To apply the Triangle meshing algorithm:</p>
<p class=TODO>&nbsp;</p>
<p class="whs2">From the <span style="font-weight: bold;"><B>Hypotheses
</B></span>menu select <span style="font-weight: bold;"><B>Triangle (Mefisto)
</B></span>or click <img src="../image55.gif" width="27px" height="24px" border="0" class="img_whs3"> button in the toolbar.</p>
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<h1>Hexahedron meshing algorithm</h1>
<p><img src="../i_blue.jpg" x-maintain-ratio="TRUE" width="30px" height="30px" border="0" class="img_whs1"> This algorithm is used for meshing of 3D entities of
geometrical objects - <span style="font-weight: bold;"><B>volume objects</B></span><span>.
</span></p>
<p>&nbsp;</p>
<p class=TODO>To apply the Hexahedron meshing algorithm:</p>
<p class=TODO>&nbsp;</p>
<p class="whs2">From the <span style="font-weight: bold;"><B>Hypotheses
</B></span>menu select <span style="font-weight: bold;"><B>Hexahedron (i,j,k)
&nbsp;</B></span>or
click <img src="../image53.gif" width="26px" height="24px" border="0" class="img_whs3"> button in the toolbar.</p>
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<h1>About hypotheses</h1>
<p><img src="../i_blue.jpg" x-maintain-ratio="TRUE" width="30px" height="30px" border="0" class="img_whs1"> <span style="font-weight: bold;"><B>Hypotheses</B></span> represent
boundary conditions which will be taken into account at calculations of
meshes or submeshes basing on geometrical objects. These hypotheses allow
you to manage the level of detail of the resulting meshes or submeshes:
when applying different hypotheses with different parameters you can preset
the quantity of meshing elements which will compose your mesh. So, it
will be possible to generate a rough or a more refined mesh or submesh.
In <span style="font-weight: bold;"><B>SMESH </B></span>there are the following
basic hypotheses:</p>
<p>&nbsp;</p>
<ul type="disc" class="whs2">
<li style="list-style: circle;"
type=circle
class=kadov-p><p>For meshing of <span style="font-weight: bold;"><B>edges</B></span>:</p></li>
<ul type="disc" class="whs2">
<li class=kadov-p><p><a href="local_length_hypothesis.htm">Local
Length</a> </p></li>
<li class=kadov-p><p><a href="number_of_segments_hypothesis.htm">Number
of segments</a></p></li>
</ul>
<li style="list-style: circle;"
type=circle
class=kadov-p><p>For meshing of <span style="font-weight: bold;"><B>faces</B></span>:
</p></li>
</ul>
<ol type="disc" class="whs3">
<ul type="disc" class="whs2">
<li class=kadov-p><p><a href="max._element_area_hypothesis.htm">Max
Element Area</a></p></li>
</ul>
</ol>
<ul type="disc" class="whs2">
<li style="list-style: circle;"
type=circle
class=kadov-p><p>For meshing of <span style="font-weight: bold;"><B>volumes</B></span>:
</p></li>
<ul type="disc" class="whs2">
<li class=kadov-p><p><a href="max._element_volume_hypothsis.htm">Max
Element Volume</a> &nbsp;</p></li>
</ul>
</ul>
<p>&nbsp;</p>
<p>&nbsp;</p>
<p>The choice of a hypothesis depends on:</p>
<p>&nbsp;</p>
<ul type="disc" class="whs2">
<li class=kadov-p><p>the geometrical object (shape) which will be meshed</p></li>
<li class=kadov-p><p>the algorithm, which will be selected for meshing
of this geometrical object (shape)</p></li>
</ul>
<p>&nbsp;</p>
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<h1>About meshes</h1>
<p><img src="../i_blue.jpg" x-maintain-ratio="TRUE" width="30px" height="30px" border="0" class="img_whs1"> <span style="font-weight: bold;"><B>MESH</B></span> represents
a discretization of a geometrical CAD model into a set of entities with
a simple topology. In SMESH there are two options of creation of meshes,
you can:</p>
<p>&nbsp;</p>
<ul type="disc" class="whs2">
<li class=kadov-p><p>generate meshes on the basis of geometrical shapes
produced in the GEOM module, </p></li>
<li class=kadov-p><p>create your own meshes using the SMESH functions
destined for modification of generated meshes. More about this functionality
of SMESH <a href="about_modification_of_meshes.htm">see here</a>. </p></li>
</ul>
<p>&nbsp;</p>
<p>The topology of a mesh is described by the relationships between its
entities including:</p>
<p class="whs3">&nbsp;</p>
<ul type="disc" class="whs2">
<li class=kadov-p><p class="whs3"><span style="font-weight: bold;"><B>Node</B></span>
0D element of a mesh presented by a point with coordinates (x, y, z).</p></li>
<li class=kadov-p><p class="whs3"><span style="font-weight: bold;"><B>Edge</B></span>
1D element of a mesh defined by two nodes.</p></li>
<li class=kadov-p><p class="whs3"><span style="font-weight: bold;"><B>Face</B></span>
2D element of a mesh defined by three or four edges (closed contour).</p></li>
<li class=kadov-p><p class="whs3"><span style="font-weight: bold;"><B>Volume</B></span>
3D element of a mesh defined by several faces.</p></li>
</ul>
<p class="whs3">&nbsp;</p>
<p class="whs4">These entities are considered as topological
entities and they don't imply any geometric representation. Only <span
style="font-weight: bold;"><B>Nodes</B></span> reference &nbsp;geometric
representations of points with definite coordinates. <span style="text-indent: 8px;">The
node entity will contain &nbsp;additional
information about its position in the space and its relations with the
meshed CAD model. Its position could be described in the following way:</span></p>
<p class="whs4">&nbsp;</p>
<ul type="disc" class="whs2">
<li class=kadov-p><p class="whs3"><span style="font-weight: bold;"><B>2D
position</B></span>. It is a free position defined by only two coordinates
x,y.</p></li>
<li class=kadov-p><p class="whs3"><span style="font-weight: bold;"><B>3D
position</B></span>. It is a free position defined by three coordinates x,y
and z.</p></li>
<li class=kadov-p><p class="whs3"><span style="font-weight: bold;"><B>Surface
position</B></span>. It characterizes the position of a node on a geometric
surface and is defined by the u,v position in the parametric space of
the corresponding surface.</p></li>
<li class=kadov-p><p class="whs3"><span style="font-weight: bold;"><B>Line
position</B></span>. It characterizes the position of a node on a geometric
curve and is defined by the u parameter and the corresponding curve.</p></li>
<li class=kadov-p><p class="whs3"><span style="font-weight: bold;"><B>Vertex
position</B></span>. It characterizes the position of a node on a geometric
point of the meshed CAD model and is defined by the x,y,z coordinates
of the corresponding vertex.</p></li>
</ul>
<p class="whs3">&nbsp;</p>
<p class="whs3">&nbsp;</p>
<h4 class="whs5">Connections</h4>
<p class="whs6">Each mesh entity bounds 0 or more mesh entities
of higher dimension. In the same way each mesh entity is bounded by 0
or more mesh entities of lower dimension:</p>
<p class="whs6">&nbsp;</p>
<ul type="disc" class="whs2">
<li class=kadov-p><p class="whs6">A node bounds edges,
faces and volumes</p></li>
<li class=kadov-p><p class="whs6">An edge bounds faces,
and volumes</p></li>
<li class=kadov-p><p class="whs6">A face bounds volumes</p></li>
<li class=kadov-p><p class="whs6">A volume is bounded
by faces, edges and nodes</p></li>
<li class=kadov-p><p class="whs6">A face is bounded by
edges, and nodes</p></li>
<li class=kadov-p><p class="whs6">An edge is bounded by
nodes</p></li>
</ul>
<p class="whs6">&nbsp;</p>
<p class="whs6">You can notice that there are two types of
connections: <span style="font-weight: bold;"><B>inverse</B></span> and <span
style="font-weight: bold;"><B>direct</B></span> connections.</p>
<p class="whs6">&nbsp;</p>
<h4 class="whs5">Inverse connections</h4>
<p class="whs6">&nbsp;</p>
<p class="whs6">This relationship has a particularity that
the order of bounded entities has not a direct meaning. Also the number
of bounded entities is not fixed.</p>
<p class="whs6">&nbsp;</p>
<p class="whs6"><img src="../pics/exemple.gif" x-maintain-ratio="TRUE" width="36px" height="38px" border="0" class="img_whs7"> The edges surrounding a node.
The 3rd edge has no more sense that the 5th one.</p>
<p class="whs6">&nbsp;</p>
<p class="whs8">Direct connections</p>
<p class="whs6">&nbsp;</p>
<p class="whs6">This relationship has a particularity that
the order of bounding entities is meaningful. The number of bounding entities
is fixed and depends on the type of the entity (hexahedron, tetrahedron,…).</p>
<p class="whs6">&nbsp;</p>
<p class="whs6"><img src="../pics/exemple.gif" x-maintain-ratio="TRUE" width="36px" height="38px" border="0" class="img_whs7"> An edge is composed of two
nodes. A face is composed of 3 or 4 edges depending if we are dealing
with triangles or quadrangles.</p>
<p class="whs6">&nbsp;</p>
<p class="whs6">The connections are not only restricted to
entities of one dimension higher or lower. For example some algorithms
may be interested to retrieve all the faces surrounding a node.</p>
<p class="whs6">&nbsp;</p>
<p class="whs6">&nbsp;</p>
<p class="whs6">&nbsp;</p>
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<h1>About meshing algorithms</h1>
<p><img src="../i_blue.jpg" x-maintain-ratio="TRUE" width="30px" height="30px" border="0" class="img_whs1"> The SMESH module contains a set of meshing algorithms,
which are used for meshing of all kinds of entities (1D, 2D, 3D) composing
geometrical objects. They are as follows:</p>
<p>&nbsp;</p>
<ul type="disc" class="whs2">
<li class=kadov-p><p>For meshing of 1D entities (<span style="font-weight: bold;"><B>edges</B></span>):</p></li>
</ul>
<p>&nbsp;</p>
<ul type="disc" class="whs2">
<ul type="disc" class="whs2">
<li style="list-style: circle;"
type=circle
class=kadov-p><p><a href="1d_meshing_algorithm.htm">Wire discretization
meshing algorithm</a></p></li>
</ul>
</ul>
<p>&nbsp;</p>
<ul type="disc" class="whs2">
<li class=kadov-p><p>For meshing of 2D entities (<span style="font-weight: bold;"><B>faces</B></span>):</p></li>
</ul>
<p>&nbsp;</p>
<ul type="disc" class="whs2">
<ul type="circle" class="whs3">
<li class=kadov-p><p><a href="2d_meshing_algorithm.htm">Triangle
meshing algorithm</a></p></li>
<li class=kadov-p><p><a href="2d_(quadrangle)_meshing_algorithm.htm">Quadrangle
meshing algorithm</a></p></li>
</ul>
</ul>
<p>&nbsp;</p>
<ul type="disc" class="whs2">
<li class=kadov-p><p>For meshing of 3D entities (<span style="font-weight: bold;"><B>volume
objects</B></span>):</p></li>
</ul>
<p>&nbsp;</p>
<ul type="disc" class="whs2">
<ul type="circle" class="whs3">
<li class=kadov-p><p><a href="3d_meshing_algorithm.htm">Hexahedron
meshing algorithm</a></p></li>
<li class=kadov-p><p><a href="tetrahedron_(netgen)_meshing_algorithm.htm">Tetrahedron
meshing algorithm</a></p></li>
</ul>
</ul>
<p>&nbsp;</p>
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<h1>About quality controls</h1>
<p class="whs1"><img src="../i_blue.jpg" x-maintain-ratio="TRUE" width="30px" height="30px" border="0" class="img_whs2"> <span style="font-weight: bold;"><B>Mesh
quality control</B></span> in SMESH is destined for visual control of the
generated mesh.</p>
<p class="whs1">Application of a definite quality control
consists of usage of the corresponding algorithm, which calculates a value
of a definite geometric characteristic (Area, Length of edges, etc) for
all meshing elements, composing your mesh. Then all meshing elements are
colored according the calculated values. The reference between the coloring
of the meshing elements and these calculated values is shown with the
help of a scalar bar, which is displayed near the presentation of your
mesh. &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</p>
<p class="whs1">&nbsp;</p>
<p class="whs1">In SMESH you have at your disposal the
following mesh quality controls:</p>
<p class="whs1">&nbsp;</p>
<ul type="disc" class="whs3">
<li class=kadov-p><p class="whs1"><a href="length_of_edges.htm">Length
of edges</a></p></li>
<li class=kadov-p><p class="whs1"><a href="area_of_elements.htm">Area
of elements</a></p></li>
<li class=kadov-p><p class="whs1"><a href="taper.htm">Taper</a></p></li>
<li class=kadov-p><p class="whs1"><a href="aspect_ratio.htm">Aspect
Ratio</a></p></li>
<li class=kadov-p><p class="whs1"><a href="minimum_angle.htm">Minimum
angle</a></p></li>
<li class=kadov-p><p class="whs1"><a href="warp.htm">Warping</a></p></li>
<li class=kadov-p><p class="whs1"><a href="skew.htm">Skew
angle</a></p></li>
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<h1>Area of elements</h1>
<p><img src="../i_blue.jpg" x-maintain-ratio="TRUE" width="30px" height="30px" border="0" class="img_whs1"> <span style="font-weight: bold;"><B>Area of elements </B></span>mesh
quality control is based on the algorithm of area calculation of &nbsp;meshing
elements . It can be applied to meshes consisting of 2D meshing elements
with 3 and 4 nodes (triangles and quadrangles). &nbsp;&nbsp;&nbsp;</p>
<p>&nbsp;</p>
<p class=TODO>To apply the Area quality control to your mesh:</p>
<p class=TODO>&nbsp;</p>
<p class="whs2">1. Display your mesh in the viewer.</p>
<p class="whs2">&nbsp;</p>
<p class="whs2">2. Choose <span style="font-weight: bold;"><B>Quality
Controls &gt; Area </B></span>or click <img src="../image35.gif" width="22px" height="23px" border="0" class="img_whs3"> button. Your mesh will
be displayed in the viewer with its elements colored according to the
applied mesh quality control criterion:</p>
<p class="whs2">&nbsp;</p>
<p class="whs2">&nbsp;</p>
<p class="whs2"><img src="../image4.jpg" width="469px" height="326px" border="0" class="img_whs4"></p>
<p class="whs2">&nbsp;</p>
<p class="whs2">&nbsp;</p>
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<h1>Aspect Ratio</h1>
<p><img src="../i_blue.jpg" x-maintain-ratio="TRUE" width="30px" height="30px" border="0" class="img_whs1"> The <span style="font-weight: bold;"><B>Aspect Ratio</B></span>
quality criterion for mesh elements is defined as follows:</p>
<p>&nbsp;</p>
<ul type="disc" class="whs2">
<li class=kadov-p><p>For a <span style="font-weight: bold;"><B>triangle</B></span>
2D element consisting of 3 nodes a the <span style="font-weight: bold;"><B>Aspect
Ratio</B></span> is calculated as the ratio of the length, h2, of the edge
of this triangle, to the height, h1. The ratio of h2 to h1 is then multiplied
by &nbsp;3<span
style="vertical-align: Super; font-size: 10pt;"><font size=2 style="font-size:10pt;">(1/2)</font></span> /2, so that
a “perfect” element in the shape of an equilateral triangle will be equal
to 1. This procedure is repeated for the remaining two edges of the triangle,
and the largest value is retained as the <span style="font-weight: bold;"><B>Aspect
Ratio</B></span> for the element.</p></li>
</ul>
<p>&nbsp;</p>
<p class="whs3"><img src="../image26.jpg" width="238px" height="205px" border="0" class="img_whs4"></p>
<p>&nbsp;</p>
<p class="whs5">&nbsp;</p>
<ul type="disc" class="whs2">
<li class=kadov-p><p class="whs5">For a <span style="font-weight: bold;"><B>quadrangle</B></span>
2D element consisting of 4 nodes &nbsp;the
<span style="font-weight: bold;"><B>Aspect Ratio </B></span>is the ratio of the
element's longest side to its shortest side.</p></li>
</ul>
<p class="whs3"><img src="../image22.gif" width="226px" height="70px" border="0" class="img_whs6"></p>
<p class="whs3">&nbsp;</p>
<p class=TODO>To apply the Aspect Ratio quality criterion to your mesh:</p>
<p class=TODO>&nbsp;</p>
<p class="whs7">1. Display your mesh in the viewer.</p>
<p class="whs7">&nbsp;</p>
<p class="whs7">2. Choose <span style="font-weight: bold;"><B>Quality
Controls &gt; Aspect Ratio </B></span>or click <img src="../image37.gif" width="25px" height="24px" border="0" class="img_whs8"> button in the
toolbar. Your mesh will be displayed in the viewer with its elements colored
according to the applied mesh quality control criterion:</p>
<p class="whs7">&nbsp;</p>
<p class="whs7"><img src="../image7.jpg" width="467px" height="327px" border="0" class="img_whs9"></p>
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<h1>Changing orientation of elements</h1>
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<h1>Computing meshes</h1>
<p>The final step in generation of your mesh is its computation.</p>
<p>&nbsp;</p>
<p class=TODO>To compute a mesh:</p>
<p class=TODO>&nbsp;</p>
<p class="whs1">1. Select your mesh in the <span style="font-weight: bold;"><B>Object
Browser</B></span>.</p>
<p class="whs1">&nbsp;</p>
<p class="whs1">2. From the <span style="font-weight: bold;"><B>Mesh
</B></span>menu select<span style="font-weight: bold;"><B> Compute </B></span>or
click <img src="../image28.gif" width="25px" height="24px" border="0" class="img_whs2"> button of the toolbar. </p>
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<h1>Constructing meshes</h1>
<p class="whs1">Construction of a mesh consists of:</p>
<p class="whs1">&nbsp;</p>
<ul type="disc" class="whs2">
<li class=kadov-p><p class="whs1">Selecting a geometrical
object for meshing</p></li>
<li class=kadov-p><p class="whs1">Applying one or several
previously <a href="about_hypotheses.htm">hypotheses</a> and <a href="about_meshing_algorithms.htm">meshing
algorithms</a> which will be used at computation of this mesh.</p></li>
</ul>
<p class="whs1">&nbsp;</p>
<p class=TODO>To construct a mesh:</p>
<p class=TODO>&nbsp;</p>
<p class="whs3">In the <span style="font-weight: bold;"><B>Mesh
</B></span>menu select<span style="font-weight: bold;"><B> Global Hyp. </B></span>or
click <img src="../image32.gif" width="22px" height="24px" border="0" class="img_whs4"> button in the toolbar. The following dialog box will
appear:</p>
<p class="whs3">&nbsp;</p>
<p class="whs5"><img src="../image31.gif" width="304px" height="305px" border="0" class="img_whs6"></p>
<p class="whs5">&nbsp;</p>
<p class="whs1">&nbsp;</p>
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<h1>Constructing submeshes</h1>
<p class="whs1">Construction of a submesh consists of:</p>
<p class="whs1">&nbsp;</p>
<ul type="disc" class="whs2">
<li class=kadov-p><p class="whs1">Selecting a mesh which
will encapsulate your submesh</p></li>
<li class=kadov-p><p class="whs1">Selecting a geometrical
object for meshing</p></li>
<li class=kadov-p><p class="whs1">Applying one or several
previously <a href="about_hypotheses.htm">hypotheses</a> and <a href="about_meshing_algorithms.htm">meshing
algorithms</a> which will be used at computation of this submesh.</p></li>
</ul>
<p class="whs1">&nbsp;</p>
<p class=TODO>To construct a submesh:</p>
<p class=TODO>&nbsp;</p>
<p class="whs3">From the <span style="font-weight: bold;"><B>Mesh
</B></span>menu select<span style="font-weight: bold;"><B> Local Hyp. </B></span>or
click <img src="../image33.gif" width="27px" height="25px" border="0" class="img_whs4"> button in the toolbar. The following dialog box will
appear:</p>
<p class="whs3">&nbsp;</p>
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<p class="whs5">&nbsp;</p>
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<h1>Displaying elements numbers</h1>
<p>In SMESH you can display the ID numbers of all meshing elements composing
your mesh in the viewer.</p>
<p>&nbsp;</p>
<p class=TODO>To display ID numbers of elements:</p>
<p class=TODO>&nbsp;</p>
<p class="whs1">1. Display your mesh in the viewer</p>
<p class="whs1">&nbsp;</p>
<p class="whs1">2. From the <span style="font-weight: bold;"><B>Numbering
</B></span>menu select<span style="font-weight: bold;"><B> Display Elements #</B></span>.</p>
<p class="whs1">&nbsp;</p>
<p class="whs2">It will look like as follows:</p>
<p class="whs2">&nbsp;</p>
<p class="whs1"><img src="../image29.jpg" width="436px" height="367px" border="0" class="img_whs3"></p>
<p class="whs1">&nbsp;</p>
<p class="whs2">&nbsp;</p>
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<h1>Displaying nodes numbers</h1>
<p>In SMESH you can display the ID numbers of all nodes of your mesh in
the viewer.</p>
<p>&nbsp;</p>
<p class=TODO>To display ID numbers of nodes:</p>
<p class=TODO>&nbsp;</p>
<p class="whs1">1. Display your mesh in the viewer</p>
<p class="whs1">&nbsp;</p>
<p class="whs1">2. From the <span style="font-weight: bold;"><B>Numbering
</B></span>menu select <span style="font-weight: bold;"><B>&nbsp;Display
Nodes #</B></span>.</p>
<p class="whs1">&nbsp;</p>
<p class="whs2">It will look like as follows:</p>
<p class="whs2">&nbsp;</p>
<p class="whs1"><img src="../image28.jpg" width="436px" height="365px" border="0" class="img_whs3"></p>
<p class="whs1">&nbsp;</p>
<p class="whs1">&nbsp;</p>
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<h1>Editing hypotheses</h1>
<p>&nbsp;</p>
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<h1>Importing and exporting meshes</h1>
<p><img src="../i_blue.jpg" x-maintain-ratio="TRUE" width="30px" height="30px" border="0" class="img_whs1"> In SMESH there is a functionality allowing importation/exportation
of meshes from <span style="font-weight: bold;"><B>MED</B></span>, <span style="font-weight: bold;"><B>UNV</B></span>
format files. </p>
<p>&nbsp;</p>
<p class=TODO>To import a mesh:</p>
<p class=TODO>&nbsp;</p>
<p class="whs2">1. From the <span style="font-weight: bold;"><B>File</B></span>
menu choose the <span style="font-weight: bold;"><B>Import</B></span> item, from
its sub-menu select the corresponding format (MED, &nbsp;UNV)
of the file containing your mesh.</p>
<p class="whs2">2. In the standard <span style="font-weight: bold;"><B>Search
File </B></span>dialog box find the file for importation. </p>
<p class="whs2">3. Click the <span style="font-weight: bold;"><B>OK
</B></span>button. </p>
<p class="whs2">&nbsp;</p>
<p class=TODO>To export a mesh:</p>
<p class=TODO>&nbsp;</p>
<p class="whs2">1. From the <span style="font-weight: bold;"><B>File</B></span>
menu choose the <span style="font-weight: bold;"><B>Export</B></span> item, from
its sub-menu select the format (MED, UNV) of the file which will contain
your exported mesh..</p>
<p class="whs2">2. In the standard <span style="font-weight: bold;"><B>Search
File </B></span><span>select a location for the exported file and enter its
name.</span> </p>
<p class="whs2">3. Click the <span style="font-weight: bold;"><B>OK
</B></span>button. </p>
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<h1>Introduction to SMESH</h1>
<p><img src="../i_blue.jpg" x-maintain-ratio="TRUE" width="30px" height="30px" border="0" class="img_whs1"><span style="font-weight: bold;"><B>SMESH</B></span> module of
SALOME is destined for: </p>
<p>&nbsp;</p>
<ul type="disc" class="whs2">
<li class=kadov-p><p>import and export of meshes in MED format,</p></li>
<li class=kadov-p><p>meshing geometrical models previously created
or imported by the GEOM component. SMESH module allows to apply 1D, 2D,
3D meshing algorithms and a set of hypotheses:</p></li>
<ul type="circle" class="whs3">
<li class=kadov-p><p>Local length</p></li>
<li class=kadov-p><p>Number of segments</p></li>
<li class=kadov-p><p>Max Element Area</p></li>
<li class=kadov-p><p>Max Element Volume</p></li>
</ul>
<li class=kadov-p><p>modification of locally generated meshes by</p></li>
<ul type="circle" class="whs3">
<li class=kadov-p><p>Addition/deletion of nodes and elements</p></li>
<li class=kadov-p><p>Moving nodes and elements</p></li>
</ul>
<li class=kadov-p><p>grouping mesh elements and performing operations
on these groups </p></li>
<li class=kadov-p><p>quality control of meshes basing on a set of definite
criteria -</p></li>
</ul>
<p class="whs4">&nbsp;</p>
<p class="whs5">for edges:</p>
<p class="whs4">&nbsp;</p>
<ul type="disc" class="whs2">
<ul type="circle" class="whs3">
<li class=kadov-p><p>Length of edges </p></li>
<li class=kadov-p><p>Borders at multi-connections</p></li>
<li class=kadov-p><p>Free borders</p></li>
</ul>
</ul>
<p class="whs4">&nbsp;</p>
<p class="whs5">for faces:</p>
<p class="whs4">&nbsp;</p>
<ul type="disc" class="whs2">
<ul type="circle" class="whs3">
<li class=kadov-p><p>Area of elements</p></li>
<li class=kadov-p><p>Minimum angle</p></li>
<li class=kadov-p><p>Taper</p></li>
<li class=kadov-p><p>Aspect Ratio</p></li>
<li class=kadov-p><p>Warping</p></li>
<li class=kadov-p><p>Skew angle</p></li>
</ul>
</ul>
<p>&nbsp;</p>
<p>&nbsp;</p>
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<h1>Length of edges</h1>
<p><img src="../i_blue.jpg" x-maintain-ratio="TRUE" width="30px" height="30px" border="0" class="img_whs1">This quality control criterion consists of calculation
of length of the edges combining the meshing elements (triangles and quadrangles)
of your mesh. </p>
<p>&nbsp;&nbsp;&nbsp;</p>
<p class=TODO>To apply the Length of edges quality criterion to your mesh:</p>
<p class=TODO>&nbsp;</p>
<p class="whs2">1. Display your mesh in the viewer.</p>
<p class="whs2">&nbsp;</p>
<p class="whs2">2. Choose <span style="font-weight: bold;"><B>Quality
Controls &gt; Length </B></span>or click <img src="../image34.gif" width="27px" height="24px" border="0" class="img_whs3"> button in the toolbar.
Your mesh will be displayed in the viewer with its elements colored according
to the applied mesh quality control criterion:</p>
<p class="whs2">&nbsp;</p>
<p class="whs2"><img src="../image3.jpg" width="468px" height="327px" border="0" class="img_whs4"></p>
<p class="whs2">&nbsp;</p>
<p class="whs2">&nbsp;</p>
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<h1>Local Length hypothesis</h1>
<p><img src="../i_blue.jpg" x-maintain-ratio="TRUE" width="30px" height="30px" border="0" class="img_whs1"> <span style="font-weight: bold;"><B>Local Length </B></span>hypothesis
can be applied for meshing of edges composing your geometrical object.
Definition of this hypothesis consists of setting the <span style="font-weight: bold;"><B>length</B></span>
of segments, which will split these edges. The points on the edges generated
by these segments will represent nodes of your mesh. Later these nodes
will be used for meshing of the faces abutting to these edges.</p>
<p>&nbsp;</p>
<p class="whs2"><img src="../image41.gif" width="367px" height="224px" border="0" class="img_whs3"></p>
<p class="whs2">&nbsp;</p>
<p class=TODO>To define the Local Length hypothesis:</p>
<p class=TODO>&nbsp;</p>
<p class="whs4">From the <span style="font-weight: bold;"><B>Hypotheses
</B></span>menu select <span style="font-weight: bold;"><B>Average Length </B></span>or
<img src="../image42.gif" width="26px" height="24px" border="0" class="img_whs5"> click button. The following dialog box will appear:</p>
<p class="whs4">&nbsp;</p>
<p class="whs6"><img src="../image43.gif" width="304px" height="233px" border="0" class="img_whs7"></p>
<p class="whs6">&nbsp;</p>
<p class="whs8">In this dialog box you can set:</p>
<p class="whs8">&nbsp;</p>
<ul type="disc" class="whs9">
<li class=kadov-p><p class="whs8"><span style="font-weight: bold;"><B>Name
</B></span>of your Local Length hypothesis</p></li>
<li class=kadov-p><p class="whs8"><span style="font-weight: bold;"><B>Length
</B></span>of segments which will split the edges of your geometrical object</p></li>
</ul>
<p class="whs8">&nbsp;</p>
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<h1>Max Element Area hypothesis</h1>
<p><img src="../i_blue.jpg" x-maintain-ratio="TRUE" width="30px" height="30px" border="0" class="img_whs1"> <span style="font-weight: bold;"><B>Max Element Area </B></span>hypothesis
can be applied for meshing of 2D faces composing your geometrical object.
Definition of this hypothesis consists of setting the <span style="font-weight: bold;"><B>maximum
area </B></span>of meshing elements (depending on the chosen meshing algorithm
it can be <span style="font-weight: bold;"><B>triangles</B></span> or <span style="font-weight: bold;"><B>quadrangles</B></span>),
which will compose the mesh of these 2D faces. </p>
<p>&nbsp;</p>
<p class=TODO>To define the Max Element Area hypothesis:</p>
<p class=TODO>&nbsp;</p>
<p class="whs2">From the <span style="font-weight: bold;"><B>Hypotheses
</B></span>menu select <span style="font-weight: bold;"><B>Max Element Area </B></span>or
<img src="../image47.gif" width="25px" height="24px" border="0" class="img_whs3"> click button. The following dialog box will appear:</p>
<p class="whs2">&nbsp;</p>
<p class="whs4"><img src="../image48.gif" width="304px" height="233px" border="0" class="img_whs5"></p>
<p class="whs4">&nbsp;</p>
<p class="whs6">In this dialog box you can set:</p>
<p class="whs6">&nbsp;</p>
<ul type="disc" class="whs7">
<li class=kadov-p><p class="whs6"><span style="font-weight: bold;"><B>Name
</B></span>of your Max Element Area hypothesis</p></li>
<li class=kadov-p><p class="whs6"><span style="font-weight: bold;"><B>Max.
Area</B></span>:<span style="font-weight: bold;"> <B></B></span>the maximum area<span
style="font-weight: bold;"> <B></B></span>of meshing elements</p></li>
</ul>
<p class="whs6">&nbsp;</p>
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<h1>Max Element Volume hypothesis</h1>
<p><img src="../i_blue.jpg" x-maintain-ratio="TRUE" width="30px" height="30px" border="0" class="img_whs1"> <span style="font-weight: bold;"><B>Max Element Area </B></span>hypothesis
can be applied for meshing of 3D objects composing your geometrical object.
Definition of this hypothesis consists of setting the <span style="font-weight: bold;"><B>maximum
volume </B></span>of 3D meshing elements (depending on the chosen meshing
algorithm it can be <span style="font-weight: bold;"><B>hexahedrons </B></span>or
<span style="font-weight: bold;"><B>tetrahedrons</B></span>), which will compose
the mesh of these 3D objects. </p>
<p>&nbsp;</p>
<p class=TODO>To define the Max Element Volume hypothesis:</p>
<p class=TODO>&nbsp;</p>
<p class="whs2">From the <span style="font-weight: bold;"><B>Hypotheses
</B></span>menu select <span style="font-weight: bold;"><B>Max Element Volume
</B></span>or <img src="../image50.gif" width="25px" height="24px" border="0" class="img_whs3"> click button. The following dialog box will appear:</p>
<p class="whs2">&nbsp;</p>
<p class="whs4"><img src="../image49.gif" width="304px" height="233px" border="0" class="img_whs5"></p>
<p class="whs4">&nbsp;</p>
<p class="whs6">In this dialog box you can set:</p>
<p class="whs6">&nbsp;</p>
<ul type="disc" class="whs7">
<li class=kadov-p><p class="whs6"><span style="font-weight: bold;"><B>Name
</B></span>of your Max Element Volume hypothesis</p></li>
<li class=kadov-p><p class="whs6"><span style="font-weight: bold;"><B>Max.
Volume</B></span>:<span style="font-weight: bold;"> <B></B></span>the maximum volume
of 3D meshing elements</p></li>
</ul>
<p class="whs6">&nbsp;</p>
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<h1>Minimum angle</h1>
<p><img src="../i_blue.jpg" x-maintain-ratio="TRUE" width="30px" height="30px" border="0" class="img_whs1"> <span style="font-weight: bold;"><B>Minimum angle</B></span>
mesh quality criterion consists of calculation of the minimum value of
angle between two adjacent sides of a 2D meshing element (triangle or
quadrangle). </p>
<p>&nbsp;</p>
<p class=TODO>To apply the Minimum angle quality criterion to your mesh:</p>
<p class=TODO>&nbsp;</p>
<p class="whs2">1. Display your mesh in the viewer.</p>
<p class="whs2">&nbsp;</p>
<p class="whs2">2. Choose <span style="font-weight: bold;"><B>Quality
Controls &gt; Minimum angle </B></span>or click <img src="../image38.gif" width="24px" height="24px" border="0" class="img_whs3"> button. Your
mesh will be displayed in the viewer with its elements colored according
to the applied mesh quality control criterion:</p>
<p class="whs2">&nbsp;</p>
<p class="whs2"><img src="../image8.jpg" width="467px" height="328px" border="0" class="img_whs4"></p>
<p class="whs2">&nbsp;</p>
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<h1>Number of segments hypothesis</h1>
<p><img src="../i_blue.jpg" x-maintain-ratio="TRUE" width="30px" height="30px" border="0" class="img_whs1"> <span style="font-weight: bold;"><B>Number of segments </B></span>hypothesis
can be applied for meshing of edges composing your geometrical object.
Definition of this hypothesis consists of setting the <span style="font-weight: bold;"><B>number</B></span>
of segments, which will split these edges. In other words your edges will
be split into a definite number of segments with approximately the same
length. The points on the edges generated by these segments will represent
nodes of your mesh. Later these nodes will be used for meshing of the
faces abutting to these edges.</p>
<p>&nbsp;</p>
<p class="whs2"><img src="../image46.gif" width="431px" height="233px" border="0" class="img_whs3"></p>
<p class=TODO>To define the Number of segments hypothesis:</p>
<p class=TODO>&nbsp;</p>
<p class="whs2">From the <span style="font-weight: bold;"><B>Hypotheses
</B></span>menu select <span style="font-weight: bold;"><B>Nb. Segments </B></span>or
<img src="../image45.gif" width="25px" height="24px" border="0" class="img_whs4"> click button. The following dialog box will appear:</p>
<p class="whs2">&nbsp;</p>
<p class="whs5"><img src="../image44.gif" width="304px" height="233px" border="0" class="img_whs6"></p>
<p class="whs5">&nbsp;</p>
<p class="whs7">In this dialog box you can set:</p>
<p class="whs7">&nbsp;</p>
<ul type="disc" class="whs8">
<li class=kadov-p><p class="whs7"><span style="font-weight: bold;"><B>Name
</B></span>of your Local Length hypothesis</p></li>
<li class=kadov-p><p class="whs7"><span style="font-weight: bold;"><B>Segments</B></span>:<span
style="font-weight: bold;"> <B></B></span>the number<span style="font-weight: bold;">
<B></B></span>of segments which will split the edges of your geometrical object</p></li>
</ul>
<p class="whs7">&nbsp;</p>
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<h1>Running SMESH module</h1>
<p class=TODO>To start <span style="font-weight: bold;"><B>SMESH </B></span><span
class=glossterm>module</span> in SALOME:</p>
<p class="whs1">&nbsp;</p>
<ol type="1" class="whs2">
<li class=kadov-p><p class="whs1">Run
SALOME </p></li>
<li class=kadov-p><p class="whs1">Create
a new study by clicking <img src="../pics/new.jpg" x-maintain-ratio="TRUE" width="32px" height="34px" border="0" class="img_whs3"> icon in the main toolbar. The
following SALOME standard window will appear: &nbsp;</p></li>
</ol>
<p class="whs1">&nbsp;</p>
<p class="whs4">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<img src="../image11.jpg" width="574px" height="404px" border="0" class="img_whs5"></p>
<p class="whs1">&nbsp;</p>
<p class="whs6"><img src="../note1.gif" x-maintain-ratio="TRUE" width="36px" height="38px" border="0" class="img_whs7"> Before launching the SMESH module, you should set the VTK
viewer as default viewer for creation of a new study window. In SMESH
you can generate and work with meshes only in VTK viewer. </p>
<p class="whs1">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</p>
<p class="whs8">&nbsp;&nbsp;&nbsp;&nbsp;3.
In the bottom toolbar click <img src="../image25.jpg" width="29px" height="28px" border="0" class="img_whs9"> icon or &nbsp;from
the bottom Choose box</p>
<p class="whs1">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<img src="../image24.jpg" width="150px" height="160px" border="0" class="img_whs10"></p>
<p class="whs1">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;select
<span style="font-weight: bold;"><B>SMESH</B></span>.</p>
<p class="whs1">&nbsp;</p>
<p class="whs1">&nbsp;</p>
<p class="whs1">The initial desktop of
the SALOME platform will be updated with some additional toolbars and
menus related to the <span style="font-weight: bold;"><B>SMESH</B></span> component
. It will look like as follows:</p>
<p class="whs1">&nbsp;</p>
<p class="whs1">&nbsp;</p>
<p class="whs4"><img src="../image12.jpg" width="574px" height="404px" border="0" class="img_whs5"></p>
<p class="whs4">&nbsp;</p>
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<h1>Skew angle</h1>
<p><img src="../i_blue.jpg" x-maintain-ratio="TRUE" width="30px" height="30px" border="0" class="img_whs1"> <span style="font-weight: bold;"><B>Skew angle</B></span> mesh
quality criterion reflects the angle between the lines that join opposite
sides of the element. SKEW &nbsp;is
a maximum value of all skew angles. </p>
<p class="whs2">This mesh quality criterion
can be applied to elements composed of 4 and 3 nodes (quadrangles and
triangles)</p>
<p>&nbsp;</p>
<p class="whs3"><img src="../image27.jpg" width="453px" height="411px" border="0" class="img_whs4"></p>
<p class="whs3">&nbsp;</p>
<p class=TODO>To apply the Skew angle quality criterion to your mesh:</p>
<p class=TODO>&nbsp;</p>
<p class="whs3">1. Display your mesh in the viewer.</p>
<p class="whs3">&nbsp;</p>
<p class="whs3">2. Choose <span style="font-weight: bold;"><B>Quality
Controls &gt; Skew </B></span>or click <img src="../image40.gif" width="24px" height="23px" border="0" class="img_whs5"> button of the toolbar.
Your mesh will be displayed in the viewer with its elements colored according
to the applied mesh quality control criterion:</p>
<p class="whs3">&nbsp;</p>
<p class="whs3"><img src="../image10.jpg" width="467px" height="326px" border="0" class="img_whs6"></p>
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<h1>Taper</h1>
<p><img src="../i_blue.jpg" x-maintain-ratio="TRUE" width="30px" height="30px" border="0" class="img_whs1"><span style="font-weight: bold;"><B>Taper</B></span> mesh quality
criterion represents the ratio of the areas of two triangles separated
by a diagonal. So it can be calculated only for elements consisting of
4 nodes.</p>
<p><img src="../image25.gif" width="791px" height="170px" border="0" class="img_whs2"></p>
<p>&nbsp;</p>
<p class=TODO>&nbsp;</p>
<p class=TODO>To apply the Taper quality criterion to your mesh:</p>
<p class=TODO>&nbsp;</p>
<p class="whs3">1. Display your mesh in the viewer.</p>
<p class="whs3">&nbsp;</p>
<p class="whs3">2. Choose <span style="font-weight: bold;"><B>Quality
Controls &gt; Taper </B></span>or click <img src="../image36.gif" width="24px" height="23px" border="0" class="img_whs4"> button in the toolbar.
Your mesh will be displayed in the viewer with its elements colored according
to the applied mesh quality control criterion:</p>
<p class="whs3">&nbsp;</p>
<p class="whs3"><img src="../image6.jpg" width="465px" height="326px" border="0" class="img_whs5"></p>
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<h1>Tetrahedron (Netgen) meshing algorithm</h1>
<p><img src="../i_blue.jpg" x-maintain-ratio="TRUE" width="30px" height="30px" border="0" class="img_whs1"> This algorithm is used for meshing of 3D entities of
geometrical objects - <span style="font-weight: bold;"><B>volume objects</B></span><span>.
</span></p>
<p>&nbsp;</p>
<p class=TODO>To apply the Tetrahedron meshing algorithm:</p>
<p class=TODO>&nbsp;</p>
<p class="whs2">From the <span style="font-weight: bold;"><B>Hypotheses
</B></span>menu select <span style="font-weight: bold;"><B>Tetrahedron (Netgen)
</B></span>or click <img src="../image52.gif" width="26px" height="24px" border="0" class="img_whs3"> button in the toolbar.</p>
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<h1>Using SMESH </h1>
<p>&nbsp;</p>
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<h1>View update</h1>
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<h1>Viewing mesh info</h1>
<p class=TODO>To view the information on meshes:</p>
<p class=TODO>&nbsp;</p>
<p class="whs1">1. Select your mesh in the <span style="font-weight: bold;"><B>Object
Browser</B></span>.</p>
<p class="whs1">&nbsp;</p>
<p class="whs1">2. From the <span style="font-weight: bold;"><B>Mesh
</B></span><span>menu s</span>elect <span style="font-weight: bold;"><B>Mesh
infos </B></span>or click <img src="../image26.gif" width="21px" height="20px" border="0" class="img_whs2"> button of the toolbar. </p>
<p class="whs1">&nbsp;</p>
<p class="whs3">The following information will be displayed:</p>
<p class="whs3">&nbsp;</p>
<p class="whs3">&nbsp;</p>
<p class="whs4"><img src="../image27.gif" width="258px" height="282px" border="0" class="img_whs5"></p>
<p class="whs4">&nbsp;</p>
<p class="whs4">&nbsp;</p>
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<h1>Visualization modes</h1>
<p><img src="../i_blue.jpg" x-maintain-ratio="TRUE" width="30px" height="30px" border="0" class="img_whs1">In SMESH there are three visualization modes for displaying
meshes in the viewer:</p>
<p>&nbsp;</p>
<ul type="disc" class="whs2">
<li class=kadov-p><p><span style="font-weight: bold;"><B><a href="javascript:void(0);" id="a1" onMouseOver="if (parseInt(navigator.appVersion) >= 4 && typeof(BSPSPopupOnMouseOver) == 'function') BSPSPopupOnMouseOver(event);" class="BSSCPopup" onclick="BSSCPopup('wireframe.htm',520,325);return false;">Wireframe</a><script
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<h1>Warping</h1>
<p><img src="../i_blue.jpg" x-maintain-ratio="TRUE" width="30px" height="30px" border="0" class="img_whs1"> <span style="font-weight: bold;"><B>Warping</B></span> indicates
that a face is not planar and is applied only to 2D elements with 4 nodes.
This quality control criterion is based on a projection plane created
by:</p>
<p class="whs2">1. bisecting the four element edges, </p>
<p class="whs2">2. creating a point on the plane at the vector
average of the corners, where the x-axis extends from the point to the
bisector on edge 2. </p>
<p class="whs3">The plane normal is in the direction of the
cross product of the x-axis and the vector from the origin to the bisector
of edge 3. Every corner of the quad will then be a distance “h” from the
plane. The length of each half edge is measured and the shortest length
is assigned “l”. The warp angle is the arcsine of the ratio of the projection
height “h” to the half edge length “l”. </p>
<p>&nbsp;</p>
<p class="whs2"><img src="../image24.gif" width="496px" height="336px" border="0" class="img_whs4"></p>
<p class="whs2">&nbsp;</p>
<p class=TODO>&nbsp;</p>
<p class=TODO>To apply the Warping quality criterion to your mesh:</p>
<p class=TODO>&nbsp;</p>
<p class="whs2">1. Display your mesh in the viewer.</p>
<p class="whs2">&nbsp;</p>
<p class="whs2">2. Choose <span style="font-weight: bold;"><B>Quality
Controls &gt; Warp </B></span>or click <img src="../image39.gif" width="23px" height="23px" border="0" class="img_whs5"> button of the toolbar.
Your mesh will be displayed in the viewer with its elements colored according
to the applied mesh quality control criterion:</p>
<p class="whs2">&nbsp;</p>
<p class="whs2"><img src="../image9.jpg" width="467px" height="326px" border="0" class="img_whs6"></p>
<p class="whs2">&nbsp;</p>
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