\page area_page Area
\n \b Area mesh quality control is based on the algorithm of area
-calculation of meshing elements. It can be applied to meshes
-consisting of 2D meshing elements with 3 and 4 nodes (triangles and
-quadrangles).
+calculation of mesh faces.
<em>To apply the Area quality control to your mesh:</em>
<ol>
\image html image35.png
<center><em>"Area" button</em></center>
-Your mesh will be displayed in the viewer with its elements colored
+Your mesh will be displayed in the viewer with its faces colored
according to the applied mesh quality control criterion:
\image html image5.jpg
\page borders_at_multi_connection_page Borders at multi-connection
-\n This mesh quality control highlights borders of faces consisting of
-edges belonging to several faces. The amount of faces is specified by
-user.
+\n This mesh quality control highlights segments according to number
+of elements, faces and volumes, the segment belongs to.
\image html image151.gif
<br><b>See Also</b> a sample TUI Script of a
\ref tui_borders_at_multiconnection "Borders at Multi-Connection quality control" operation.
-*/
\ No newline at end of file
+*/
\page borders_at_multi_connection_2d_page Borders at multi-connection 2D
-\n This mesh quality control highlights borders of elements of mesh,
-consisting of edges belonging to several elements of mesh.
+\n This mesh quality control highlights borders of faces (links
+between nodes) according to number of faces the link belongs to.
\image html image127.gif
<br><b>See Also</b> a sample TUI Script of a
\ref tui_borders_at_multiconnection_2d "Borders at Multi-Connection quality control" operation.
-*/
\ No newline at end of file
+*/
<em>To produce a conversion:</em>
<ol>
<li>Select a mesh or a sub-mesh in the Object Browser or in the
-Viewer.</li>
+ Viewer.</li>
<li>From the Modification menu or from the contextual menu in the
Object Browser choose <b> Convert to/from Quadratic Mesh</b> item,
or click <em>"Convert to/from quadratic"</em> button in the
\page extrusion_along_path_page Extrusion along Path
\n In principle, <b>Extrusion along Path</b> works in the same way
-as \ref extrusion_page "Extrusion", the main difference is that we define not a vector,
-but a path of extrusion which must be a 1D mesh or 1D sub-mesh.
+as \ref extrusion_page "Extrusion", the main difference is that we
+define not a vector, but a path of extrusion which must be an 1D mesh
+or 1D sub-mesh.
To get an idea of how this algorithm works, examine several examples,
starting from the most simple case of extrusion along a straight edge.
In the examples the sample mesh will be extruded along different
mesh.</center>
\image html circle_angles_after.png
-<center>The same, but using angles {45, -45, 45, -45, 45, -45, 45,
--45}</center>
+<center>The same, but using angles {45, -45, 45, -45, 45, -45, 45, -45}
+</center>
<br><em>To use Extrusion along Path:</em>
<ol>
of following means:
<ul>
<li><b>Select the whole mesh, sub-mesh or group</b> activating this
- checkbox.</li>
+ check-box.</li>
<li>Choose mesh elements with the mouse in the 3D Viewer. It is
possible to select a whole area with a mouse frame.</li>
<li>Input the element IDs directly in <b>Node IDs</b>, <b>Edge
<li>Define the \b Path along which the elements will be extruded.<br>
Path definition consists of several elements:
<ul>
- <li><b>Mesh or submesh</b> - 1D mesh or sub-mesh, along which
+ <li><b>Mesh or sub-mesh</b> - 1D mesh or sub-mesh, along which
proceeds the extrusion.</li>
- <li><b>Start node</b> - the start node. It is used to define
- the direction of extrusion. </li>
+ <li><b>Start node</b> - the start node of the Path. It is used
+ to define the direction of extrusion. </li>
</ul>
</li>
<li>If you activate <b>Generate Groups</b> check-box, the <em>result elements</em>
\page free_borders_page Free borders
\n This mesh quality control highlights borders of faces consisting of
-edges belonging to one face only.
+1D elements (segments) belonging to one face only.
\image html free_borders1.png
\page free_edges_page Free edges
-\n This mesh quality control highlights borders of elements of mesh
-consisting of edges belonging to one element of mesh only.
+\n This mesh quality control highlights borders of faces
+consisting of node links belonging to one face only.
\image html free_edges.png
<center>In this picture some elements of mesh have been deleted and
<br><b>See Also</b> a sample TUI Script of a
\ref tui_free_edges "Free Edges quality control" operation.
-*/
\ No newline at end of file
+*/
\page length_2d_page Length 2D
\n This quality control criterion consists of calculation of length of
-the edges combining the meshing elements (triangles and quadrangles)
-of your mesh.
+the links between corner nodes of mesh faces.
<em>To apply the Length 2D quality criterion to your mesh:</em>
<ol>
\image html image34.png
<center><em>"Length 2D" button</em></center>
-Your mesh will be displayed in the viewer with its elements colored according to the applied mesh quality control criterion:
+Your mesh will be displayed in the viewer with links colored according
+to the applied mesh quality control criterion:
\image html length2d.png
</li>
<br><b>See Also</b> a sample TUI Script of a
\ref tui_length_2d "Length 2D quality control" operation.
-*/
\ No newline at end of file
+*/
\n "Create boundary elements" dialog allows creation of boundary elements
of two types.
<ul>
-<li><b>2D from 3D</b> creates mesh faces on free facets of volume elements</li>
-<li><b>1D from 2D</b> creates mesh edges on free edges of mesh faces</li>
+<li><b>2D from 3D</b> creates missing mesh faces on free facets of volume elements</li>
+<li><b>1D from 2D</b> creates missing mesh edges on free edges of mesh faces</li>
</ul>
Here a <em>free facet</em> means a facet shared by only one volume, a <em>free edge</em>
means an edge shared by only one mesh face.
<ul>
<li><b>This mesh</b> adds elements in the selected mesh.</li>
<li><b>New mesh</b> adds elements to a new mesh. The new mesh appears
- in the Object Browser with the name that you can change in the adjacent box. </li>
+ in the Object Browser with the name that you can change in the adjacent box. </li>
</ul></li>
<li>activate <b>Copy source mesh</b> checkbox to copy all elements of
the selected mesh to the new mesh, else the new mesh will contain only
-# The first line indicates the total number of pattern nodes (N).
-# The next N lines describe nodes coordinates. Each line contains 2
-node coordinates for a 2D pattern or 3 node coordinates for a 3D pattern.
-Note, that node coordinates of a 3D pattern can be defined only by relative values in range [0;1].
+ node coordinates for a 2D pattern or 3 node coordinates for a 3D pattern.
+ Note, that node coordinates of a 3D pattern can be defined only by
+ relative values in range [0;1].
-# The key-points line contains the indices of the nodes to be mapped on geometrical
-vertices (for a 2D pattern only). Index n refers to the node described
-on the n-th line of section 2. The index of the first node zero. For a 3D pattern the key points are not specified.
+ vertices (for a 2D pattern only). Index n refers to the node described
+ on the n-th line of section 2. The index of the first node is
+ zero. For a 3D pattern the key points are not specified.
-# The remaining lines describe nodal connectivity of elements, one line
-for each element. Each line holds indices of nodes forming an element.
-Index n refers to the node described on the n-th line of section 2.
-The first node index is zero. There must be 3 or 4 indices on each
-line for a 2D pattern (only 2d elements are allowed) and 4, 5, 6 or 8
-indices for a 3D pattern (only 3d elements are allowed).
+ for each element. Each line holds indices of nodes forming an element.
+ Index n refers to the node described on the n-th line of section 2.
+ The first node index is zero. There must be 3 or 4 indices on each
+ line for a 2D pattern (only liner 2d elements are allowed) and 4, 5, 6 or 8
+ indices for a 3D pattern (only linear 3d elements are allowed).
A 2D pattern must contain at least one element and at least one
key-point. All key-points must lie on boundaries.
<ul>
<li> \b Pattern, which can be loaded from .smp pattern file previously
-created manually or generated automatically from an existing mesh or submesh.</li>
+ created manually or generated automatically from an existing mesh or
+ sub-mesh.</li>
<li> \b Face with the number of vertices equal to the number of
- key-points in the pattern; the number of key-points on internal
- boundaries of the pattern must also be equal to the number of vertices
- on internal boundaries of the face;</li>
+ key-points in the pattern; the number of key-points on internal
+ boundaries of the pattern must also be equal to the number of vertices
+ on internal boundaries of the face;</li>
<li> \b Vertex to which the first key-point should be mapped;</li>
</ul>
+
Alternatively, it is possible to select <b>Refine selected mesh elements</b>
check-box and apply the pattern to <ul>
-<li> <b>Mesh Face</b> instead of a geometric Face</li>
-<li> and select \b Node instead of vertex.</li>
+ <li> <b>Mesh Face</b> instead of a geometric Face</li>
+ <li> and select \b Node instead of vertex.</li>
</ul>
+
Additionally it is possible to: <ul>
<li> <b>Reverse the order of key-points</b>. By default, the vertices of
- a face are ordered counterclockwise.</li>
+ a face are ordered counterclockwise.</li>
<li> Enable to <b> Create polygons near boundary</b> </li>
<li> and <b>Create polyhedrons near boundary</b></li>
</ul>
In this dialog you should specify:
<ul>
<li> \b Pattern, which can be loaded from .smp pattern file previously
-created manually or generated automatically from an existing mesh or submesh.</li>
+ created manually or generated automatically from an existing mesh or
+ sub-mesh.</li>
<li> A 3D block (Solid) object.</li>
<li> Two vertices that specify the order of nodes in the resulting
mesh.</li>
</ul>
+
Alternatively, it is possible to select <b>Refine selected mesh elements</b>
-checkbox and apply the pattern to
+check-box and apply the pattern to
<ul>
-<li> One or several <b>Mesh volumes</b> instead of a geometric 3D
-object</li>
-<li> and select two /b Nodes instead of vertices.</li>
+ <li> One or several <b>Mesh volumes</b> instead of a geometric 3D object</li>
+ <li> and select two /b Nodes instead of vertices.</li>
</ul>
Additionally it is possible to:
<ul>
</ul>
<br>
-<h3> Automatic Generation </h3>
+<h3> Automatic Pattern Generation</h3>
To generate a pattern automatically from an existing mesh or sub-mesh,
click \b New button.
In this dialog you should specify:
<ul>
-<li> <b>Mesh or Submesh</b>, which is a meshed geometrical face (for a
-2D pattern) or a meshed solid (for a 3D pattern). Mesh nodes lying on
+<li> <b>Mesh or Sub-mesh</b>, which is a meshed geometrical face (for a
+2D pattern) or a meshed solid block (for a 3D pattern). Mesh nodes lying on
the face vertices become key-points of the pattern. </li>
<li> A custom <b>Pattern Name </b> </li>
<li>Additionally, for a 2D pattern you may choose to
vertices. The node position on the edge depends on its distance from the
key-points.
\image html image96.gif
-- The cordinates of a non-boundary node in the parametric space of the face
- are defined in the following way. In the parametric space of the
+- The coordinates of a non-boundary node in the parametric space of the face
+ are defined in the following way. In the parametric space of the
pattern, the node lies at the intersection of two iso-lines. Both
of them intersect the pattern boundary at two
points at least. If the mapped positions of boundary nodes are known, it is
- possible to find, where the points at the intersection of isolines
+ possible to find, where the points at the intersection of iso-lines
and boundaries are mapped. Then it is possible to find
- the direction of mapped isolinesection and, filally, the poitions of
+ the direction of mapped iso-line section and, finally, the positions of
two nodes on two mapped isolines. The eventual mapped
- position of the node is found as an average of the positions on mapped
- isolines.
+ position of the node is found as an average of the positions on mapped
+ iso-lines.
\image html image97.gif
The 3D algorithm is similar.
\page smoothing_page Smoothing
-\n Smoothing is used to adjust the locations of element corners
-(nodes) to reduce distortions in these elements.
+\n Smoothing is used to improve quality of 2D mesh by adjusting the
+locations of element corners (nodes). \note Depending on smoothing
+method and mesh geometry smoothing can decrease quality of elements.
<em>To apply smoothing to the elements of your mesh:</em>
<ol>
<ul>
<li>specify the IDs of the elements which will be smoothed:
<ul>
-<li><b>Select the whole mesh, submesh or group</b> activating this
-checkbox; or</li>
+<li><b>Select the whole mesh, sub-mesh or group</b> activating this
+ check-box; or</li>
<li>choose mesh elements with the mouse in the 3D Viewer. It is
-possible to select a whole area with a mouse frame; or</li>
-<li>input the element IDs directly in <b>ID Elements</b> field. The selected elements will be highlighted in the
-viewer; or</li>
-<li>apply Filters. <b>Set filter</b> button allows to apply a filter to the selection of elements. See more
-about filters in the \ref selection_filter_library_page "Selection filter library" page.</li>
+ possible to select a whole area with a mouse frame; or</li>
+<li>input the element IDs directly in <b>ID Elements</b> field. The
+ selected elements will be highlighted in the viewer; or</li>
+<li>apply Filters. <b>Set filters</b> button allows to apply a filter
+ to the selection of elements. See more about filters in the
+ \ref filtering_elements "Selection filter library" page.</li>
</ul>
</li>
-<li>define the <b>Fixed nodes ids</b> that should remain at their location during
-smoothing. If a mesh is built on a shape, the nodes built on its
-geometric edges are always fixed. If the smoothing is applied to a part
-of the mesh, the nodes of boundary elements are also
-fixed. It is possible to additionally fix any other nodes. The fixed nodes can be
-selected manually or by filters, just as the smoothed elements.</li>
+<li>define the <b>Fixed nodes ids</b> that should remain at their
+ location during smoothing. If a mesh is built on a shape, the nodes
+ built on its geometric edges are always fixed. If the smoothing is
+ applied to a part of the mesh (a set of element), the nodes on
+ boundary of the element set are also fixed. It is possible to
+ additionally fix any other nodes. The fixed nodes can be selected
+ manually or by filters, just as the smoothed elements.</li>
<li>choose the <b>Smoothing Method:</b>
<ul>
<li>\b Laplacian smoothing pulls a node toward the center of
<li>\b Centroidal smoothing pulls a node toward the
element-area-weighted centroid of the surrounding elements. </li>
-Typically, the Laplacian method will produce the mesh with the least element
-distortion. It is also the fastest method. Centroidal smoothing usually
-produces a mesh with more uniform element sizes. Both methods
-produce good results with "free" meshes.</li>
+Laplacian method will produce the mesh with the least element
+edge length. It is also the fastest method. Centroidal smoothing
+produces a mesh with more uniform element sizes.</li>
</ul>
\image html image83.gif
</li>
-<li>specify the <b>Iteration limit</b>. Both smoothing methods
-iterate through a number of steps to produce the resulting smoothed
-mesh. At each new step the smoothing is reevaluated with the updated nodal locations. This
-process continues till the limit of iterations has been
-exceeded, or till the aspect ratio of all element is less than or equal to the
-specified one.</li>
-<li>specify the <b>Max. aspect ratio</b> - the target mesh quality at which the
-smoothing algorithm should stop the iterations.</li>
-<li>activate <b>in parametric space</b> checkbox if it is necessary to
-to improve the shape of faces in the parametric space
-of geometrical surfaces on which they are generated, else the shape of
-faces in the 3D space is improved. </li>
+<li>specify the <b>Iteration limit</b>. Both smoothing methods iterate
+ through a number of steps to produce the resulting smoothed mesh. At
+ each new step the smoothing is reevaluated with the updated nodal
+ locations. This process continues till the limit of iterations has
+ been exceeded, or till the aspect ratio of all element is less than
+ or equal to the specified one.</li>
+<li>specify the <b>Max. aspect ratio</b> - the target mesh quality at
+ which the smoothing algorithm should stop the iterations.</li>
+<li>activate <b>in parametric space</b> check-box if it is necessary to
+ improve the shape of faces in the parametric space of geometrical
+ surfaces on which they are generated, else the shape of faces in the
+ 3D space is improved that is suitable for <b>planar meshes only</b>. </li>
</ul>
</li>
<li>Click \b Apply or <b> Apply and Close</b> button to confirm the operation.</li>
\page taper_page Taper
\n \b Taper 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.
+of two triangles separated by a diagonal within a quadrilateral face.
- <b><center>JA=0.25 * (A1 + A2 + A3 + A4)
- <br> TAPER= MAX(|A1/JA - 1|, |A2/JA - 1|, |A3/JA - 1|, |A4/JA - 1|)</center></b>
+ <b><center>JA = 0.25 * (A1 + A2 + A3 + A4)
+ <br> TAPER = MAX(|A1/JA - 1|, |A2/JA - 1|, |A3/JA - 1|, |A4/JA - 1|)</center></b>
<br><em>To apply the Taper quality criterion to your mesh:</em>
