1 <!doctype HTML public "-//W3C//DTD HTML 4.0 Frameset//EN">
\r
6 <title>Smoothing</title>
\r
7 <meta http-equiv="content-type" content="text/html; charset=windows-1252">
\r
8 <meta name="generator" content="RoboHelp by eHelp Corporation www.ehelp.com">
\r
9 <link rel="stylesheet" href="../default_ns.css"><script type="text/javascript" language="JavaScript" title="WebHelpSplitCss">
\r
11 if (navigator.appName !="Netscape")
\r
12 { document.write("<link rel='stylesheet' href='../default.css'>");}
\r
15 <style type="text/css">
\r
17 img_whs1 { border-style:none; border:none; width:30px; height:30px; float:none; }
\r
18 p.whs2 { margin-left:40px; }
\r
19 img_whs3 { border:none; width:24px; height:25px; }
\r
20 img_whs4 { border:none; width:319px; height:369px; }
\r
21 ul.whs5 { list-style:disc; }
\r
22 p.whs6 { margin-left:40px; font-weight:normal; }
\r
23 p.whs7 { font-weight:bold; }
\r
24 p.whs8 { margin-left:80px; }
\r
25 img_whs9 { border-style:none; border:none; width:527px; height:281px; }
\r
27 </style><script type="text/javascript" language="JavaScript" title="WebHelpInlineScript">
\r
30 if (innerWidth != origWidth || innerHeight != origHeight)
\r
33 if ((parseInt(navigator.appVersion) == 4) && (navigator.appName == "Netscape")) {
\r
34 origWidth = innerWidth;
\r
35 origHeight = innerHeight;
\r
41 <style type="text/css">
\r
43 div.WebHelpPopupMenu { position:absolute; left:0px; top:0px; z-index:4; visibility:hidden; }
\r
45 </style><script type="text/javascript" language="javascript1.2" src="../whmsg.js"></script>
\r
46 <script type="text/javascript" language="javascript" src="../whver.js"></script>
\r
47 <script type="text/javascript" language="javascript1.2" src="../whproxy.js"></script>
\r
48 <script type="text/javascript" language="javascript1.2" src="../whutils.js"></script>
\r
49 <script type="text/javascript" language="javascript1.2" src="../whtopic.js"></script>
\r
51 <body><script type="text/javascript" language="javascript1.2">
\r
53 if (window.gbWhTopic)
\r
55 if (window.addTocInfo)
\r
57 addTocInfo("MESH module\nModifying meshes\nSmoothing");
\r
58 addButton("show",BTN_TEXT,"Show","","","","",0,0,"","","");
\r
61 if (window.writeBtnStyle)
\r
64 if (window.writeIntopicBar)
\r
67 if (window.setRelStartPage)
\r
69 setRelStartPage("../smesh.htm");
\r
78 document.location.reload();
\r
83 <p><img src="../i_blue.jpg" x-maintain-ratio="TRUE" width="30px" height="30px" border="0" class="img_whs1"> Smoothing is used to adjust the locations of element
\r
84 corners (nodes) to reduce distortions in these elements.</p>
\r
88 <p class=TODO>To apply smoothing to the elements of your mesh:</p>
\r
90 <p class=TODO> </p>
\r
92 <p class="whs2">1. Display a mesh or a submesh in the 3D
\r
95 <p class="whs2"> </p>
\r
97 <p class="whs2">2. In the <span style="font-weight: bold;"><B>Modification
\r
98 </B></span>menu select the <span style="font-weight: bold;"><B>Smoothing </B></span>item
\r
99 or click <img src="../image84.gif" width="24px" height="25px" border="0" class="img_whs3"> button in the toolbar. The following dialog box
\r
104 <p class="whs2"><img src="../image85.gif" width="319px" height="369px" border="0" class="img_whs4"></p>
\r
106 <p class="whs2"> </p>
\r
108 <p class="whs2">This dialog box contains the following fields
\r
109 which should be specified:</p>
\r
113 <ul type="disc" class="whs5">
\r
115 <li class=kadov-p><p class="whs6"><span
\r
116 style="font-weight: bold;"><B>Id Elements </B></span><span>field allows to specify
\r
117 the elements which should be smoothed by selecting them in the 3D viewer.
\r
118 Note: to select several elements press </span><span style="font-weight: bold;"><B>Shift
\r
119 </B></span><span>button.</span></p></li>
\r
121 <ul type="disc" class="whs5">
\r
123 <li class=kadov-p><p class="whs7">Smoothing is applied
\r
124 to the whole mesh or its part</p></li>
\r
126 <li class=kadov-p><p><span style="font-weight: bold;"><B>Fixed nodes
\r
127 ids</B></span>: some nodes keep their location during smoothing. If a mesh
\r
128 is built on a geometry shape, the nodes built on geometrical edges are
\r
129 always fixed. If smoothing is applied to a part of a mesh then the boundary
\r
130 nodes of an elements set are also fixed. Any other nodes may be additionally
\r
133 <li class=kadov-p><p> </p></li>
\r
135 <li class=kadov-p><p><span style="font-weight: bold;"><B>Smoothing
\r
136 method</B></span>:</p></li>
\r
138 <ul type="disc" class="whs5">
\r
140 <li class=kadov-p><p><span style="font-weight: bold;"><B>Laplacian</B></span>
\r
141 smoothing pulls a node toward the center of surrounding nodes directly
\r
142 connected to that node along an element edge. Centroidal smoothing pulls
\r
143 a node toward the element-area-weighted centroid of the surrounding elements.
\r
144 Typically, the Laplacian method will produce the mesh with the least element
\r
145 distortion. It is also the faster method. </p></li>
\r
147 <li class=kadov-p><p><span style="font-weight: bold;"><B>Centroidal</B></span>
\r
148 smoothing usually produces a mesh that has more uniform element sizes.
\r
149 Both methods produce good results with "free" meshes.</p></li>
\r
154 <p class="whs8"><img src="../image83.gif" width="527px" height="281px" border="0" class="img_whs9"></p>
\r
156 <ul type="disc" class="whs5">
\r
158 <li class=kadov-p><p class="whs6"><span
\r
159 style="font-weight: bold;"><B>Iteration limit: </B></span>both of the smoothing
\r
160 methods use an iterative procedure to converge toward a smoothed mesh.
\r
161 All nodes are smoothed according to one of the techniques shown above.
\r
162 Then the smoothing is reevaluated with the updated nodal locations. This
\r
163 process continues until the maximum number of iterations has been exceeded,
\r
164 or all elements has aspect ratio less or equal than the specified one.</p></li>
\r
166 <li class=kadov-p><p class="whs6"><span
\r
167 style="font-weight: bold;"><B>Max. aspect ratio</B></span>.</p></li>
\r
170 <p class="whs2"> </p>
\r
172 <p class="whs2">3. Click the <span style="font-weight: bold;"><B>Apply
\r
173 </B></span>or <span style="font-weight: bold;"><B>OK </B></span>button to confirm
\r
182 <script type="text/javascript" language="javascript1.2">
\r
184 if (window.writeIntopicBar)
\r
185 writeIntopicBar(0);
\r