<!doctype HTML public "-//W3C//DTD HTML 4.0 Frameset//EN"> <html> <head> <title>Smoothing</title> <meta http-equiv="content-type" content="text/html; charset=windows-1252"> <meta name="generator" content="RoboHelp by eHelp Corporation www.ehelp.com"> <link rel="stylesheet" href="../default_ns.css"><script type="text/javascript" language="JavaScript" title="WebHelpSplitCss"> <!-- if (navigator.appName !="Netscape") { document.write("<link rel='stylesheet' href='../default.css'>");} //--> </script> <style type="text/css"> <!-- img_whs1 { border:none; width:30px; height:30px; float:none; border-style:none; } p.whs2 { margin-left:40px; } img_whs3 { border:none; width:24px; height:25px; border-style:none; } img_whs4 { border:none; width:332px; height:396px; float:none; border-style:none; } ul.whs5 { list-style:disc; } p.whs6 { margin-left:40px; font-weight:normal; } p.whs7 { font-weight:bold; } p.whs8 { margin-left:80px; } img_whs9 { border:none; width:527px; height:281px; border-style:none; } img_whs10 { border:none; float:none; width:353px; height:235px; border-style:none; } img_whs11 { border:none; width:351px; height:235px; float:none; border-style:none; } --> </style><script type="text/javascript" language="JavaScript" title="WebHelpInlineScript"> <!-- function reDo() { if (innerWidth != origWidth || innerHeight != origHeight) location.reload(); } if ((parseInt(navigator.appVersion) == 4) && (navigator.appName == "Netscape")) { origWidth = innerWidth; origHeight = innerHeight; onresize = reDo; } onerror = null; //--> </script> <style type="text/css"> <!-- div.WebHelpPopupMenu { position:absolute; left:0px; top:0px; z-index:4; visibility:hidden; } p.WebHelpNavBar { text-align:right; } --> </style><script type="text/javascript" language="javascript1.2" src="../whmsg.js"></script> <script type="text/javascript" language="javascript" src="../whver.js"></script> <script type="text/javascript" language="javascript1.2" src="../whproxy.js"></script> <script type="text/javascript" language="javascript1.2" src="../whutils.js"></script> <script type="text/javascript" language="javascript1.2" src="../whtopic.js"></script> <script type="text/javascript" language="javascript1.2"> <!-- if (window.gbWhTopic) { if (window.setRelStartPage) { addTocInfo("MESH module\nModifying meshes\nSmoothing"); addButton("show",BTN_IMG,"Show","","","","",0,0,"../whd_show0.gif","../whd_show2.gif","../whd_show1.gif"); addButton("hide",BTN_IMG,"Hide","","","","",0,0,"../whd_hide0.gif","../whd_hide2.gif","../whd_hide1.gif"); } if (window.setRelStartPage) { setRelStartPage("../index.htm"); autoSync(1); sendSyncInfo(); sendAveInfoOut(); } } else if (window.gbIE4) document.location.reload(); //--> </script> </head> <body><script type="text/javascript" language="javascript1.2"> <!-- if (window.writeIntopicBar) writeIntopicBar(4); //--> </script> <h1>Smoothing</h1> <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 corners (nodes) to reduce distortions in these elements.</p> <p> </p> <p class=TODO>To apply smoothing to the elements of your mesh:</p> <p> </p> <p class="whs2">1. Display a mesh or a submesh in the 3D viewer.</p> <p class="whs2">2. In the <span style="font-weight: bold;"><B>Modification </B></span>menu select the <span style="font-weight: bold;"><B>Smoothing </B></span>item or click <img src="../image84.gif" width="24px" height="25px" border="0" class="img_whs3"> button in the toolbar. The <span style="margin-left: 40px;">dialog box contains the following fields which should be specified:</span></p> <p> </p> <p class="whs2"><img src="../pics/smoothing.png" x-maintain-ratio="TRUE" width="332px" height="396px" border="0" class="img_whs4"> </p> <ul type="disc" class="whs5"> <li class=kadov-p><p class="whs6"><span style="font-weight: bold;"><B>Id Elements </B></span>field allows to specify the elements which should be smoothed by selecting them in the 3D viewer (lock <span style="font-weight: bold;"><B>Shift </B></span>button to select several elements).</p></li> <ul type="disc" class="whs5"> <li class=kadov-p><p class="whs7">Select whole mesh, submesh or group - <span style="font-weight: normal;">smoothing is applied to the whole mesh or its part.</span></p></li> <li class=kadov-p><p><span style="font-weight: bold;"><B>Fixed nodes ids</B></span>: some nodes keep their location during smoothing. If a mesh is built on a geometry shape, the nodes built on geometrical edges are always fixed. If smoothing is applied to a part of a mesh then the boundary nodes of an elements set are also fixed. Any other nodes may be additionally fixed.</p></li> <li class=kadov-p><p><span style="font-weight: bold;"><B>Smoothing Method</B></span>:</p></li> <ul type="disc" class="whs5"> <li class=kadov-p><p><span style="font-weight: bold;"><B>Laplacian</B></span> smoothing pulls a node toward the center of surrounding nodes directly connected to that node along an element edge. Centroidal smoothing pulls a node toward the element-area-weighted centroid of the surrounding elements. Typically, the Laplacian method will produce the mesh with the least element distortion. It is also the faster method. </p></li> <li class=kadov-p><p><span style="font-weight: bold;"><B>Centroidal</B></span> smoothing usually produces a mesh that has more uniform element sizes. Both methods produce good results with "free" meshes.</p></li> </ul> </ul> </ul> <p> </p> <p class="whs8"><img src="../image83.gif" width="527px" height="281px" border="0" class="img_whs9"></p> <ul type="disc" class="whs5"> <li class=kadov-p><p class="whs6"><span style="font-weight: bold;"><B>Iteration limit: </B></span>both of the smoothing methods use an iterative procedure to converge toward a smoothed mesh. All nodes are smoothed according to one of the techniques shown above. Then the smoothing is reevaluated with the updated nodal locations. This process continues until the maximum number of iterations has been exceeded, or all elements has aspect ratio less or equal than the specified one.</p></li> <li class=kadov-p><p class="whs6"><span style="font-weight: bold;"><B>Max. aspect ratio</B></span>.</p></li> </ul> <p class="whs2"> </p> <p class="whs2">3. Click the <span style="font-weight: bold;"><B>Apply </B></span>or <span style="font-weight: bold;"><B>OK </B></span>button to confirm the operation.</p> <p class="whs2"> </p> <p class="whs2"><img src="../pics/smoothing1.png" x-maintain-ratio="TRUE" width="353px" height="235px" border="0" class="img_whs10"> <img src="../pics/smoothing2.png" x-maintain-ratio="TRUE" width="351px" height="235px" border="0" class="img_whs11"></p> <p> </p> <p> <span style="font-weight: bold;"><B>See Also</B></span> a sample TUI Script of a <a href="../modifying_meshes.htm#bookmark8">Smoothing</a> operation. </p> <p> </p> <p> </p> <script type="text/javascript" language="javascript1.2"> <!-- if (window.writeIntopicBar) writeIntopicBar(0); //--> </script> </body> </html>