mirror of
https://git.salome-platform.org/gitpub/modules/smesh.git
synced 2024-11-16 02:28:34 +05:00
213 lines
8.0 KiB
HTML
Executable File
213 lines
8.0 KiB
HTML
Executable File
<!doctype HTML public "-//W3C//DTD HTML 4.0 Frameset//EN">
|
|
|
|
<html>
|
|
|
|
<head>
|
|
<title>Aspect Ratio</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:120px; height:56px; border-style:none; }
|
|
ul.whs4 { list-style:disc; }
|
|
img_whs5 { border:none; width:158px; height:110px; float:none; border-style:none; }
|
|
img_whs6 { border:none; width:120px; height:48px; float:none; border-style:none; }
|
|
img_whs7 { border:none; width:234px; height:96px; float:none; border-style:none; }
|
|
p.whs8 { margin-left:0px; }
|
|
p.whs9 { margin-left:36px; }
|
|
img_whs10 { border:none; width:622px; height:412px; float:none; border-style:none; }
|
|
p.whs11 { margin-left:80px; }
|
|
img_whs12 { border:none; width:25px; height:24px; border-style:none; }
|
|
img_whs13 { border:none; width:439px; height:313px; border-style:none; }
|
|
-->
|
|
</style><script type="text/javascript" language="JavaScript">
|
|
<!--
|
|
if ((navigator.appName == "Netscape") && (parseInt(navigator.appVersion) == 4))
|
|
{
|
|
var strNSS = "<style type='text/css'>";
|
|
strNSS += "p.whs8 {margin-left:1pt; }";
|
|
strNSS +="</style>";
|
|
document.write(strNSS);
|
|
}
|
|
//-->
|
|
</script>
|
|
<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\nQuality controls\nAspect ratio");
|
|
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>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 reveals the degree of conformity of
|
|
a mesh element to the regular element of its type (with all edges having
|
|
the same length). The
|
|
criterion can be defined as </p>
|
|
|
|
<p class="whs2"><img src="../image142.gif" width="120px" height="56px" border="0" class="img_whs3">where <span style="font-weight: bold; font-style: italic;"><I><B>К</B></I></span>
|
|
is the considered element of the mesh, <span style="font-weight: bold; font-style: italic;"><I><B>h</B></I></span><span
|
|
style="vertical-align: Sub;
|
|
font-weight: bold;
|
|
font-style: italic;"><I><B>max</B></I></span> is the diameter of the element
|
|
К (i.e. the length of the longest edge), <span style="font-weight: bold; font-style: italic;"><I><B>р</B></I></span><span
|
|
style="vertical-align: Sub;
|
|
font-weight: bold;
|
|
font-style: italic;"><I><B>к</B></I></span> is the radius of the sphere
|
|
inscribed in the element K, and <span style="font-weight: bold; font-style: italic;"><I><B>a</B></I></span>
|
|
is a normalisation value chosen so that <span style="font-weight: bold; font-style: italic;"><I><B>Q</B></I></span><span
|
|
style="vertical-align: Sub;
|
|
font-weight: bold;
|
|
font-style: italic;"><I><B>K</B></I></span> = 1 when К is an equilateral
|
|
simplex. </p>
|
|
|
|
<p class="whs2"> </p>
|
|
|
|
<p>The value of <span style="font-weight: bold; font-style: italic;"><I><B>Q</B></I></span><span
|
|
style="vertical-align: Sub;
|
|
font-weight: bold;
|
|
font-style: italic;"><I><B>K</B></I></span> varies between 1 and +oo and the
|
|
closer it is to 1, the better the element К is. </p>
|
|
|
|
<ul type="disc" class="whs4">
|
|
|
|
<li class=kadov-p><p>The <span style="font-weight: bold;"><B>Aspect Ratio</B></span>
|
|
of a <span style="font-weight: bold;"><B>triangle</B></span> 2D element consisting
|
|
of 3 nodes is calculated by the formula:</p></li>
|
|
</ul>
|
|
|
|
<p> </p>
|
|
|
|
<p class="whs2"><img src="../pics/image21.gif" x-maintain-ratio="TRUE" width="158px" height="110px" border="0" class="img_whs5"></p>
|
|
|
|
<p class="whs2"><img src="../pics/image23.gif" x-maintain-ratio="TRUE" width="120px" height="48px" border="0" class="img_whs6"> ,</p>
|
|
|
|
<p class="whs2"> </p>
|
|
|
|
<p class="whs2">where <span style="font-weight: bold; font-style: italic;"><I><B>р</B></I></span><span
|
|
style="vertical-align: Sub;
|
|
font-weight: bold;
|
|
font-style: italic;"><I><B>к</B></I></span> is the half perimeter of the
|
|
element K and <span style="font-weight: bold; font-style: italic;"><I><B>S</B></I></span><span
|
|
style="vertical-align: Sub;
|
|
font-weight: bold;
|
|
font-style: italic;"><I><B>K</B></I></span> is its surface.</p>
|
|
|
|
<p class="whs2"> </p>
|
|
|
|
<p class="whs2"><img src="../pics/image27.gif" x-maintain-ratio="TRUE" width="234px" height="96px" border="0" class="img_whs7"></p>
|
|
|
|
<p class="whs8"> </p>
|
|
|
|
<ul type="disc" class="whs4">
|
|
|
|
<li class=kadov-p><p class="whs8">The <span style="font-weight: bold;"><B>Aspect
|
|
Ratio</B></span> of a <span style="font-weight: bold;"><B>quadrangle</B></span> 2D
|
|
element consisting of 4 nodes is the worst (i.e. the greatest) value from
|
|
all triangles which can be built taking three nodes of the quadrangle.
|
|
There are four triangles to consider: </p></li>
|
|
</ul>
|
|
|
|
<p class="whs9"><img src="../pics/image138.gif" x-maintain-ratio="TRUE" width="622px" height="412px" border="0" class="img_whs10"></p>
|
|
|
|
<p class="whs9">Note, that the Aspect Ratio criterion is
|
|
applicable to 2D mesh elements only. For 3D elements we use the <a href="../aspect_ratio_3d.htm">Aspect
|
|
Ratio 3D</a> criterion. </p>
|
|
|
|
<p class="whs11"> </p>
|
|
|
|
<p class=TODO>To apply the Aspect Ratio quality criterion to your mesh:</p>
|
|
|
|
<p class=TODO> </p>
|
|
|
|
<p class="whs2">1. Display your mesh in the viewer.</p>
|
|
|
|
<p class="whs2"> </p>
|
|
|
|
<p class="whs2">2. Choose <span style="font-weight: bold;"><B>Controls
|
|
> Aspect Ratio </B></span>or click <img src="../image37.gif" width="25px" height="24px" border="0" class="img_whs12"> 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"> </p>
|
|
|
|
<p class="whs2"><img src="../image94.jpg" width="439px" height="313px" border="0" class="img_whs13"></p>
|
|
|
|
<p class="whs2"> </p>
|
|
|
|
<p class="whs8"><span style="font-weight: bold;"><B>See Also</B></span>
|
|
a sample TUI Script of an <a href="../quality_controls.htm#bookmark8">Aspect
|
|
Ratio quality control</a> operation. </p>
|
|
|
|
<p> </p>
|
|
|
|
<script type="text/javascript" language="javascript1.2">
|
|
<!--
|
|
if (window.writeIntopicBar)
|
|
writeIntopicBar(0);
|
|
//-->
|
|
</script>
|
|
</body>
|
|
</html>
|