smesh/doc/salome/gui/SMESH/files/arithmetic_1d.htm
2005-11-28 09:57:47 +00:00

255 lines
11 KiB
HTML
Executable File

<!doctype HTML public "-//W3C//DTD HTML 4.0 Frameset//EN">
<html>
<head>
<title>Arithmetic 1D</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:332px; height:238px; float:none; border-style:none; }
img_whs2 { border:none; width:309px; height:316px; float:none; }
p.whs3 { margin-left:0px; }
img_whs4 { border:none; width:332px; height:212px; float:none; border-style:none; }
img_whs5 { border:none; width:267px; height:339px; float:none; }
p.whs6 { font-weight:bold; }
img_whs7 { border:none; width:367px; height:224px; border-style:none; float:right; }
img_whs8 { border:none; width:252px; height:243px; float:none; }
p.whs9 { font-weight:bold; margin-left:40px; }
img_whs10 { border:none; width:431px; height:233px; border-style:none; float:right; }
img_whs11 { border:none; width:395px; height:387px; float:none; }
img_whs12 { border:none; width:332px; height:264px; float:none; border-style:none; }
img_whs13 { border:none; width:333px; height:386px; float:none; border-style:none; }
img_whs14 { border:none; width:333px; height:285px; float:none; border-style:none; }
img_whs15 { border:none; width:287px; height:305px; float:none; }
-->
</style><script type="text/javascript" language="JavaScript">
<!--
if ((navigator.appName == "Netscape") && (parseInt(navigator.appVersion) == 4))
{
var strNSS = "<style type='text/css'>";
strNSS += "p.whs3 {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; }
-->
</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>
</head>
<body><script type="text/javascript" language="javascript1.2">
<!--
if (window.gbWhTopic)
{
if (window.addTocInfo)
{
addTocInfo("MESH module\nCreating meshes\nDefining hypotheses\n1D Meshing Hypotheses");
addButton("show",BTN_TEXT,"Show","","","","",0,0,"","","");
}
if (window.writeBtnStyle)
writeBtnStyle();
if (window.writeIntopicBar)
writeIntopicBar(1);
if (window.setRelStartPage)
{
setRelStartPage("../smesh.htm");
autoSync(1);
sendSyncInfo();
sendAveInfoOut();
}
}
else
if (window.gbIE4)
document.location.reload();
//-->
</script>
<h1>1D Meshing Hypotheses</h1>
<h3>Arithmetic 1D hypothesis</h3>
<p><span style="font-weight: bold;"><B>Arithmetic 1D</B></span> hypothesis allows
to split edges into segments with a length that changes in arithmetic
progression (Lk = Lk-1 + d) beginning from a given starting length and
up to a given end length.</p>
<p>&nbsp;</p>
<p><img src="../pics/a-arithmetic1d.png" x-maintain-ratio="TRUE" width="332px" height="238px" border="0" class="img_whs1"> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<img src="../pics/b-ithmetic1d.png" x-maintain-ratio="TRUE" width="309px" height="316px" border="0" class="img_whs2"></p>
<p>&nbsp;</p>
<p class="whs3"><span style="font-weight: bold;"><B>See Also</B></span>
a sample TUI Script of a <a href="../defining_hypotheses_tui.htm#bookmark">Defining
Arithmetic 1D hypothesis</a> operation. &nbsp;</p>
<h3><span style="font-weight: bold;"><B>Deflection</B></span> 1D hypothesis</h3>
<p><span style="font-weight: bold;"><B>Deflection ID </B></span>hypothesis can
be applied for meshing curvilinear edges composing your geometrical object.
It uses only one parameter: the value of deflection. &nbsp;</p>
<p>A geometrical edge is divided into equal segments. The maximum distance
between a point on the edge within a segment and the line connecting the
ends of the segment should not exceed the specified value of deflection
. Then mesh nodes are constructed at end segment locations and 1D mesh
elements are constructed on segments.</p>
<p>&nbsp;</p>
<p><img src="../pics/a-deflection1d.png" x-maintain-ratio="TRUE" width="332px" height="212px" border="0" class="img_whs4"> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<img src="../pics/b-flection1d.png" x-maintain-ratio="TRUE" width="267px" height="339px" border="0" class="img_whs5"></p>
<p>&nbsp;</p>
<p class="whs3"><span style="font-weight: bold;"><B>See Also</B></span>
a sample TUI Script of a <a href="../defining_hypotheses_tui.htm#bookmark9">Defining
Deflection 1D hypothesis</a> operation. &nbsp;</p>
<p>&nbsp;</p>
<p class="whs6"><img src="../image41.gif" x-maintain-ratio="TRUE" width="367px" height="224px" align="right" border="0" class="img_whs7"></p>
<h3>Average Length hypothesis</h3>
<p><span style="font-weight: bold;"><B>Average 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><img src="../pics/a-averagelength.png" x-maintain-ratio="TRUE" width="332px" height="212px" border="0" class="img_whs4"> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<img src="../pics/b-erage_length.png" x-maintain-ratio="TRUE" width="252px" height="243px" border="0" class="img_whs8"></p>
<p>&nbsp;</p>
<p class="whs3"><span style="font-weight: bold;"><B>See Also</B></span>
a sample TUI Script of a <a href="../defining_hypotheses_tui.htm#bookmark3">Defining
Average Length hypothesis</a> operation. &nbsp;</p>
<p>&nbsp;</p>
<p class="whs9"><img src="../image46.gif" x-maintain-ratio="TRUE" width="431px" height="233px" align="right" border="0" class="img_whs10"></p>
<h3>Number of segments hypothesis </h3>
<p><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="whs3">You can set the type of distribution for this
hypothesis in the <span style="font-weight: bold;"><B>Hypothesis Construction</B></span>
dialog bog : </p>
<p class="whs3">&nbsp;</p>
<p class="whs3"><span style="font-weight: bold;"><B>Equidistant
Distribution</B></span> - all segments will have the same length</p>
<p><img src="../pics/a-nbsegments1.png" x-maintain-ratio="TRUE" width="332px" height="238px" border="0" class="img_whs1"> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<img src="../pics/b-mberofsegments.png" x-maintain-ratio="TRUE" width="395px" height="387px" border="0" class="img_whs11"></p>
<p>&nbsp;</p>
<p class="whs6">Scale Distribution - <span style="font-weight: normal;">each
next segment differs from the previous according to the formula:</span>
A<span style="vertical-align: Sub;">i+1</span> = A<span style="vertical-align: Sub;">i
</span>* k, <span style="font-weight: normal;">where</span> k <span style="font-weight: normal;">is</span>
Scale Factor </p>
<p class="whs6"><img src="../pics/a-nbsegments2.png" x-maintain-ratio="TRUE" width="332px" height="264px" border="0" class="img_whs12">\</p>
<p class="whs6">&nbsp;</p>
<p class="whs6">Distribution with Table Density - <span style="font-weight: normal;">you
input a number of pairs</span> t - F(t) <span style="font-weight: normal;">and
the program computes the formula, which will rule the change of length
of segments.</span></p>
<p class="whs6">&nbsp;</p>
<p class="whs6"><img src="../pics/a-nbsegments3.png" x-maintain-ratio="TRUE" width="333px" height="386px" border="0" class="img_whs13"></p>
<p class="whs6">&nbsp;</p>
<p class="whs6">Distribution with Analytic Density - <span
style="font-weight: normal;">you input the formula, which will rule the
change of length of segments</span></p>
<h3><img src="../pics/a-nbsegments4.png" x-maintain-ratio="TRUE" width="333px" height="285px" border="0" class="img_whs14"></h3>
<p class="whs3"><span style="font-weight: bold;"><B>See Also</B></span>
a sample TUI Script of a <a href="../defining_hypotheses_tui.htm#bookmark9">Defining
Number of Segments hypothesis</a> operation. &nbsp;</p>
<h3>&nbsp;</h3>
<h3>Start and End Length hypothesis.</h3>
<p><span style="font-weight: bold;"><B>Start and End Length</B></span> hypothesis
allows to divide a geometrical edge into segments so that the first and
the last segments have a specified length. The length of each but the
first segment differs from length of the previous one by a constant factor.
Then mesh nodes are constructed at segment ends location and 1D mesh elements
are constructed on them.</p>
<p>&nbsp;</p>
<p><img src="../pics/a-startendlength.png" x-maintain-ratio="TRUE" width="332px" height="238px" border="0" class="img_whs1"> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<img src="../pics/b-art_end_length.png" x-maintain-ratio="TRUE" width="287px" height="305px" border="0" class="img_whs15"></p>
<p class="whs3">&nbsp;</p>
<p class="whs3"><span style="font-weight: bold;"><B>See Also</B></span>
a sample TUI Script of a <a href="../defining_hypotheses_tui.htm#bookmark3">Defining
Start and End Length &nbsp;hypothesis</a>
operation. &nbsp;</p>
<p>&nbsp;</p>
<script type="text/javascript" language="javascript1.2">
<!--
if (window.writeIntopicBar)
writeIntopicBar(0);
//-->
</script>
</body>
</html>