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<h1>1D Meshing Hypotheses</h1>\r
\r
-<h3>Arithmetic 1D hypothesis</h3>\r
+<ul type="disc" class="whs1">\r
+ \r
+ <li style="/*begin!kadov{{*/ color: #000000; /*}}end!kadov*/ "\r
+ class=kadov-p><p class="whs2"><a href="arithmetic_1d.htm#arithmetic_1D"><span \r
+ style="font-weight: bold;"><B>Arithmetic 1D</B></span></a></p></li>\r
+ \r
+ <li style="/*begin!kadov{{*/ color: #000000; /*}}end!kadov*/ "\r
+ class=kadov-p><p class="whs2"><a href="arithmetic_1d.htm#Average_length"><span \r
+ style="font-weight: bold;"><B>Average Length</B></span></a></p></li>\r
+ \r
+ <li style="/*begin!kadov{{*/ color: #000000; /*}}end!kadov*/ "\r
+ class=kadov-p><p class="whs2"><a href="arithmetic_1d.htm#deflection_1D"><span \r
+ style="font-weight: bold;"><B>Deflection 1D </B></span></a></p></li>\r
+ \r
+ <li style="/*begin!kadov{{*/ color: #000000; /*}}end!kadov*/ "\r
+ class=kadov-p><p class="whs2"><a href="arithmetic_1d.htm#Number_of_elements"><span \r
+ style="font-weight: bold;"><B>Number of segments</B></span></a></p></li>\r
+ \r
+ <li style="/*begin!kadov{{*/ color: #000000; /*}}end!kadov*/ "\r
+ class=kadov-p><p class="whs2"><a href="arithmetic_1d.htm#start_and_end_length"><span \r
+ style="font-weight: bold;"><B>Start and end length</B></span></a></p></li>\r
+ \r
+ <li style="/*begin!kadov{{*/ color: #000000; /*}}end!kadov*/ "\r
+ class=kadov-p><p class="whs2"><a href="arithmetic_1d.htm#automatic_length"><span \r
+ style="font-weight: bold;"><B>Automatic Length</B></span></a></p></li>\r
+</ul>\r
+\r
+<h3><a name=arithmetic_1D>Arithmetic 1D hypothesis</a></h3>\r
\r
<p><span style="font-weight: bold;"><B>Arithmetic 1D</B></span> hypothesis allows \r
to split edges into segments with a length that changes in arithmetic \r
\r
<p> </p>\r
\r
-<p><img src="../pics/a-arithmetic1d.png" x-maintain-ratio="TRUE" width="332px" height="238px" border="0" class="img_whs1"> <img src="../pics/b-ithmetic1d.png" x-maintain-ratio="TRUE" width="309px" height="316px" border="0" class="img_whs2"></p>\r
+<p class="whs3"><img src="../pics/a-arithmetic1d.png" x-maintain-ratio="TRUE" width="332px" height="238px" border="0" class="img_whs4"> <img src="../pics/b-ithmetic1d.png" x-maintain-ratio="TRUE" width="309px" height="316px" border="0" class="img_whs5"></p>\r
\r
<p> </p>\r
\r
-<p class="whs3"><span style="font-weight: bold;"><B>See Also</B></span> \r
+<p class="whs6"><span style="font-weight: bold;"><B>See Also</B></span> \r
a sample TUI Script of a <a href="../defining_hypotheses_tui.htm#bookmark">Defining \r
Arithmetic 1D hypothesis</a> operation. </p>\r
\r
-<h3><span style="font-weight: bold;"><B>Deflection</B></span> 1D hypothesis</h3>\r
+<h3><a name=deflection_1D>Deflection 1D hypothesis</a></h3>\r
\r
<p><span style="font-weight: bold;"><B>Deflection ID </B></span>hypothesis can \r
be applied for meshing curvilinear edges composing your geometrical object. \r
\r
<p> </p>\r
\r
-<p><img src="../pics/a-deflection1d.png" x-maintain-ratio="TRUE" width="332px" height="212px" border="0" class="img_whs4"> <img src="../pics/b-flection1d.png" x-maintain-ratio="TRUE" width="267px" height="339px" border="0" class="img_whs5"></p>\r
+<p class="whs3"><img src="../pics/a-deflection1d.png" x-maintain-ratio="TRUE" width="332px" height="212px" border="0" class="img_whs7"> <img src="../pics/b-flection1d.png" x-maintain-ratio="TRUE" width="267px" height="339px" border="0" class="img_whs8"></p>\r
\r
<p> </p>\r
\r
-<p class="whs3"><span style="font-weight: bold;"><B>See Also</B></span> \r
+<p class="whs6"><span style="font-weight: bold;"><B>See Also</B></span> \r
a sample TUI Script of a <a href="../defining_hypotheses_tui.htm#bookmark9">Defining \r
Deflection 1D hypothesis</a> operation. </p>\r
\r
<p> </p>\r
\r
-<p class="whs6"><img src="../image41.gif" x-maintain-ratio="TRUE" width="367px" height="224px" align="right" border="0" class="img_whs7"></p>\r
+<p class="whs9"><img src="../image41.gif" x-maintain-ratio="TRUE" width="367px" height="224px" align="right" border="0" class="img_whs10"></p>\r
\r
-<h3>Average Length hypothesis</h3>\r
+<h3><a name=Average_length>Average Length hypothesis</a></h3>\r
\r
<p><span style="font-weight: bold;"><B>Average Length </B></span>hypothesis can \r
be applied for meshing of edges composing your geometrical object. Definition \r
\r
<p> </p>\r
\r
-<p><img src="../pics/a-averagelength.png" x-maintain-ratio="TRUE" width="332px" height="212px" border="0" class="img_whs4"> <img src="../pics/b-erage_length.png" x-maintain-ratio="TRUE" width="252px" height="243px" border="0" class="img_whs8"></p>\r
+<p class="whs3"><img src="../pics/a-averagelength.png" x-maintain-ratio="TRUE" width="332px" height="212px" border="0" class="img_whs7"> <img src="../pics/b-erage_length.png" x-maintain-ratio="TRUE" width="252px" height="243px" border="0" class="img_whs11"></p>\r
\r
<p> </p>\r
\r
-<p class="whs3"><span style="font-weight: bold;"><B>See Also</B></span> \r
+<p class="whs6"><span style="font-weight: bold;"><B>See Also</B></span> \r
a sample TUI Script of a <a href="../defining_hypotheses_tui.htm#bookmark3">Defining \r
Average Length hypothesis</a> operation. </p>\r
\r
<p> </p>\r
\r
-<p class="whs9"><img src="../image46.gif" x-maintain-ratio="TRUE" width="431px" height="233px" align="right" border="0" class="img_whs10"></p>\r
+<p class="whs12"><img src="../image46.gif" x-maintain-ratio="TRUE" width="431px" height="233px" align="right" border="0" class="img_whs13"></p>\r
\r
-<h3>Number of segments hypothesis </h3>\r
+<h3><a name=Number_of_elements>Number of segments hypothesis</a> </h3>\r
\r
<p><span style="font-weight: bold;"><B>Number of segments </B></span>hypothesis \r
can be applied for meshing of edges composing your geometrical object. \r
\r
<p> </p>\r
\r
-<p class="whs3">You can set the type of distribution for this \r
+<p class="whs6">You can set the type of distribution for this \r
hypothesis in the <span style="font-weight: bold;"><B>Hypothesis Construction</B></span> \r
dialog bog : </p>\r
\r
-<p class="whs3"> </p>\r
+<p class="whs6"> </p>\r
\r
-<p class="whs3"><span style="font-weight: bold;"><B>Equidistant \r
- Distribution</B></span> - all segments will have the same length</p>\r
+<p class="whs6"><span style="font-weight: bold;"><B>Equidistant \r
+ Distribution</B></span> - all segments will have the same length, you define \r
+ only the <span style="font-weight: bold;"><B>Number of Segments</B></span>.</p>\r
\r
-<p><img src="../pics/a-nbsegments1.png" x-maintain-ratio="TRUE" width="332px" height="238px" border="0" class="img_whs1"> <img src="../pics/b-mberofsegments.png" x-maintain-ratio="TRUE" width="395px" height="387px" border="0" class="img_whs11"></p>\r
+<p class="whs6"> </p>\r
+\r
+<p class="whs3"><img src="../pics/a-nbsegments1.png" x-maintain-ratio="TRUE" width="332px" height="238px" border="0" class="img_whs4"> <img src="../pics/b-mberofsegments.png" x-maintain-ratio="TRUE" width="395px" height="387px" border="0" class="img_whs14"></p>\r
\r
<p> </p>\r
\r
-<p class="whs6">Scale Distribution - <span style="font-weight: normal;">each \r
+<p class="whs9">Scale Distribution - <span style="font-weight: normal;">each \r
next segment differs from the previous according to the formula:</span> \r
A<span style="vertical-align: Sub;">i+1</span> = A<span style="vertical-align: Sub;">i \r
- </span>* k, <span style="font-weight: normal;">where</span> k <span style="font-weight: normal;">is</span> \r
- Scale Factor </p>\r
+ </span>* k, <span style="font-weight: normal;">where</span> k <span style="font-weight: normal;">is \r
+ a</span> Scale Factor. </p>\r
\r
-<p class="whs6"><img src="../pics/a-nbsegments2.png" x-maintain-ratio="TRUE" width="332px" height="264px" border="0" class="img_whs12">\</p>\r
+<p class="whs12"><img src="../pics/a-nbsegments2.png" x-maintain-ratio="TRUE" width="332px" height="264px" border="0" class="img_whs15">\</p>\r
\r
-<p class="whs6"> </p>\r
+<p class="whs9"> </p>\r
\r
-<p class="whs6">Distribution with Table Density - <span style="font-weight: normal;">you \r
- input a number of pairs</span> t - F(t) <span style="font-weight: normal;">and \r
- the program computes the formula, which will rule the change of length \r
- of segments.</span></p>\r
+<p class="whs9">Distribution with Table Density - <span style="font-weight: normal;">you \r
+ input a number of pairs</span> t - F(t),<span style="font-weight: normal;"> \r
+ where </span>t<span style="font-weight: normal;"> ranges from 0 to 1,</span> \r
+ <span style="font-weight: normal;">and \r
+ the module computes the formula, which will rule the change of length \r
+ of segments and shows the curve in the plot. You can select the </span>Conversion \r
+ mode<span style="font-weight: normal;"> from </span>Exponent<span style="font-weight: normal;"> \r
+ and </span>Cut negative<span style="font-weight: normal;">. </span></p>\r
\r
-<p class="whs6"> </p>\r
+<p class="whs9"> </p>\r
\r
-<p class="whs6"><img src="../pics/a-nbsegments3.png" x-maintain-ratio="TRUE" width="333px" height="386px" border="0" class="img_whs13"></p>\r
+<p class="whs12"><img src="../pics/distributionwithtabledensity.png" x-maintain-ratio="TRUE" width="368px" height="760px" border="0" class="img_whs16"></p>\r
\r
-<p class="whs6"> </p>\r
+<p class="whs9"> </p>\r
\r
-<p class="whs6">Distribution with Analytic Density - <span \r
+<p class="whs9">Distribution with Analytic Density - <span \r
style="font-weight: normal;">you input the formula, which will rule the \r
- change of length of segments</span></p>\r
+ change of length of segments and the module shows the curve in the plot.</span></p>\r
\r
-<h3><img src="../pics/a-nbsegments4.png" x-maintain-ratio="TRUE" width="333px" height="285px" border="0" class="img_whs14"></h3>\r
+<h3 class="whs17"><img src="../pics/distributionwithanalyticdensity.png" x-maintain-ratio="TRUE" width="365px" height="605px" border="0" class="img_whs18"></h3>\r
\r
-<p class="whs3"><span style="font-weight: bold;"><B>See Also</B></span> \r
+<p class="whs6"><span style="font-weight: bold;"><B>See Also</B></span> \r
a sample TUI Script of a <a href="../defining_hypotheses_tui.htm#bookmark9">Defining \r
Number of Segments hypothesis</a> operation. </p>\r
\r
<h3> </h3>\r
\r
-<h3>Start and End Length hypothesis.</h3>\r
+<h3><a name=start_and_end_length>Start and End Length hypothesis.</a></h3>\r
\r
<p><span style="font-weight: bold;"><B>Start and End Length</B></span> hypothesis \r
allows to divide a geometrical edge into segments so that the first and \r
\r
<p> </p>\r
\r
-<p><img src="../pics/a-startendlength.png" x-maintain-ratio="TRUE" width="332px" height="238px" border="0" class="img_whs1"> <img src="../pics/b-art_end_length.png" x-maintain-ratio="TRUE" width="287px" height="305px" border="0" class="img_whs15"></p>\r
+<p class="whs3"><img src="../pics/a-startendlength.png" x-maintain-ratio="TRUE" width="332px" height="238px" border="0" class="img_whs4"> <img src="../pics/b-art_end_length.png" x-maintain-ratio="TRUE" width="287px" height="305px" border="0" class="img_whs19"></p>\r
\r
-<p class="whs3"> </p>\r
+<p class="whs6"> </p>\r
\r
-<p class="whs3"><span style="font-weight: bold;"><B>See Also</B></span> \r
+<p class="whs6"><span style="font-weight: bold;"><B>See Also</B></span> \r
a sample TUI Script of a <a href="../defining_hypotheses_tui.htm#bookmark3">Defining \r
Start and End Length hypothesis</a> \r
operation. </p>\r
\r
+<p class="whs6"> </p>\r
+\r
+<h3><a name=automatic_length>Automatic Length</a></h3>\r
+\r
+<p>This hypothesis is automatically applied when you select <span style="font-weight: bold;"><B>Assign \r
+ a set of hypotheses</B></span> option in Create Mesh menu. </p>\r
+\r
+<p> </p>\r
+\r
+<p class="whs3"><img src="../pics/automaticlength.png" x-maintain-ratio="TRUE" width="205px" height="175px" border="0" class="img_whs20"> </p>\r
+\r
+<p> </p>\r
+\r
+<p>The dialog box prompts you to define the quality of the future mesh \r
+ by only one parameter, which is <span style="font-weight: bold;"><B>Fineness</B></span>, \r
+ ranging from 0 (coarse mesh, low number of elements) to 1 (extremely fine \r
+ mesh, great number of elements). Compare one and the same object (sphere) \r
+ meshed with minimum and maximum value of this parameter. </p>\r
+\r
+<p> </p>\r
+\r
+<p class="whs3"><img src="../image147.gif" width="195px" height="192px" border="0" class="img_whs21"> <img src="../image148.gif" width="206px" height="195px" border="0" class="img_whs22"></p>\r
+\r
+<p> </p>\r
+\r
+<p> </p>\r
+\r
+<p> </p>\r
+\r
<p> </p>\r
\r
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