<html xmlns:v="urn:schemas-microsoft-com:vml" xmlns:o="urn:schemas-microsoft-com:office:office" xmlns:w="urn:schemas-microsoft-com:office:word" xmlns:m="http://schemas.microsoft.com/office/2004/12/omml" xmlns="http://www.w3.org/TR/REC-html40"><head><META HTTP-EQUIV="Content-Type" CONTENT="text/html; charset=us-ascii"><meta name=Generator content="Microsoft Word 14 (filtered medium)"><style><!--
/* Font Definitions */
@font-face
{font-family:"Cambria Math";
panose-1:2 4 5 3 5 4 6 3 2 4;}
@font-face
{font-family:Calibri;
panose-1:2 15 5 2 2 2 4 3 2 4;}
@font-face
{font-family:Consolas;
panose-1:2 11 6 9 2 2 4 3 2 4;}
/* Style Definitions */
p.MsoNormal, li.MsoNormal, div.MsoNormal
{margin:0cm;
margin-bottom:.0001pt;
font-size:11.0pt;
font-family:"Calibri","sans-serif";
mso-fareast-language:EN-US;}
a:link, span.MsoHyperlink
{mso-style-priority:99;
color:blue;
text-decoration:underline;}
a:visited, span.MsoHyperlinkFollowed
{mso-style-priority:99;
color:purple;
text-decoration:underline;}
p.MsoPlainText, li.MsoPlainText, div.MsoPlainText
{mso-style-priority:99;
mso-style-link:"Plain Text Char";
margin:0cm;
margin-bottom:.0001pt;
font-size:10.5pt;
font-family:Consolas;}
span.EmailStyle17
{mso-style-type:personal-compose;
font-family:"Calibri","sans-serif";
color:windowtext;}
span.PlainTextChar
{mso-style-name:"Plain Text Char";
mso-style-priority:99;
mso-style-link:"Plain Text";
font-family:Consolas;
mso-fareast-language:EN-AU;}
.MsoChpDefault
{mso-style-type:export-only;
mso-fareast-language:EN-US;}
@page WordSection1
{size:612.0pt 792.0pt;
margin:72.0pt 72.0pt 72.0pt 72.0pt;}
div.WordSection1
{page:WordSection1;}
--></style><!--[if gte mso 9]><xml>
<o:shapedefaults v:ext="edit" spidmax="1026" />
</xml><![endif]--><!--[if gte mso 9]><xml>
<o:shapelayout v:ext="edit">
<o:idmap v:ext="edit" data="1" />
</o:shapelayout></xml><![endif]--></head><body lang=EN-AU link=blue vlink=purple><div class=WordSection1><p class=MsoNormal>It looks like the issue I raised was already discussed in 2008. See: <a href="http://www.geuz.org/pipermail/gmsh/2008/003152.html">http://www.geuz.org/pipermail/gmsh/2008/003152.html</a><o:p></o:p></p><p class=MsoNormal><o:p> </o:p></p><p class=MsoNormal>Regards, Peter.<o:p></o:p></p><p class=MsoNormal><o:p> </o:p></p><p class=MsoNormal><o:p> </o:p></p><p class=MsoNormal><o:p> </o:p></p><p class=MsoNormal>Quoted text:<o:p></o:p></p><p class=MsoNormal><o:p> </o:p></p><p class=MsoNormal><span style='mso-fareast-language:EN-AU'>Hi.<o:p></o:p></span></p><p class=MsoNormal><span style='mso-fareast-language:EN-AU'><o:p> </o:p></span></p><p class=MsoNormal><span style='mso-fareast-language:EN-AU'>Troubled by some results on a more complex geo file (I noticed that using mesh element sizes of 2.5 and 3 generated identically sized .msh files) I did a test of meshing on a single line with a length of 10 (ie. 1D meshing only). In both cases (actual and test cases), I specify "desired mesh element sizes at the geometrical points of the model" using the point command.<o:p></o:p></span></p><p class=MsoNormal><span style='mso-fareast-language:EN-AU'><o:p> </o:p></span></p><p class=MsoNormal><span style='mso-fareast-language:EN-AU'>Here's my test geo file:<o:p></o:p></span></p><p class=MsoNormal><span style='mso-fareast-language:EN-AU'><o:p> </o:p></span></p><p class=MsoNormal><span style='mso-fareast-language:EN-AU'>length=10.0;<o:p></o:p></span></p><p class=MsoNormal><span style='mso-fareast-language:EN-AU'>disc=1.0;<o:p></o:p></span></p><p class=MsoNormal><span style='mso-fareast-language:EN-AU'><o:p> </o:p></span></p><p class=MsoNormal><span style='mso-fareast-language:EN-AU'>Point(1)={length/2.0,0.0,0.0,disc};<o:p></o:p></span></p><p class=MsoNormal><span style='mso-fareast-language:EN-AU'>Point(2)={-length/2.0,0.0,0.0,disc};<o:p></o:p></span></p><p class=MsoNormal><span style='mso-fareast-language:EN-AU'>Line(1)={1,2};<o:p></o:p></span></p><p class=MsoNormal><span style='mso-fareast-language:EN-AU'><o:p> </o:p></span></p><p class=MsoNormal><span style='mso-fareast-language:EN-AU'>I expected that using a mesh element size of 1 (specified using "disc") would give me 10 elements along my line. It however only gives me 9 (8 nodes along the line). The results are shown below:<o:p></o:p></span></p><p class=MsoNormal><span style='mso-fareast-language:EN-AU'><o:p> </o:p></span></p><p class=MsoNormal><span style='mso-fareast-language:EN-AU'>disc=1 9 elements<o:p></o:p></span></p><p class=MsoNormal><span style='mso-fareast-language:EN-AU'>disc=0.9 11 elements<o:p></o:p></span></p><p class=MsoNormal><span style='mso-fareast-language:EN-AU'>disc=0.9999 10 elements<o:p></o:p></span></p><p class=MsoNormal><span style='mso-fareast-language:EN-AU'><o:p> </o:p></span></p><p class=MsoNormal><span style='mso-fareast-language:EN-AU'>The same general type of effect seems to hold for other desired element sizes: disc=2.5 yields 3 elements (rather than the expected 4 elements which can be obtained using disc=2.4).<o:p></o:p></span></p><p class=MsoNormal><span style='mso-fareast-language:EN-AU'><o:p> </o:p></span></p><p class=MsoNormal><span style='mso-fareast-language:EN-AU'>I couldn't find information on such effects - apologies if it has been discussed previously though. Is this maybe a known effect of rounding, precision or the meshing algorithm itself?<o:p></o:p></span></p><p class=MsoNormal><span style='mso-fareast-language:EN-AU'><o:p> </o:p></span></p><p class=MsoNormal><span style='mso-fareast-language:EN-AU'>Thanks in advance.<o:p></o:p></span></p><p class=MsoNormal><span style='mso-fareast-language:EN-AU'><o:p> </o:p></span></p><p class=MsoNormal><span style='mso-fareast-language:EN-AU'>Best regards, Peter.<o:p></o:p></span></p><p class=MsoNormal><span style='mso-fareast-language:EN-AU'><o:p> </o:p></span></p><p class=MsoNormal><o:p> </o:p></p></div></body></html>