[Gmsh] Problem in anisotropic mesh generation
Andrea Ferrero
andrea_ferrero at polito.it
Sun Nov 8 02:01:31 CET 2015
Hello every one,
I attach some new files which can help in defining the problem.
In the file test.geo there is the definition of a circular domain.
The goal of the test is to generate a uniform anisotropic mesh with
characteristic sizes h1=0.1 and h2=0.5. I tried to set the following
orientations: +-45 deg.
In the first case the metric tensor's components are: m11=52, m12=48,
m22=52.
In the second case the metric tensor's components are: m11=52, m12=-48,
m22=52.
If I insert the previous values of the metric tensor's components in the
MathEvalAniso (which is commented in the test.geo file) everything works
fine, for both orientation.
However, if I try to define the metric field by using a background mesh
I get the required anisotropic mesh only for the orientation
+45 deg (m11=52, m12=48, m22=52) while for the orientation -45 deg
(m11=52, m12=-48, m22=52) I get an ISOtropic mesh.
The metric file is defined by using the Tensor Triangular object and
refers to a background isotropic mesh (background.msh).
I attach the metric files that I have generated for the two cases:
metric_file_plus45.mtr (which works) and metric_file_minus45.mtr (which
doesn't work).
It is strange that everything works fine when I directly define the
metric by using the MathEvalAniso field while it does not work as
expected when I use the metric file.
Maybe I'm doing an error in the syntax of the metric file but it seems
to me that it's correct: for each triangle there are 9 values to define
the coordinates of the triangle's vertices and 27 values for the
definition of the 3x3 tensor in the 3 nodes of the triangle.
I use the following command to generate the mesh when using the metric
file: gmsh -2 test.geo -algo bamg -bgm metric_file.mtr
All suggestions are welcome.
Thank you very much for your help
Andrea
On 16/10/2015 11:48, Andrea Ferrero wrote:
> Dear Gmsh users,
> I am trying to generate anisotropic meshes by the BAMG tool included
> in Gmsh.
> I can't get anisotropic elements when the elements are oriented to
> certain directions.
>
> For example, I generated an isotropic background mesh on a circular
> domain (radius=2) which I used to define a metric file. In each node
> of the this background mesh I define the metric tensor with the same
> parameters for all the nodes. In particular, I set h1=0.1, h2=0.5 and
> theta=pi/4. The obtained metric field shows the following parameters:
> m11=52, m22=52, m12=48.
> If I use these parameters I get the required anisotropic mesh shown in
> the image aniso.png.
>
> However, if I set theta=-pi/4 or theta=3*pi/4 I get the isotropic mesh
> reported in the image iso.png. I would expect to get an anisotropic
> mesh also with these parameters but with the elements aligned to a
> direction perpendicular to the previous case.
> In this second case the parameters of the metric field are m11=52,
> m22=52, m12=-48.
> Why do I get an isotropic mesh when theta=-pi/4?
>
> I use the following command to generate the mesh with Gmsh 2.10.1:
> gmsh -2 test.geo -algo bamg -bgm metric_file.mtr -anisoMax 100
>
> Thank you very much
>
> Andrea
>
>
> _______________________________________________
> gmsh mailing list
> gmsh at geuz.org
> http://www.geuz.org/mailman/listinfo/gmsh
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};
-------------- next part --------------
View "METRIC" {
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TT( 0.5679, -0.6015,0, 0.5435, -0.5143,0, 0.4812, -0.5533,0){ 52.0000, 48.0000,0, 48.0000, 52.0000,0,0,0,1, 52.0000, 48.0000,0, 48.0000, 52.0000,0,0,0,1, 52.0000, 48.0000,0, 48.0000, 52.0000,0,0,0,1};
TT( -0.4219, -0.4794,0, -0.4923, -0.5125,0, -0.4443, -0.5739,0){ 52.0000, 48.0000,0, 48.0000, 52.0000,0,0,0,1, 52.0000, 48.0000,0, 48.0000, 52.0000,0,0,0,1, 52.0000, 48.0000,0, 48.0000, 52.0000,0,0,0,1};
TT( 0.4219, 0.4794,0, 0.4923, 0.5125,0, 0.4443, 0.5739,0){ 52.0000, 48.0000,0, 48.0000, 52.0000,0,0,0,1, 52.0000, 48.0000,0, 48.0000, 52.0000,0,0,0,1, 52.0000, 48.0000,0, 48.0000, 52.0000,0,0,0,1};
TT( 0.4149, -1.1853,0, 0.4856, -1.2325,0, 0.4789, -1.1446,0){ 52.0000, 48.0000,0, 48.0000, 52.0000,0,0,0,1, 52.0000, 48.0000,0, 48.0000, 52.0000,0,0,0,1, 52.0000, 48.0000,0, 48.0000, 52.0000,0,0,0,1};
TT( -0.4149, 1.1853,0, -0.4856, 1.2325,0, -0.4789, 1.1446,0){ 52.0000, 48.0000,0, 48.0000, 52.0000,0,0,0,1, 52.0000, 48.0000,0, 48.0000, 52.0000,0,0,0,1, 52.0000, 48.0000,0, 48.0000, 52.0000,0,0,0,1};
TT( -1.1732, -0.8138,0, -1.2459, -0.7892,0, -1.2395, -0.8580,0){ 52.0000, 48.0000,0, 48.0000, 52.0000,0,0,0,1, 52.0000, 48.0000,0, 48.0000, 52.0000,0,0,0,1, 52.0000, 48.0000,0, 48.0000, 52.0000,0,0,0,1};
TT( 1.1732, 0.8138,0, 1.2459, 0.7892,0, 1.2395, 0.8580,0){ 52.0000, 48.0000,0, 48.0000, 52.0000,0,0,0,1, 52.0000, 48.0000,0, 48.0000, 52.0000,0,0,0,1, 52.0000, 48.0000,0, 48.0000, 52.0000,0,0,0,1};
TT( -1.3188, -0.8397,0, -1.2395, -0.8580,0, -1.2459, -0.7892,0){ 52.0000, 48.0000,0, 48.0000, 52.0000,0,0,0,1, 52.0000, 48.0000,0, 48.0000, 52.0000,0,0,0,1, 52.0000, 48.0000,0, 48.0000, 52.0000,0,0,0,1};
TT( 1.3188, 0.8397,0, 1.2395, 0.8580,0, 1.2459, 0.7892,0){ 52.0000, 48.0000,0, 48.0000, 52.0000,0,0,0,1, 52.0000, 48.0000,0, 48.0000, 52.0000,0,0,0,1, 52.0000, 48.0000,0, 48.0000, 52.0000,0,0,0,1};
TT( 1.2552, -1.0195,0, 1.3136, -0.9730,0, 1.2386, -0.9370,0){ 52.0000, 48.0000,0, 48.0000, 52.0000,0,0,0,1, 52.0000, 48.0000,0, 48.0000, 52.0000,0,0,0,1, 52.0000, 48.0000,0, 48.0000, 52.0000,0,0,0,1};
TT( -1.2552, 1.0195,0, -1.3136, 0.9730,0, -1.2386, 0.9370,0){ 52.0000, 48.0000,0, 48.0000, 52.0000,0,0,0,1, 52.0000, 48.0000,0, 48.0000, 52.0000,0,0,0,1, 52.0000, 48.0000,0, 48.0000, 52.0000,0,0,0,1};
TT( -1.2028, -1.0808,0, -1.1892, -0.9960,0, -1.2621, -1.0359,0){ 52.0000, 48.0000,0, 48.0000, 52.0000,0,0,0,1, 52.0000, 48.0000,0, 48.0000, 52.0000,0,0,0,1, 52.0000, 48.0000,0, 48.0000, 52.0000,0,0,0,1};
TT( 1.2028, 1.0808,0, 1.1892, 0.9960,0, 1.2621, 1.0359,0){ 52.0000, 48.0000,0, 48.0000, 52.0000,0,0,0,1, 52.0000, 48.0000,0, 48.0000, 52.0000,0,0,0,1, 52.0000, 48.0000,0, 48.0000, 52.0000,0,0,0,1};
TT( -0.5095, -1.2057,0, -0.4983, -1.1221,0, -0.5591, -1.1581,0){ 52.0000, 48.0000,0, 48.0000, 52.0000,0,0,0,1, 52.0000, 48.0000,0, 48.0000, 52.0000,0,0,0,1, 52.0000, 48.0000,0, 48.0000, 52.0000,0,0,0,1};
TT( 0.5095, 1.2057,0, 0.4983, 1.1221,0, 0.5591, 1.1581,0){ 52.0000, 48.0000,0, 48.0000, 52.0000,0,0,0,1, 52.0000, 48.0000,0, 48.0000, 52.0000,0,0,0,1, 52.0000, 48.0000,0, 48.0000, 52.0000,0,0,0,1};
TT( 0.7156, 0.3196,0, 0.7842, 0.3516,0, 0.7299, 0.3970,0){ 52.0000, 48.0000,0, 48.0000, 52.0000,0,0,0,1, 52.0000, 48.0000,0, 48.0000, 52.0000,0,0,0,1, 52.0000, 48.0000,0, 48.0000, 52.0000,0,0,0,1};
TT( -0.7156, -0.3196,0, -0.7842, -0.3516,0, -0.7299, -0.3970,0){ 52.0000, 48.0000,0, 48.0000, 52.0000,0,0,0,1, 52.0000, 48.0000,0, 48.0000, 52.0000,0,0,0,1, 52.0000, 48.0000,0, 48.0000, 52.0000,0,0,0,1};
TT( 0.8105, 0.4199,0, 0.7299, 0.3970,0, 0.7842, 0.3516,0){ 52.0000, 48.0000,0, 48.0000, 52.0000,0,0,0,1, 52.0000, 48.0000,0, 48.0000, 52.0000,0,0,0,1, 52.0000, 48.0000,0, 48.0000, 52.0000,0,0,0,1};
TT( -0.8105, -0.4199,0, -0.7299, -0.3970,0, -0.7842, -0.3516,0){ 52.0000, 48.0000,0, 48.0000, 52.0000,0,0,0,1, 52.0000, 48.0000,0, 48.0000, 52.0000,0,0,0,1, 52.0000, 48.0000,0, 48.0000, 52.0000,0,0,0,1};
TT( -1.0298, 1.5595,0, -0.9918, 1.6467,0, -1.0618, 1.6235,0){ 52.0000, 48.0000,0, 48.0000, 52.0000,0,0,0,1, 52.0000, 48.0000,0, 48.0000, 52.0000,0,0,0,1, 52.0000, 48.0000,0, 48.0000, 52.0000,0,0,0,1};
TT( 1.0298, -1.5595,0, 0.9918, -1.6467,0, 1.0618, -1.6235,0){ 52.0000, 48.0000,0, 48.0000, 52.0000,0,0,0,1, 52.0000, 48.0000,0, 48.0000, 52.0000,0,0,0,1, 52.0000, 48.0000,0, 48.0000, 52.0000,0,0,0,1};
TT( 1.2858, -1.1562,0, 1.2517, -1.0929,0, 1.2177, -1.1516,0){ 52.0000, 48.0000,0, 48.0000, 52.0000,0,0,0,1, 52.0000, 48.0000,0, 48.0000, 52.0000,0,0,0,1, 52.0000, 48.0000,0, 48.0000, 52.0000,0,0,0,1};
TT( -1.2858, 1.1562,0, -1.2517, 1.0929,0, -1.2177, 1.1516,0){ 52.0000, 48.0000,0, 48.0000, 52.0000,0,0,0,1, 52.0000, 48.0000,0, 48.0000, 52.0000,0,0,0,1, 52.0000, 48.0000,0, 48.0000, 52.0000,0,0,0,1};
TT( -1.2266, -1.2188,0, -1.1589, -1.2109,0, -1.1957, -1.1539,0){ 52.0000, 48.0000,0, 48.0000, 52.0000,0,0,0,1, 52.0000, 48.0000,0, 48.0000, 52.0000,0,0,0,1, 52.0000, 48.0000,0, 48.0000, 52.0000,0,0,0,1};
TT( 1.2266, 1.2188,0, 1.1589, 1.2109,0, 1.1957, 1.1539,0){ 52.0000, 48.0000,0, 48.0000, 52.0000,0,0,0,1, 52.0000, 48.0000,0, 48.0000, 52.0000,0,0,0,1, 52.0000, 48.0000,0, 48.0000, 52.0000,0,0,0,1};
};
-------------- next part --------------
lc=0.1;
Point(10000)={0,0,0,lc};
Point(10001)={0,1.9,0,lc};
Point(10002)={0,-1.9,0,lc};
Circle(1)={10001,10000,10002};
Circle(2)={10002,10000,10001};
Line Loop(1)={1,2};
Plane Surface(1) = {1};
//Field[4] = MathEvalAniso;
//Field[4].m11 = "52";
//Field[4].m12 = "-48";
//Field[4].m13 = "0";
//Field[4].m22 = "52";
//Field[4].m23 = "0";
//Field[4].m33 = "1";
//Background Field = 4;
-------------- next part --------------
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