[Gmsh] Triangles when using 'Transfinite Line' and Blossom algorithm

[Christophe Geuzaine]

Hi Sebastian, 

Indeed, this is a due to the fact that Blossom requires an odd number of points on each edge. So you simply need to make sure that the number of points you specify with the Transfinite commands will be compatible :-)  (See the Blossom paper for more info.)

We are currently working on the anisotropic extension for generating nice unstructured stretched meshes... Stay tuned !

Cheers,

Christophe

On 26 Jul 2012, at 17:52, "Eiser, Sebastian" <sebastian.eiser at k-ai.at> wrote:

> Dear all,
> 
> I'm currently testing the Blossom algorithm. I think it does a very good job and is much faster than other quad meshers I know. I'm generally very satisfied with the resulting unstructured mesh. But I have some rectangular surfaces which have a very high width/height ratio (e.g. a very thin structure). I found it impossible to set the characteristic lengths such that I get exactly two quadrilateral elements in the "thin" direction. For these surfaces, it is very handy to use transfinite mesh. I also use 'Progression 0.99' to achieve some sort of scale transition in the extended direction.
> 
> Whenever a surface meshed by the Blossom algorithm intersects with a transfinite surface, the Blossom algorithm would then not recombine all triangles to quads. It works only for heavily tuned 'characteristic length' values, as can bee seen in the attached uber-simplified example. In the example, I'm coupling a square with transfinite mesh to a square which is meshed with the Blossom algorithm. Slightly modify the 'cltest' parameter, and there will be triangles in the second square.
> 
> What can I do to either (A) use Blossom to mesh thin structures or (B) be able to successfully mix structured and unstructured quadrilateral meshes? 
> 
> thanks a lot, 
> -Sebastian
> 
> PS: I made a very humble donation to gmsh earlier this week and found it impossible to choose EURO as currency. I'm not sure how much of my donation arrives if it is firstly converted to USD and then back to EURO. Surely paypal cashes for every conversion...<ref2d-bloss-transf.geo>_______________________________________________
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-- 
Prof. Christophe Geuzaine
University of Liege, Electrical Engineering and Computer Science 
http://www.montefiore.ulg.ac.be/~geuzaine