[Dune-devel] dune-grid: structured grid-factory for AlbertaGrid/Alugrid

[Simon Praetorius]

Hi,

When using StructuredGridFactory from  
`dune/grid/utility/structuredgridfactory` to create a simple simplex  
grid, a "Coxeter-Freudenthal-Kuhn triangulation" is implemented. This  
works fine for, e.g. UGGrid, but has some problems for AlbertaGrid and  
ALUGrid. For Alberta is does not work at all, since the strong  
numbering requirements are not fulfilled, for ALUGrid, I think, it  
works, but produces not so nice elements after grid refinement.

Is this problem known? Are there any (general) alternatives? Or Grid  
specific implementations for the initialization of a simple grid?

It would be easy to implement a different structured simplex grid, by  
simply applying a conforming simplex refinement pattern onto a  
structured cube grid. E.g., in 2d with standard Dune local numbering  
of the vertices in a quadrilateral, one could create two triangles:  
[3,0,1] [0,3,2]. Both have the same orientation and a common  
refinement edge (for Alberta), that is the last edge in each triangle.

Best,
Simon

-- 
Dr. Simon Praetorius
Institut für Wissenschaftliches Rechnen
Fakultät Mathematik
Technische Universität Dresden
Tel.: TUD-34432
Mail: simon.praetorius at tu-dresden.de
Web: www.math.tu-dresden.de/~spraetor
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