Grid generation

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Grid generation

Collaborator: I. Schmelzer

Description: The development of the grid generation and geometry description package COG has been continued.

The main focus was on the development of a graphical user interface to simplify the use of COG. A first version of the user interface has been implemented. This version allows many features of the package COG to be used. On the other hand, further improvement is necessary.

**Fig. 1:** COG User Interface
$%% \ProjektEPSbildNocap {16cm}{fb01_3_02_is_1.eps}$

Another major issue has been the improvement of the stability of the algorithm. The Steiner point insertion algorithm has been completely redesigned. This has allowed to improve the stability of the COG algorithm in transitional domains between different local coordinate charts, which has been a major problem of COG in the past.

For geological applications with very thin skew layers, a two-dimensional algorithm which allows the creation of sparse, slightly non-Delaunay grids has been generalized to the three-dimensional case and implemented:

**Fig. 2:** 3-d grid for a geological profile with thin layers
$%% \ProjektEPSbildNocap {16cm}{fb01_3_02_is_2.eps}$

Last but not least, parts of a future PhD thesis about grid generation have been completed.

References:

I. SCHMELZER, Grid generation and geometry description with COG, in: Proceedings of 17^th GAMM Seminar Leipzig on Construction of Grid Generation Algorithms, W. Hackbusch, U. Langer, eds., Max-Planck-Institut für Mathematik in den Naturwissenschaften, Leipzig, 2001. URL: http://www.mis.mpg.de/conferences/gamm .