17th GAMM-Seminar Leipzig on
Construction of Grid Generation Algorithms

Max-Planck-Institute for Mathematics in the Sciences
Inselstr. 22-26, D-04103 [O->]Leipzig
Phone: +49.341.9959.752, Fax: +49.341.9959.999

  17th GAMM-Seminar
February, 1st-3rd, 2001
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  Abstract A. Wick, Fri, 12.00-12.25 Previous Contents Next  
  Generation of Dynamic Grids Using Structural Analogy
A. Wick (TU Berlin)

Numerical flow simulations for configurations with moving and deforming boundaries usually require consecutive modifications of the grid in order to conform to the changing domain. An analogy to structural mechanics is a good starting point for the construction of node relocation algorithms appropriate for this task.

In this talk I present recent improvements of a novel method [1] which is based on principles from nonlinear elasticity theory. It is compared with the well-known spring analogy model and a linear solid-body elasticity formulation [2]. For large motions involving boundaries in close proximity the latter approaches are prone to grid folding [3], whereas the novel method is able to produce valid grids. While being computationally more expensive than less sophisticated methods, the nonlinear approach yields a much better grid quality and significantly extends the range of application of node redistribution schemes. For all test cases presented, two-dimensional structured multi-block grids are employed. The extension to both three dimensional problems and unstructured grids is in progress.

[1] A. Wick, M. Buffat, and F. Thiele. A Novel Method for Generation of Dynamic Meshes. In 7th Int. Conference on Numerical Grid Generation in Computational Field Simulations, Whistler, Canada, 2000.

[2] P.A. Cavallo, A. Hosangadi, R.A. Lee, and S.M. Dash. Dynamic unstructured grid methodology with application to aero/propulsive flowfields. AIAA-97-2310, 1997.

[3] A. Wick and F. Thiele. Dynamic mesh generation with grid quality preserving methods. In Second International Symposium on Finite Volumes for Complex Applications - Problems and Perspectives -, Duisburg, Germany, 1999.


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