Generation of Dynamic Grids Using Structural Analogy
A. Wick (TU Berlin)
Numerical flow simulations for configurations with moving and deforming
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
construction of node relocation algorithms appropriate for this task.
In this talk I present recent improvements of a novel method  which
on principles from nonlinear elasticity theory. It is compared with the
spring analogy model and a linear solid-body elasticity formulation
. For large motions involving boundaries in close proximity the
approaches are prone to grid folding , whereas the novel method is
produce valid grids. While being computationally more expensive than less
sophisticated methods, the nonlinear approach yields a much better grid quality
significantly extends the range of application of node redistribution schemes.
For all test cases presented, two-dimensional structured multi-block grids are
The extension to both three dimensional problems and unstructured grids is in
 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.
 P.A. Cavallo, A. Hosangadi, R.A. Lee, and S.M. Dash.
Dynamic unstructured grid methodology with application to
 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.