1. Multiresolution method on general unstructured meshes
- Author
-
S. V. Ramakrishnan, D. K. Ota, B. L. Bihari, and Z. Liu
- Subjects
Finite volume method ,Mesh generation ,Inviscid flow ,Multiresolution analysis ,Aerospace Engineering ,Polygon mesh ,Divergence (statistics) ,Grid ,Algorithm ,Interpolation ,Mathematics - Abstract
Recent advances are presented in the development, implementation, and application of a novel solution adaptive method, the multiresolution (MR) scheme. The MR method uses the difference in information between adjacent grid levels on a set of nested grids for determining active and inactive grid cells. This amounts to computing the wavelet decomposition of the solution, which is known to be a rich source of regularity information. Shocks, contact discontinuities, reaction fronts, or any other inviscid and viscous flow features are identified and tracked in a time-accurate fashion. In active regions, the underlying finite volume scheme is solved in the usual manner, whereas in smooth regions, an inexpensive interpolation of the numerical divergence replaces both flux computations and reconstruction. Thus, the simulation becomes significantly more efficient without any loss of accuracy compared to the finest grid available. The combined finite volume-MR method will be described followed by two-dimensional and three-dimensional time-accurate examples on unstructured meshes
- Published
- 2002