Local Uniform Mesh Refinement with Moving Grids.
YALE UNIV NEW HAVEN CT DEPT OF COMPUTER SCIENCE
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Local Uniform Mesh Refinement LUMR is a powerful technique for solving hyperbolic partial differential equations. However, many problems contain regions where numerical dispersion is very large, such as step fronts. In these regions, mesh refinement is not very efficient. A better approach in these regions is to locally transform the coordinate system to move with the front. This document shows how to combine these two approaches in a way which maintains the advantages of LUMR and the effectiveness of moving grids. Experiments with 2-D scalar problems are presented. Author
- Theoretical Mathematics