Local Adaptive Mesh Refinement for Shock Hydrodynamics
Abstract
The aim of this work is the development of an automatic, adaptive mesh refinement strategy for solving hyperbolic conservation laws in two dimensions. There are two main difficulties in doing this. The first problem is due to the presence of discontinuities in the solution and the effect on them of discontinuities in the mesh. The second problem is how to organize the algorithm to minimize memory and CPU overhead. This is an important consideration and will continue to be important as more sophisticated algorithms that use data structures other than arrays are developed for use on vector and parallel computers.
 Publication:

Journal of Computational Physics
 Pub Date:
 May 1989
 DOI:
 10.1016/00219991(89)900351
 Bibcode:
 1989JCoPh..82...64B
 Keywords:

 Conservation Laws;
 Grid Generation (Mathematics);
 Hydrodynamics;
 Shock Waves;
 Algorithms;
 Boundary Integral Method;
 Discontinuity;
 Error Analysis;
 Euler Equations Of Motion;
 Numerical Analysis;
 Fluid Mechanics and Heat Transfer