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Local adaptive mesh refinement for shock hydrodynamics. (English) Zbl 0665.76070
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.

MSC:
76L05 Shock waves and blast waves in fluid mechanics
76M99 Basic methods in fluid mechanics
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