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Three-dimensional adaptive mesh refinement for hyperbolic conservation laws. (English) Zbl 0793.65072
This is a descriptive account of how an adaptive mesh refinement algorithm may be used in solving systems of hyperbolic conservation laws. The method is illustrated by considering a particular case of a shock wave hitting a bubble of Freon-22. The results of the calculations are given.

MSC:
65M50 Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs
65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs
76N15 Gas dynamics, general
35L65 Hyperbolic conservation laws
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