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.
Reviewer: Ll.G.Chambers (Bangor)
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 theory) |
| 35L65 | Hyperbolic conservation laws |
