Godunov methods and adaptive algorithms for unsteady fluid dynamics
Higher-order versions of Godunov's method have proven highly successful for high-Mach-number compressible flow. One goal of the research being described in this paper is to extend the range of applicability of these methods to more general systems of hyperbolic conversion laws such as magnetohydrodynamics, flow in porous media and finite deformations of elastic-plastics solids. A second goal is to apply Godunov methods to problems involving more complex physical and solution geometries than can be treated on a simple rectangular grid. This requires the introduction of various adaptive methodologies: global moving and body-fitted meshes, local adaptive mesh refinement, and front tracking. 11 refs., 6 figs.
- Research Organization:
- Lawrence Livermore National Lab., CA (USA)
- DOE Contract Number:
- W-7405-ENG-48
- OSTI ID:
- 6991778
- Report Number(s):
- UCRL-98976; CONF-8806125-3; ON: DE88013094
- Resource Relation:
- Conference: 11. international conference on numerical methods in fluid dynamics, Williamsburg, VA, USA, 27 Jun 1988; Other Information: Portions of this document are illegible in microfiche products
- Country of Publication:
- United States
- Language:
- English
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