A 2ND-ORDER GODUNOV METHOD ON ARBITRARY GRIDS

Authors
TABAK EG
Citation
Eg. Tabak, A 2ND-ORDER GODUNOV METHOD ON ARBITRARY GRIDS, Journal of computational physics, 124(2), 1996, pp. 383-395
Citations number
17
Categorie Soggetti
Mathematical Method, Physical Science","Computer Science Interdisciplinary Applications","Physycs, Mathematical
Journal title
Journal of computational physics → ACNP
ISSN journal
00219991
Volume
124
Issue
2
Year of publication
1996
Pages
383 - 395
Database
ISI
SICI code
0021-9991(1996)124:2<383:A2GMOA>2.0.ZU;2-V
Abstract
A second-order Godunov method is proposed for the solution of general systems of conservation laws on arbitrary grids. Some applications are discussed: moving and deforming grids, local grid refinement, Lagrang ian grids that make contact discontinuities perfectly sharp, and a new way to solve the time dependent small disturbance transonic Row equat ions of gas dynamics. As part of the algorithm, a way is presented to solve generalized Riemann problems with second-order accuracy. (C) 199 6 Academic Press, Inc.