A second-order Godunov method on arbitrary grids

Research output: Contribution to journalArticle

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, Lagrangian grids that make contact discontinuities perfectly sharp, and a new way to solve the time dependent small disturbance transonic flow equations of gas dynamics. As part of the algorithm, a way is presented to solve generalized Riemann problems with second-order accuracy.

Original languageEnglish (US)
Pages (from-to)383-395
Number of pages13
JournalJournal of Computational Physics
Volume124
Issue number2
DOIs
StatePublished - Mar 15 1996

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Godunov method
Transonic flow
Gas dynamics
Conservation
grids
Cauchy problem
transonic flow
flow equations
gas dynamics
conservation laws
discontinuity
disturbances

ASJC Scopus subject areas

  • Computer Science Applications
  • Physics and Astronomy(all)

Cite this

A second-order Godunov method on arbitrary grids. / Tabak, Esteban G.

In: Journal of Computational Physics, Vol. 124, No. 2, 15.03.1996, p. 383-395.

Research output: Contribution to journalArticle

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