A second-order Godunov method on arbitrary grids

Esteban G. Tabak

doi:10.1006/jcph.1996.0067

A second-order Godunov method on arbitrary grids

Esteban G. Tabak

Mathematics

Research output: Contribution to journal › Article › peer-review

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 language	English (US)
Pages (from-to)	383-395
Number of pages	13
Journal	Journal of Computational Physics
Volume	124
Issue number	2
DOIs	https://doi.org/10.1006/jcph.1996.0067
State	Published - Mar 15 1996

ASJC Scopus subject areas

Numerical Analysis
Modeling and Simulation
Physics and Astronomy (miscellaneous)
General Physics and Astronomy
Computer Science Applications
Computational Mathematics
Applied Mathematics

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10.1006/jcph.1996.0067

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title = "A second-order Godunov method on arbitrary grids",

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.",

author = "Tabak, {Esteban G.}",

note = "Funding Information: This work arose as an independent numerical development within a joint project with Rub{\'e}n R. Rosales [12, 13]. I thank Rub{\'e}n for his many suggestions and helpful discussions. Partial support for this work was provided by an Alfred Sloan Doctoral Dissertation Award, by NSF under Grants DMS-9008520 and DMS-9001805, and by DARPA under Grant N0014-92-J-1796.",

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A second-order Godunov method on arbitrary grids

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