Dissipative mechanism in Godunov-type schemes

Kun Xu; Zuowu Li

doi:10.1002/fld.160

Dissipative mechanism in Godunov-type schemes

Kun Xu^*, Zuowu Li

^*Corresponding author for this work

Department of Mathematics

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

70 Citations (Scopus)

Abstract

This paper concerns the dissipative mechanism in the shock capturing schemes, where exact or approximate Riemann solvers are used in the flux evaluation. More specifically, we are going to analyze the dissipation in the flux vector splitting (FVS) scheme and the Godunov method, from which some pathological phenomena from the FVS scheme and the Godunov method will be explained, such as the artificial dissipation and the shock instability.

Original language	English
Pages (from-to)	1-22
Number of pages	22
Journal	International Journal for Numerical Methods in Fluids
Volume	37
Issue number	1
DOIs	https://doi.org/10.1002/fld.160
Publication status	Published - 15 Sept 2001

Keywords

Flux difference splitting
Flux vector splitting
Riemann solver
Shock instability

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10.1002/fld.160

Cite this

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title = "Dissipative mechanism in Godunov-type schemes",

abstract = "This paper concerns the dissipative mechanism in the shock capturing schemes, where exact or approximate Riemann solvers are used in the flux evaluation. More specifically, we are going to analyze the dissipation in the flux vector splitting (FVS) scheme and the Godunov method, from which some pathological phenomena from the FVS scheme and the Godunov method will be explained, such as the artificial dissipation and the shock instability.",

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AU - Li, Zuowu

PY - 2001/9/15

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N2 - This paper concerns the dissipative mechanism in the shock capturing schemes, where exact or approximate Riemann solvers are used in the flux evaluation. More specifically, we are going to analyze the dissipation in the flux vector splitting (FVS) scheme and the Godunov method, from which some pathological phenomena from the FVS scheme and the Godunov method will be explained, such as the artificial dissipation and the shock instability.

AB - This paper concerns the dissipative mechanism in the shock capturing schemes, where exact or approximate Riemann solvers are used in the flux evaluation. More specifically, we are going to analyze the dissipation in the flux vector splitting (FVS) scheme and the Godunov method, from which some pathological phenomena from the FVS scheme and the Godunov method will be explained, such as the artificial dissipation and the shock instability.

KW - Flux difference splitting

KW - Flux vector splitting

KW - Riemann solver

KW - Shock instability

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UR - https://www.scopus.com/pages/publications/0035884718

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DO - 10.1002/fld.160

M3 - Journal Article

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EP - 22

JO - International Journal for Numerical Methods in Fluids

JF - International Journal for Numerical Methods in Fluids

IS - 1

ER -

Dissipative mechanism in Godunov-type schemes

Abstract

Keywords

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