Affordable shock-stable item for Godunov-type schemes against carbuncle phenomenon

Shu sheng Chen; Chao Yan; Bo xi Lin; Li yuan Liu; Jian Yu

doi:10.1016/j.jcp.2018.07.022

Affordable shock-stable item for Godunov-type schemes against carbuncle phenomenon

Shu sheng Chen, Chao Yan, Bo xi Lin, Li yuan Liu, Jian Yu

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

54 Scopus citations

Abstract

The work proposes a simple, efficient and unified approach to combat carbuncle phenomenon. The basic idea of this approach is to construct an affordable shock-stable item into numerical flux. This item is acquired by comparing three-wave Roe solver and two-wave HLL solver based on Roe linearization and the projection of difference term. It is consistent with shear viscosity and meantime restrained by the pressure-based sensing function for shear layer. The proposed enhancement is easy to implement and apply within Roe, HLLEM, HLLC, AUSM+, etc. Several well-known cases illuminate its shock robustness and potential application to hypersonic flows.

Original language	English
Pages (from-to)	662-672
Number of pages	11
Journal	Journal of Computational Physics
Volume	373
DOIs	https://doi.org/10.1016/j.jcp.2018.07.022
State	Published - 15 Nov 2018
Externally published	Yes

Keywords

Carbuncle phenomenon
HLL
Hypersonic
Robustness
Roe
Shock-stable

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10.1016/j.jcp.2018.07.022

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title = "Affordable shock-stable item for Godunov-type schemes against carbuncle phenomenon",

abstract = "The work proposes a simple, efficient and unified approach to combat carbuncle phenomenon. The basic idea of this approach is to construct an affordable shock-stable item into numerical flux. This item is acquired by comparing three-wave Roe solver and two-wave HLL solver based on Roe linearization and the projection of difference term. It is consistent with shear viscosity and meantime restrained by the pressure-based sensing function for shear layer. The proposed enhancement is easy to implement and apply within Roe, HLLEM, HLLC, AUSM+, etc. Several well-known cases illuminate its shock robustness and potential application to hypersonic flows.",

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author = "Chen, {Shu sheng} and Chao Yan and Lin, {Bo xi} and Liu, {Li yuan} and Jian Yu",

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T1 - Affordable shock-stable item for Godunov-type schemes against carbuncle phenomenon

AU - Chen, Shu sheng

AU - Yan, Chao

AU - Lin, Bo xi

AU - Liu, Li yuan

AU - Yu, Jian

PY - 2018/11/15

Y1 - 2018/11/15

N2 - The work proposes a simple, efficient and unified approach to combat carbuncle phenomenon. The basic idea of this approach is to construct an affordable shock-stable item into numerical flux. This item is acquired by comparing three-wave Roe solver and two-wave HLL solver based on Roe linearization and the projection of difference term. It is consistent with shear viscosity and meantime restrained by the pressure-based sensing function for shear layer. The proposed enhancement is easy to implement and apply within Roe, HLLEM, HLLC, AUSM+, etc. Several well-known cases illuminate its shock robustness and potential application to hypersonic flows.

AB - The work proposes a simple, efficient and unified approach to combat carbuncle phenomenon. The basic idea of this approach is to construct an affordable shock-stable item into numerical flux. This item is acquired by comparing three-wave Roe solver and two-wave HLL solver based on Roe linearization and the projection of difference term. It is consistent with shear viscosity and meantime restrained by the pressure-based sensing function for shear layer. The proposed enhancement is easy to implement and apply within Roe, HLLEM, HLLC, AUSM+, etc. Several well-known cases illuminate its shock robustness and potential application to hypersonic flows.

KW - Carbuncle phenomenon

KW - HLL

KW - Hypersonic

KW - Robustness

KW - Roe

KW - Shock-stable

UR - http://www.scopus.com/inward/record.url?scp=85050101281&partnerID=8YFLogxK

U2 - 10.1016/j.jcp.2018.07.022

DO - 10.1016/j.jcp.2018.07.022

M3 - 文章

AN - SCOPUS:85050101281

SN - 0021-9991

VL - 373

SP - 662

EP - 672

JO - Journal of Computational Physics

JF - Journal of Computational Physics

ER -

Affordable shock-stable item for Godunov-type schemes against carbuncle phenomenon

Abstract

Keywords

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