A Highly Accurate Numerical Method for Flow Problems with Interactions of Discontinuities

Xiao Nan Wu; You Lan Zhu

A Highly Accurate Numerical Method for Flow Problems with Interactions of Discontinuities

Xiao Nan Wu
, You Lan Zhu

Department of Mathematics

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

Abstract

A type of shock fitting method is used to solve some two and three dimensional flow problems with interactions of various discontinuities. The numerical results show that high accuracy is achieved for the flow field, especially at the discontinuities. Comparisons with the Lax-Friedrichs scheme and the ENO scheme confirm the accuracy of the method.

Original language	English
Pages (from-to)	1-14
Number of pages	14
Journal	Journal of Computational Mathematics
Volume	20
Issue number	1
Publication status	Published - Jan 2002

User-Defined Keywords

Interaction of discontinuity
Shock-capturing
Shock-fitting

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Cite this

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title = "A Highly Accurate Numerical Method for Flow Problems with Interactions of Discontinuities",

abstract = "A type of shock fitting method is used to solve some two and three dimensional flow problems with interactions of various discontinuities. The numerical results show that high accuracy is achieved for the flow field, especially at the discontinuities. Comparisons with the Lax-Friedrichs scheme and the ENO scheme confirm the accuracy of the method.",

keywords = "Interaction of discontinuity, Shock-capturing, Shock-fitting",

author = "Wu, \{Xiao Nan\} and Zhu, \{You Lan\}",

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AU - Wu, Xiao Nan

AU - Zhu, You Lan

N1 - Funding information: The work was supported in part by the North Carolina Supercomputing Center, the RGC of Hong Kong, and the FRG of Hong Kong Baptist University. Publisher copyright: © Global Science Press

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N2 - A type of shock fitting method is used to solve some two and three dimensional flow problems with interactions of various discontinuities. The numerical results show that high accuracy is achieved for the flow field, especially at the discontinuities. Comparisons with the Lax-Friedrichs scheme and the ENO scheme confirm the accuracy of the method.

AB - A type of shock fitting method is used to solve some two and three dimensional flow problems with interactions of various discontinuities. The numerical results show that high accuracy is achieved for the flow field, especially at the discontinuities. Comparisons with the Lax-Friedrichs scheme and the ENO scheme confirm the accuracy of the method.

KW - Interaction of discontinuity

KW - Shock-capturing

KW - Shock-fitting

UR - https://www.scopus.com/pages/publications/0036157437

M3 - Journal article

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JO - Journal of Computational Mathematics

JF - Journal of Computational Mathematics

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ER -

A Highly Accurate Numerical Method for Flow Problems with Interactions of Discontinuities

Abstract

User-Defined Keywords

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