A highly accurate numerical method for two- and three-dimensional shock reflection problems

Xiaonan Wu; You Lan Zhu

doi:10.1016/0045-7930(95)00042-9

A highly accurate numerical method for two- and three-dimensional shock reflection problems

Xiaonan Wu^*
, You Lan Zhu

^*Corresponding author for this work

Department of Mathematics

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

2 Citations (Scopus)

Abstract

A type of shock fitting method is used to solve some two-dimensional shock reflection problems. Numerical results show that the convergence rate of the method is about second order. Comparisons with the Lax - Friedrichs scheme and the ENO scheme show that the results obtained by the shock fitting method are very accurate. The method is generalized to solve three-dimensional shock reflection problems, the numerical example shows that highly accurate results can also be obtained by the shock fitting method.

Original language	English
Pages (from-to)	295-317
Number of pages	23
Journal	Computers and Fluids
Volume	25
Issue number	3
DOIs	https://doi.org/10.1016/0045-7930(95)00042-9
Publication status	Published - Mar 1996

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10.1016/0045-7930(95)00042-9

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title = "A highly accurate numerical method for two- and three-dimensional shock reflection problems",

abstract = "A type of shock fitting method is used to solve some two-dimensional shock reflection problems. Numerical results show that the convergence rate of the method is about second order. Comparisons with the Lax - Friedrichs scheme and the ENO scheme show that the results obtained by the shock fitting method are very accurate. The method is generalized to solve three-dimensional shock reflection problems, the numerical example shows that highly accurate results can also be obtained by the shock fitting method.",

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

note = "Funding Information: tl”his work was supported in part by the North Carolina Supercomputing Center.",

year = "1996",

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doi = "10.1016/0045-7930(95)00042-9",

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pages = "295--317",

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T1 - A highly accurate numerical method for two- and three-dimensional shock reflection problems

AU - Wu, Xiaonan

AU - Zhu, You Lan

N1 - Funding Information: tl”his work was supported in part by the North Carolina Supercomputing Center.

PY - 1996/3

Y1 - 1996/3

N2 - A type of shock fitting method is used to solve some two-dimensional shock reflection problems. Numerical results show that the convergence rate of the method is about second order. Comparisons with the Lax - Friedrichs scheme and the ENO scheme show that the results obtained by the shock fitting method are very accurate. The method is generalized to solve three-dimensional shock reflection problems, the numerical example shows that highly accurate results can also be obtained by the shock fitting method.

AB - A type of shock fitting method is used to solve some two-dimensional shock reflection problems. Numerical results show that the convergence rate of the method is about second order. Comparisons with the Lax - Friedrichs scheme and the ENO scheme show that the results obtained by the shock fitting method are very accurate. The method is generalized to solve three-dimensional shock reflection problems, the numerical example shows that highly accurate results can also be obtained by the shock fitting method.

UR - https://www.scopus.com/pages/publications/0030106998

U2 - 10.1016/0045-7930(95)00042-9

DO - 10.1016/0045-7930(95)00042-9

M3 - Journal article

AN - SCOPUS:0030106998

SN - 0045-7930

VL - 25

SP - 295

EP - 317

JO - Computers and Fluids

JF - Computers and Fluids

IS - 3

ER -

A highly accurate numerical method for two- and three-dimensional shock reflection problems

Abstract

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