A stable and conservative high order multi-block method for the compressible Navier-Stokes equations

Jan Nordström; Jing Gong; Edwin van der Weide; Magnus Svärd

doi:10.1016/j.jcp.2009.09.005

A stable and conservative high order multi-block method for the compressible Navier-Stokes equations

Jan Nordström^*, Jing Gong, Edwin van der Weide, Magnus Svärd

^*Corresponding author for this work

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Abstract

A stable and conservative high order multi-block method for the time-dependent compressible Navier-Stokes equations has been developed. Stability and conservation are proved using summation-by-parts operators, weak interface conditions and the energy method. This development makes it possible to exploit the efficiency of the high order finite difference method for non-trivial geometries. The computational results corroborate the theoretical analysis.

Original language	English
Pages (from-to)	9020-9035
Number of pages	16
Journal	Journal of computational physics
Volume	228
Issue number	24
DOIs	https://doi.org/10.1016/j.jcp.2009.09.005
Publication status	Published - 20 Dec 2009

Keywords

Conservation
Finite difference
High order
Navier-Stokes
Stability

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10.1016/j.jcp.2009.09.005

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title = "A stable and conservative high order multi-block method for the compressible Navier-Stokes equations",

abstract = "A stable and conservative high order multi-block method for the time-dependent compressible Navier-Stokes equations has been developed. Stability and conservation are proved using summation-by-parts operators, weak interface conditions and the energy method. This development makes it possible to exploit the efficiency of the high order finite difference method for non-trivial geometries. The computational results corroborate the theoretical analysis.",

keywords = "Conservation, Finite difference, High order, Navier-Stokes, Stability",

author = "Jan Nordstr{\"o}m and Jing Gong and \{van der Weide\}, Edwin and Magnus Sv{\"a}rd",

year = "2009",

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language = "English",

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T1 - A stable and conservative high order multi-block method for the compressible Navier-Stokes equations

AU - Nordström, Jan

AU - Gong, Jing

AU - van der Weide, Edwin

AU - Svärd, Magnus

PY - 2009/12/20

Y1 - 2009/12/20

N2 - A stable and conservative high order multi-block method for the time-dependent compressible Navier-Stokes equations has been developed. Stability and conservation are proved using summation-by-parts operators, weak interface conditions and the energy method. This development makes it possible to exploit the efficiency of the high order finite difference method for non-trivial geometries. The computational results corroborate the theoretical analysis.

AB - A stable and conservative high order multi-block method for the time-dependent compressible Navier-Stokes equations has been developed. Stability and conservation are proved using summation-by-parts operators, weak interface conditions and the energy method. This development makes it possible to exploit the efficiency of the high order finite difference method for non-trivial geometries. The computational results corroborate the theoretical analysis.

KW - Conservation

KW - Finite difference

KW - High order

KW - Navier-Stokes

KW - Stability

UR - https://www.scopus.com/pages/publications/70350018301

U2 - 10.1016/j.jcp.2009.09.005

DO - 10.1016/j.jcp.2009.09.005

M3 - Article

SN - 0021-9991

VL - 228

SP - 9020

EP - 9035

JO - Journal of computational physics

JF - Journal of computational physics

IS - 24

ER -

A stable and conservative high order multi-block method for the compressible Navier-Stokes equations

Abstract

Keywords

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