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

Jan Nordström; Jing Gong; Edwin Theodorus Antonius 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 Theodorus Antonius van der Weide, Magnus Svärd

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

115 Citations (Scopus)

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	Undefined
Pages (from-to)	9020-9035
Journal	Journal of computational physics
Volume	228
Issue number	24
DOIs	https://doi.org/10.1016/j.jcp.2009.09.005
Publication status	Published - 2009

Keywords

Stability
Finite difference
Conservation
High order
IR-80105
Navier–Stokes

Access to Document

10.1016/j.jcp.2009.09.005

Cite this

@article{f6cf690e3e9e4ea1b94415c74683c51c,

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 = "Stability, Finite difference, Conservation, High order, IR-80105, Navier–Stokes",

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

year = "2009",

doi = "10.1016/j.jcp.2009.09.005",

language = "Undefined",

volume = "228",

pages = "9020--9035",

journal = "Journal of computational physics",

issn = "0021-9991",

publisher = "Academic Press Inc.",

number = "24",

}

TY - JOUR

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 Theodorus Antonius

AU - Svärd, Magnus

PY - 2009

Y1 - 2009

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 - Stability

KW - Finite difference

KW - Conservation

KW - High order

KW - IR-80105

KW - Navier–Stokes

U2 - 10.1016/j.jcp.2009.09.005

DO - 10.1016/j.jcp.2009.09.005

M3 - Article

VL - 228

SP - 9020

EP - 9035

JO - Journal of computational physics

JF - Journal of computational physics

SN - 0021-9991

IS - 24

ER -