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

106 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

Nordström, J., Gong, J., van der Weide, E. T. A., & Svärd, M. (2009). A stable and conservative high order multi-block method for the compressible Navier-Stokes equations. Journal of computational physics, 228(24), 9020-9035. https://doi.org/10.1016/j.jcp.2009.09.005

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AU - Svärd, Magnus

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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

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