A skew-symmetric energy stable almost dissipation free formulation of the compressible Navier-Stokes equations

Jan Nordström

doi:10.1016/j.jcp.2024.113145

A skew-symmetric energy stable almost dissipation free formulation of the compressible Navier-Stokes equations

Jan Nordström

Mathematics and Applied Mathematics

Linköping University

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

Abstract

We show that a specific skew-symmetric formulation of the nonlinear terms in the compressible Navier-Stokes equations leads to an energy rate in terms of surface integrals only. No dissipative volume integrals contribute to the energy rate. We also discuss boundary conditions that bounds the surface integrals.

Original language	English
Article number	113145
Journal	Journal of Computational Physics
Volume	512
DOIs	https://doi.org/10.1016/j.jcp.2024.113145
Publication status	Published - 1 Sept 2024

Keywords

Compressible Navier-Stokes equations
Energy stability
Initial boundary value problems
Nonlinear boundary conditions
Skew-symmetric formulation
Summation-by-parts

ASJC Scopus subject areas

Numerical Analysis
Modeling and Simulation
Physics and Astronomy (miscellaneous)
General Physics and Astronomy
Computer Science Applications
Computational Mathematics
Applied Mathematics

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10.1016/j.jcp.2024.113145

Cite this

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title = "A skew-symmetric energy stable almost dissipation free formulation of the compressible Navier-Stokes equations",

abstract = "We show that a specific skew-symmetric formulation of the nonlinear terms in the compressible Navier-Stokes equations leads to an energy rate in terms of surface integrals only. No dissipative volume integrals contribute to the energy rate. We also discuss boundary conditions that bounds the surface integrals.",

keywords = "Compressible Navier-Stokes equations, Energy stability, Initial boundary value problems, Nonlinear boundary conditions, Skew-symmetric formulation, Summation-by-parts",

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KW - Energy stability

KW - Initial boundary value problems

KW - Nonlinear boundary conditions

KW - Skew-symmetric formulation

KW - Summation-by-parts

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A skew-symmetric energy stable almost dissipation free formulation of the compressible Navier-Stokes equations

Abstract

Keywords

ASJC Scopus subject areas

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