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A skew-symmetric energy stable almost dissipation free formulation of the compressible Navier-Stokes equations
Journal article   Open access   Peer reviewed

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

Jan Nordström
Journal of computational physics, Vol.512, p.113145
2024
Handle:
https://hdl.handle.net/10210/512735

Abstract

Compressible Navier-Stokes equations Energy stability Initial boundary value problems Nonlinear boundary conditions Skew-symmetric formulation Summation-by-parts
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.
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url
https://doi.org/10.1016/j.jcp.2024.113145View
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