A skew-symmetric energy stable almost dissipation free formulation of the compressible Navier-Stokes equations
Journal of Computational Physics(2024)
摘要
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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关键词
Initial boundary value problems,Skew-symmetric formulation,Compressible Navier-Stokes equations,Energy stability,Summation-by-parts,Nonlinear boundary conditions
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