Stability issues of entropy-stable and/or split-form high-order schemes. Analysis of linear stability
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Publication:2077460
DOI10.1007/s10915-021-01720-8OpenAlexW3042937914MaRDI QIDQ2077460
Gregor J. Gassner, Florian J. Hindenlang, Magnus Svärd
Publication date: 21 February 2022
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2007.09026
linear stabilitydiscontinuous Galerkinenergy stabilitysummation-by-partsnon-linear stabilitysplit-formentropy-conserving two-point fluxentropy-stable high-order scheme
Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Hyperbolic equations and hyperbolic systems (35Lxx)
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Preventing pressure oscillations does not fix local linear stability issues of entropy-based split-form high-order schemes, A note on numerical fluxes conserving a member of Harten's one-parameter family of entropies for the compressible Euler equations, Analysis of an alternative Navier–Stokes system: Weak entropy solutions and a convergent numerical scheme, A study of the diffusive properties of a modified compressible Navier-Stokes model, Entropy stability for the compressible Navier-Stokes equations with strong imposition of the no-slip boundary condition
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Cites Work
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