Entropy stable discontinuous Galerkin methods for balance laws in non-conservative form: applications to the Euler equations with gravity
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Publication:2168326
DOI10.1016/j.jcp.2022.111507OpenAlexW4289342468MaRDI QIDQ2168326
Maciej Waruszewski, Lucas C. Wilcox, T. H. Gibson, Francis X. Giraldo, Jeremy Edward Kozdon
Publication date: 31 August 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2110.15920
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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Schur complement IMplicit-EXplicit formulations for discontinuous Galerkin non-hydrostatic atmospheric models ⋮ Entropy and energy conservation for thermal atmospheric dynamics using mixed compatible finite elements ⋮ Conservation and stability in a discontinuous Galerkin method for the vector invariant spherical shallow water equations ⋮ Fully well-balanced entropy controlled discontinuous Galerkin spectral element method for shallow water flows: global flux quadrature and cell entropy correction ⋮ An entropy stable discontinuous Galerkin method for the two-layer shallow water equations on curvilinear meshes ⋮ A discontinuous Galerkin spectral element method for a nonconservative compressible multicomponent flow model
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