A purely hyperbolic discontinuous Galerkin approach for self-gravitating gas dynamics
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Publication:2130998
DOI10.1016/j.jcp.2021.110467OpenAlexW3080513263WikidataQ115571349 ScholiaQ115571349MaRDI QIDQ2130998
Gregor J. Gassner, Andrew R. Winters, Hendrik Ranocha, Michael Schlottke-Lakemper
Publication date: 25 April 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2008.10593
adaptive mesh refinementcompressible Euler equationsdiscontinuous Galerkin spectral element methodhyperbolic self-gravitymulti-physics simulation
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 ⋮ Convergence of discontinuous Galerkin schemes for the Euler equations via dissipative weak solutions ⋮ A discontinuous Galerkin discretization of elliptic problems with improved convergence properties using summation by parts operators ⋮ Admissibility preserving subcell limiter for Lax-Wendroff flux reconstruction ⋮ Many-stage optimal stabilized Runge-Kutta methods for hyperbolic partial differential equations ⋮ An entropy stable discontinuous Galerkin method for the two-layer shallow water equations on curvilinear meshes ⋮ \texttt{HORSES3D}: a high-order discontinuous Galerkin solver for flow simulations and multi-physics applications ⋮ Subcell limiting strategies for discontinuous Galerkin spectral element methods
Uses Software
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