An entropy stable nodal discontinuous Galerkin method for the resistive MHD equations. II: Subcell finite volume shock capturing
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Publication:2132672
DOI10.1016/j.jcp.2021.110580OpenAlexW3115807163MaRDI QIDQ2132672
Sebastian Hennemann, Andrew R. Winters, Gregor J. Gassner, Florian J. Hindenlang, Andrés Mauricio Rueda-Ramírez
Publication date: 28 April 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2012.12040
shock capturingentropy stabilitycompressible magnetohydrodynamicsdiscontinuous Galerkin spectral element methods
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)
Related Items (10)
A well-balanced and exactly divergence-free staggered semi-implicit hybrid finite volume / finite element scheme for the incompressible MHD equations ⋮ A flux-differencing formulation with Gauss nodes ⋮ A flux-differencing formula for split-form summation by parts discretizations of non-conservative systems. Applications to subcell limiting for magneto-hydrodynamics ⋮ Entropy-stable Gauss collocation methods for ideal magneto-hydrodynamics ⋮ Admissibility preserving subcell limiter for Lax-Wendroff flux reconstruction ⋮ An entropy stable discontinuous Galerkin method for the two-layer shallow water equations on curvilinear meshes ⋮ Subcell limiting strategies for discontinuous Galerkin spectral element methods ⋮ A simple and general framework for the construction of thermodynamically compatible schemes for computational fluid and solid mechanics ⋮ A new family of thermodynamically compatible discontinuous Galerkin methods for continuum mechanics and turbulent shallow water flows ⋮ Conservative and Accurate Solution Transfer Between High-Order and Low-Order Refined Finite Element Spaces
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