Entropy-stable space–time DG schemes for non-conservative hyperbolic systems

DOI10.1051/m2an/2017056zbMath1405.65121OpenAlexW2767208509MaRDI QIDQ4561150

Siddhartha Mishra, Andreas Hiltebrand

Publication date: 10 December 2018

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10852/72949

zbMATH Keywords

streamline diffusionshock-capturing methodsentropy-stabilityspace-time discontinuous Galerkin methodstwo-layer shallow water systemmultidimensional nonconservative hyperbolic systems

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Shock waves and blast waves in fluid mechanics (76L05) First-order nonlinear hyperbolic equations (35L60) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (5)

An entropy stable high-order discontinuous Galerkin spectral element method for the Baer-Nunziato two-phase flow model ⋮ In-cell discontinuous reconstruction path-conservative methods for non conservative hyperbolic systems -- second-order extension ⋮ A family of second-order dissipative finite volume schemes for hyperbolic systems of conservation laws ⋮ Numerical path preserving Godunov schemes for hyperbolic systems ⋮ A discontinuous Galerkin spectral element method for a nonconservative compressible multicomponent flow model

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