An entropy satisfying MUSCL scheme for systems of conservation laws
From MaRDI portal
Publication:1923278
DOI10.1007/s002110050205zbMath0860.65076OpenAlexW2009988319MaRDI QIDQ1923278
Frédéric Coquel, Philippe G. LeFloch
Publication date: 14 April 1997
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s002110050205
convergencehyperbolic system of conservation lawsdiscrete entropy inequalitiesentropy diminishing criteriontotal variation diminishing criterion
Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)
Related Items
A non-dissipative entropic scheme for convex scalar equations via discontinuous cell-re\-con\-struction ⋮ An entropy stable nodal discontinuous Galerkin method for the resistive MHD equations. II: Subcell finite volume shock capturing ⋮ Entropy stable, robust and high-order DGSEM for the compressible multicomponent Euler equations ⋮ Entropic approximation in kinetic theory ⋮ Unnamed Item ⋮ Invariant Domain Preserving High-Order Spectral Discontinuous Approximations of Hyperbolic Systems ⋮ Convergence of finite volume schemes for the Euler equations via dissipative measure-valued solutions ⋮ A robust high-order Lagrange-projection like scheme with large time steps for the isentropic Euler equations ⋮ Weakly nonoscillatory schemes for scalar conservation laws ⋮ The reservoir technique: a way to make Godunov-type schemes zero or very low diffuse. Application to Colella-Glaz solver ⋮ Generalized monotone schemes, discrete paths of extrema, and discrete entropy conditions ⋮ A new TVD-MUSCL scheme for hyperbolic conservation laws