Constraint Preserving Schemes Using Potential-Based Fluxes. II. Genuinely Multidimensional Systems of Conservation Laws

DOI10.1137/090770138zbMath1231.65143OpenAlexW2076166471MaRDI QIDQ3097444

Eitan Tadmor, Siddhartha Mishra

Publication date: 10 November 2011

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/6266e01ce323bcecedc9339b2ceae980e5e72545

zbMATH Keywords

nonlinear conservation lawscentral difference schemesconstraint transportmultidimensional evolution equationspotential-based fluxes

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items (8)

Truly multi-dimensional all-speed schemes for the Euler equations on Cartesian grids ⋮ My way: a computational autobiography ⋮ Stationarity preservation properties of the active flux scheme on Cartesian grids ⋮ All-speed numerical methods for the Euler equations via a sequential explicit time integration ⋮ Stationarity preserving schemes for multi-dimensional linear systems ⋮ Roe-type schemes for shallow water magnetohydrodynamics with hyperbolic divergence cleaning ⋮ Stability of a Kirchhoff-Roe scheme for two-dimensional linearized Euler systems ⋮ The active flux scheme on Cartesian grids and its low Mach number limit

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