Second-Order Fully Discrete Central-Upwind Scheme for Two-Dimensional Hyperbolic Systems of Conservation Laws

DOI10.1137/15M1038670zbMath1364.76117OpenAlexW2618073375WikidataQ57428373 ScholiaQ57428373MaRDI QIDQ5268986

Tong Wu, Alexander Kurganov, Martina Prugger

Publication date: 14 June 2017

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/15m1038670

zbMATH Keywords

central-upwind schemesEuler equations of gas dynamicsGodunov-type finite-volume schemestwo-dimensional hyperbolic systems of conservation laws

Mathematics Subject Classification ID

Finite volume methods applied to problems in fluid mechanics (76M12) Hyperbolic conservation laws (35L65) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (16)

Semi-discrete central-upwind Rankine-Hugoniot schemes for hyperbolic systems of conservation laws ⋮ An adaptive well-balanced positivity preserving central-upwind scheme on quadtree grids for shallow water equations ⋮ A Well-Balanced Asymptotic Preserving Scheme for the Two-Dimensional Rotating Shallow Water Equations with Nonflat Bottom Topography ⋮ Fifth-order A-WENO schemes based on the path-conservative central-upwind method ⋮ Well-balanced numerical method for atmospheric flow equations with gravity ⋮ Adaptive High-Order A-WENO Schemes Based on a New Local Smoothness Indicator ⋮ New low-dissipation central-upwind schemes ⋮ Fifth-order A-WENO schemes based on the adaptive diffusion central-upwind Rankine-Hugoniot fluxes ⋮ Numerical dissipation switch for two-dimensional central-upwind schemes ⋮ One-dimensional/two-dimensional coupling approach with quadrilateral confluence region for modeling river systems ⋮ A positivity-preserving central-upwind scheme for isentropic two-phase flows through deviated pipes ⋮ Well-balanced positivity preserving central-upwind scheme with a novel wet/dry reconstruction on triangular grids for the Saint-Venant system ⋮ Path-conservative central-upwind schemes for nonconservative hyperbolic systems ⋮ Finite-volume schemes for shallow-water equations ⋮ A new approach for designing moving-water equilibria preserving schemes for the shallow water equations ⋮ Local characteristic decomposition based central-upwind scheme

Uses Software

• HE-E1GODF

Cites Work

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