Upwinding sources at interfaces in conservation laws.

DOI10.1016/S0893-9659(04)90068-7zbMath1061.65080WikidataQ60502892 ScholiaQ60502892MaRDI QIDQ1764511

Theodoros Katsaounis, Chiara Simeoni, Perthame, Benoît

Publication date: 25 February 2005

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

stabilityerror estimatesconsistencyhyperbolic conservation lawsfinite-volume schemesupwind sources at interfaces

Mathematics Subject Classification ID

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)

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Recent advances on the discontinuous Galerkin method for shallow water equations with topography source terms, A shallow water with variable pressure model for blood flow simulation, A staggered projection scheme for viscoelastic flows, Well-Balanced Finite-Volume Schemes for Hydrodynamic Equations with General Free Energy, A kinetic scheme for the Savage-Hutter equations, Upwinding of the source term at interfaces for Euler equations with high friction, Three-points interfacial quadrature for geometrical source terms on nonuniform grids, Capturing shock waves in inelastic granular gases, Asymptotic preserving scheme for the shallow water equations with source terms on unstructured meshes

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