Upwind finite-volume method with a triangular mesh for conservation laws

DOI10.1006/jcph.1993.1147zbMath0791.65067OpenAlexW1981855854MaRDI QIDQ686606

San-Yih Lin, Yan-Shin Chin, Tsuen-Muh Wu

Publication date: 13 October 1993

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jcph.1993.1147

zbMATH Keywords

maximum principlenumerical experimentsEuler equationshyperbolic conservation lawsorder of convergenceupwind schemefinite-volume solution

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)

Related Items (7)

Positive cell-centered finite volume discretization methods for hyperbolic equations on irregular meshes ⋮ An asymptotic-preserving all-speed scheme for the Euler and Navier-Stokes equations ⋮ Covolume-upwind finite volume approximations for linear elliptic partial differential equations ⋮ Hysteresis phenomenon in supersonic flow past a system of cylinders ⋮ Stability of Newton TVD Runge-Kutta scheme for one-dimensional Euler equations with adaptive mesh ⋮ High resolution finite volume scheme for the quantum hydrodynamic equations ⋮ A positive spatial advection scheme on unstructured meshes for tracer transport

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