A second-order accurate, component-wise TVD scheme for nonlinear, hyperbolic conservation laws

DOI10.1006/jcph.2001.6834zbMath0987.65084OpenAlexW1963592695MaRDI QIDQ5953222

Yu-Ping Liu, Heng Yu

Publication date: 27 January 2002

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

Full work available at URL: https://doi.org/10.1006/jcph.2001.6834

zbMATH Keywords

numerical resultsEuler systemsnonlinear, hyperbolic conservation lawstotal variation diminishing scheme

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (6)

The dominant wave-capturing flux: A finite-volume scheme without decomposition for systems of hyperbolic conservation laws ⋮ Thermally enhanced gravity driven flows ⋮ Explicit small-scale velocity simulation for high-Re turbulent flows. II: Non-homogeneous flows ⋮ A predictor-corrector symmetric TVD scheme for magnetogasdynamic flow ⋮ Smoothed MHD equations for numerical simulations of ideal quasi-neutral gas dynamic flows ⋮ Construction of monotonic schemes by the differential approximation method

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• A contribution to the great Riemann solver debate

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