Well-balanced positivity preserving adaptive moving mesh central-upwind schemes for the Saint-Venant system

DOI10.1051/m2an/2022041zbMath1501.65050OpenAlexW4224998040MaRDI QIDQ5867509

Tong Wu, Zhuolin Qu, Alexander Kurganov

Publication date: 14 September 2022

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/m2an/2022041

zbMATH Keywords

finite-volume methodswell-balanced methodscentral-upwind schemespositivity preserving methodsadaptive moving mesh methodsmoving mesh differential equationsSaint-Venant systems of shallow water equations

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite volume methods applied to problems in fluid mechanics (76M12) Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Computational methods for problems pertaining to geophysics (86-08) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Finite volume methods for boundary value problems involving PDEs (65N08)

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