A well-balanced and positivity-preserving numerical model for shallow water flows in channels with wet-dry fronts

DOI10.1007/S10915-020-01362-2zbMath1456.65085OpenAlexW3107065518MaRDI QIDQ2219648

Xin Liu

Publication date: 20 January 2021

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-020-01362-2

zbMATH Keywords

shallow water equationswell-balanced methodpositivity-preserving methodchannels with irregular geometrywet-dry fronts

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Initial value problems for first-order hyperbolic systems (35L45) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (2)

An automatically well-balanced formulation of pressure forcing for discontinuous Galerkin methods for the shallow water equations ⋮ High-order well-balanced and positivity-preserving finite-difference AWENO scheme with hydrostatic reconstruction for shallow water equations

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