A numerical technique for applying time splitting methods in shallow water equations

DOI10.1016/J.COMPFLUID.2017.10.003zbMath1410.76248OpenAlexW2762511359MaRDI QIDQ720869

Vicente Martínez

Publication date: 18 July 2018

Published in: Computers and Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.compfluid.2017.10.003

zbMATH Keywords

shallow water equationssource termssplitting methods

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) Finite volume methods applied to problems in fluid mechanics (76M12) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Cites Work

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• Upwind schemes for the two-dimensional shallow water equations with variable depth using unstructured meshes
• On splitting methods for Schrödinger-Poisson and cubic nonlinear Schrödinger equations
• Operator splitting for the KdV equation
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• A numerical model for the flooding and drying of irregular domains
• A Well-Balanced Scheme for the Numerical Processing of Source Terms in Hyperbolic Equations
• Solution of the 2‐D shallow water equations with source terms in surface elevation splitting form

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