Application of a fractional step method for the numerical solution of the shallow water waves in a rotating rectangular basin

DOI10.1080/00207160802624158zbMath1337.76003OpenAlexW2051377713MaRDI QIDQ3056363

Mina B. Abd-El-malek, Medhat M. Helal

Publication date: 12 November 2010

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/49692

zbMATH Keywords

shallow water equationsRiemann invariantsrotating fluidscubic spline interpolationfractional steps method

Mathematics Subject Classification ID

General theory of rotating fluids (76U05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Free-surface potential flows for incompressible inviscid fluids (76B07)

Cites Work

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• The application of a fractional steps method for the numerical solution of the shallow water equations
• The method of fractional steps for conservation laws
• A numerical method for simulating discontinuous shallow flow over an infiltrating surface
• Shallow water waves in a rotating rectangular basin

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