A 1D Roe decomposition of a system of equations governing wave height transformation

DOI10.1002/FLD.2638zbMath1253.76008OpenAlexW2166480860MaRDI QIDQ4898039

Laura C. MacHardy, Nicholas Dodd

Publication date: 29 December 2012

Published in: International Journal for Numerical Methods in Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/fld.2638

zbMATH Keywords

Roe decompositionwave height transformationwavegroups

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite volume methods applied to problems in fluid mechanics (76M12) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Uses Software

• HE-E1GODF

Cites Work

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• Approximate Riemann solutions of the two-dimensional shallow-water equations
• Approximate Riemann solvers, parameter vectors, and difference schemes
• Mathematical balancing of flux gradient and source terms prior to using Roe's approximate Riemann solver.
• Integral flow properties of the swash zone and averaging
• The surface gradient method for the treatment of source terms in the shallow-water equations

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