The Riemann problem for the one-dimensional, free-surface shallow water equations with a bed step: theoretical analysis and numerical simulations

DOI10.1016/j.jcp.2009.10.010zbMath1253.76014OpenAlexW2021554530MaRDI QIDQ2655669

Giorgio Rosatti, Lorenzo Begnudelli

Publication date: 25 January 2010

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2009.10.010

zbMATH Keywords

shallow water equationsRiemann problemsnonconservative systemsgeneralized Roe solvercontact wavesbed discontinuity

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

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