The random choice method and the free-surface water profile after the collapse of a dam wall

DOI10.1016/0165-2125(82)90006-3zbMath0495.76026OpenAlexW2005379927MaRDI QIDQ1169882

Alan Jeffrey, John R. Mvungi

Publication date: 1982

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0165-2125(82)90006-3

zbMATH Keywords

shallow water equationsfree-surface profiledam wall suddenly collapsesGlimm-Chorin scheme

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Basic methods in fluid mechanics (76M99)

Cites Work

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• Random choice solution of hyperbolic systems
• Random choice methods with applications to reacting gas flow
• Numerical solutions to water waves generated by shallow underwater explosions
• A numerical study of a converging cylindrical shock
• Solutions in the large for nonlinear hyperbolic systems of equations
• The formation of breakers and bores the theory of nonlinear wave propagation in shallow water and open channels
• Layering methods for nonlinear partial differential equations of first order

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