On the relevance of the dam break problem in the context of nonlinear shallow water equations

DOI10.3934/dcdsb.2010.13.799zbMath1330.76021arXiv0903.3670OpenAlexW2029916387MaRDI QIDQ973673

Denys Dutykh, Dimitrios Mitsotakis

Publication date: 2 June 2010

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0903.3670

zbMATH Keywords

finite volume methodshallow water equationstwo-phase flowfree surface flowdam break problem

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Liquid-gas two-phase flows, bubbly flows (76T10) Finite volume methods applied to problems in solid mechanics (74S10)

Related Items (6)

Partitioned solution to fluid-structure interaction problem in application to free-surface flows ⋮ Solving free-surface problems for non-shallow water using boundary and initial conditions-free physics-informed neural network (bif-PINN) ⋮ Non-dispersive conservative regularisation of nonlinear shallow water (and isentropic Euler equations) ⋮ Detailed simulation of complex hydraulic problems with macroscopic and mesoscopic mathematical methods ⋮ Modified shallow water equations for significantly varying seabeds ⋮ A hyperbolic model for granular flow

Uses Software

• MOST

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