Numerical simulations of a non-hydrostatic shallow water model

DOI10.1016/j.compfluid.2011.02.013zbMath1271.76035OpenAlexW2006049021MaRDI QIDQ365350

Nicole Goutal, Jacques Sainte-Marie, Marie-Odile Bristeau

Publication date: 4 September 2013

Published in: Computers and Fluids (Search for Journal in Brave)

Full work available at URL: http://www.sciencedirect.com/science/article/pii/S0045793011000727

zbMATH Keywords

Navier-Stokes equationsfree surfaceasymptotic analysisBoussinesq equationsSaint-Venant equationsdispersive terms

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite volume methods applied to problems in fluid mechanics (76M12) Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing (76B10)

Related Items

A combined finite volume -- finite element scheme for a dispersive shallow water system ⋮ Upwind residual discretization of enhanced Boussinesq equations for wave propagation over complex bathymetries ⋮ Dispersive Shallow Water Wave Modelling. Part II: Numerical Simulation on a Globally Flat Space ⋮ Finite-Volume-Particle Methods for the Two-Component Camassa-Holm System ⋮ On the modeling and simulation of non-hydrostatic dam break flows ⋮ Kinetic entropy inequality and hydrostatic reconstruction scheme for the Saint-Venant system ⋮ An energy-consistent depth-averaged Euler system: derivation ⋮ Extension of artificial viscosity technique for solving 2D non-hydrostatic shallow water equations

Uses Software

• MASCARET

Cites Work

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