Different approximations of shallow fluid flow over an obstacle

DOI10.1063/1.869009zbMath1082.76509OpenAlexW2156335882MaRDI QIDQ4426466

Piotr K. Smolarkiewicz, Len G. Margolin, Balasubramanya T. Nadiga

Publication date: 1996

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

Full work available at URL: https://semanticscholar.org/paper/d2fc64aee17760ba5972a79e3ee396d3a38a5b0b

zbMATH Keywords

Green-Naghdi equationsgeneralized Boussinesq equationshyperbolic shallow water equations

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

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Cites Work

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• Composite flows
• A class of monotone interpolation schemes
• A small-scale dynamic model using a terrain-following coordinate transformation
• An adaptive discrete-velocity model for the shallow water equations
• Waves caused by a moving disturbance in a shallow channel of finite width
• Weakly dispersive nonlinear gravity waves
• On direct methods in water-wave theory
• On the theory of water waves
• A derivation of equations for wave propagation in water of variable depth
• Korteweg-de Vries Equation and Generalizations. III. Derivation of the Korteweg-de Vries Equation and Burgers Equation
• A fully nonlinear Boussinesq model for surface waves. Part 1. Highly nonlinear unsteady waves
• Nonlinear shallow fluid flow over an isolated ridge

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