A new shallow water model with linear dependence on depth

DOI10.1016/j.mcm.2007.11.002zbMath1145.76334OpenAlexW2089576065MaRDI QIDQ949578

José M. Rodríguez, Raquel Taboada-Vázquez

Publication date: 21 October 2008

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2007.11.002

zbMATH Keywords

Euler equationsasymptotic analysisfree boundaryshallow waters

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

Related Items (6)

Bidimensional shallow water model with polynomial dependence on depth through vorticity ⋮ A new thin layer model for viscous flow between two nearby non‐static surfaces ⋮ Asymptotic analysis of a thin fluid layer flow between two moving surfaces ⋮ Derivation of a new asymptotic viscous shallow water model with dependence on depth ⋮ A new shallow water model with polynomial dependence on depth ⋮ Time-averaged shallow water model: asymptotic derivation and numerical validation

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• Asymptotic modeling in Newtonian fluid mechanics
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• SIMULATION OF A SPILLED OIL SLICK WITH A SHALLOW WATER MODEL WITH FREE BOUNDARY
• NUMERICAL TREATMENT OF WET/DRY FRONTS IN SHALLOW FLOWS WITH A MODIFIED ROE SCHEME
• Derivation of viscous Saint-Venant system for laminar shallow water; numerical validation

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