Resolution by Galerkin method with a special basis of a geophysical flow in open sea: A Calvi's bay simulation

DOI10.1016/S0307-904X(99)00027-XzbMath0969.76067OpenAlexW1974172773MaRDI QIDQ1971484

Bernard Di Martino, Pierre Orenga, F. Bosseur

Publication date: 1 October 2001

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0307-904x(99)00027-x

zbMATH Keywords

trigonometric functionsshallow water modelthree-dimensional modelgeophysical flowCalvi's bay flowGalerkin spectral approach

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Spectral methods applied to problems in fluid mechanics (76M22) Computational methods for problems pertaining to geophysics (86-08)

Related Items (6)

ANALYSIS OF SOME SHALLOW WATER PROBLEMS WITH RIGID-LID HYPOTHESIS ⋮ The Generalized Nonlinear Galerkin Method Applied to Hydrodynamics of the Open Sea ⋮ ON A BI-LAYER SHALLOW WATER MODEL WITH RIGID-LID HYPOTHESIS ⋮ Simulation of the spread of a viscous fluid using a bidimensional shallow water model ⋮ Simulation of an oil slick movement using a shallow water model ⋮ A Numerical Approach to Marine Circulation Using Free Surface or Rigid-lid Modeling: Application in the Bay of Calvi

Cites Work

• Three dimensional numerical sea model using the Galerkin method with a polynomial basis set
• Existence theorem for the solution of a shallow water problem
• On a non-homogeneous shallow-water problem
• Numerical problems in simulating tidal flows with a frictional‐velocity‐dependent eddy viscosity and the influence of stratification
• Nonlinear Galerkin Methods
• ANALYSIS OF SOME SHALLOW WATER PROBLEMS WITH RIGID-LID HYPOTHESIS
• Solution of the 3D linear hydrodynamic equations using an enhanced eigenfunction approach
• Linear theory of the circulation of a stratified ocean
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