Comparison of the finite difference and Galerkin methods as applied to the solution of the hydrodynamic equations

DOI10.1016/0307-904X(83)90076-8zbMath0519.76017MaRDI QIDQ1054552

J. Blot

Publication date: 1983

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

zbMATH Keywords

nonlinearthree-dimensionalhomogeneous seasigma coordinateswind induced flow

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for boundary value problems involving PDEs (65N06) Basic methods in fluid mechanics (76M99) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (5)

Modelling the suspended matter dynamics in a marine environment using a three dimensional sigma coordinate model: application to the eastern Irish sea ⋮ On the use of the Galerkin method for 3D numerical modelling of the general circulation: the South Atlantic eperiment ⋮ A numerical study of wind-induced motions in shallow coastal seas: Model and basic experiments ⋮ Accurate finite difference approximations for the Neumann condition on a curved boundary ⋮ Unnamed Item

Cites Work

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• On formulating a three-dimensional hydrodynamic sea model with an arbitrary variation of vertical eddy viscosity
• Three dimensional numerical sea model using the Galerkin method with a polynomial basis set
• Application of the Galerkin method to the formulation of a three- dimensional nonlinear hydrodynamic numerical sea model
• On computing the three dimensional flow in a stratified sea using the Galerkin method
• Formulation of a linear three-dimensional hydrodynamic sea model using a Galerkin-eigenfunction method
• The stability of the Du Fort-Frankel method for the diffusion equation with boundary conditions involving space derivatives
• Numerical simulation of incompressible flows within simple boundaries: accuracy

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