Calculation of the rotational normal modes of oceans and lakes with general orthogonal coordinates

DOI10.1016/0021-9991(81)90057-7zbMath0482.76026OpenAlexW2076722706MaRDI QIDQ1162871

John R. Bennett, David J. Schwab

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1016/0021-9991(81)90057-7

zbMATH Keywords

conformal mapbarotropic vorticity equationgeneral orthogonal coordinatescircular basin with parabolic depth lawcircular, flat basin with linear variation of the Coriolis parameterelliptic parabolicenclosed seasnon-divergent assumptionoceans and lakesrotational modes of oscillationrotational normal modes

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite difference methods for boundary value problems involving PDEs (65N06) Basic methods in fluid mechanics (76M99)

Related Items (2)

Accuracy of a finite-difference method for computing lake currents ⋮ Elliptica topographic waves

Cites Work

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• Computational design for long-term numerical integration of the equations of fluid motion: two-dimensional incompressible flow. Part I
• Integration of the planetary vorticity equation on a parabolic circular grid
• An Algorithm for Generalized Matrix Eigenvalue Problems

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