A Hermite-based shallow water solver for a thin ``ocean over a rotating sphere

DOI10.1016/j.jcp.2014.03.015zbMath1349.86028OpenAlexW1974952598MaRDI QIDQ349096

Nathan Paldor, Ofer Shamir

Publication date: 5 December 2016

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2014.03.015

zbMATH Keywords

shallow water equationsglobal scale modelsspectral models

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Spectral methods applied to problems in fluid mechanics (76M22) General theory of rotating fluids (76U05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Computational methods for problems pertaining to geophysics (86-08)

Related Items (2)

A Gegenbauer-based shallow water solver for a thick ``ocean over a rotating sphere ⋮ Interpolation on the cubed sphere with spherical harmonics

Uses Software

• chammp

Cites Work

• Unnamed Item
• Recurrence relations and fast algorithms
• A standard test set for numerical approximations to the shallow water equations in spherical geometry
• A fast spherical filter with uniform resolution
• A numerical strategy for efficient modeling of the equatorial wave guide
• An Algorithm for the Machine Calculation of Complex Fourier Series
• Planetary (Rossby) waves and inertia–gravity (Poincaré) waves in a barotropic ocean over a sphere
• The Eigenfunctions of Laplace's Tidal Equations over a Sphere

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