A semi-Lagrangian double Fourier method for the shallow water equations on the sphere.

DOI10.1016/S0021-9991(03)00207-9zbMath1097.86003OpenAlexW1979808042MaRDI QIDQ1401141

Anita T. Layton, William F. Spotz

Publication date: 17 August 2003

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

Full work available at URL: https://doi.org/10.1016/s0021-9991(03)00207-9

zbMATH Keywords

predictioncoordinatesShallow water equationsSpectral methodsDouble Fourier seriesNumerical weatherSemi-implicit schemeSemi-Lagrangian schemeSpherical

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Meteorology and atmospheric physics (86A10) 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 (6)

Approximation properties of the double Fourier sphere method ⋮ Vorticity-divergence mass-conserving semi-Lagrangian shallow-water model using the reduced grid on the sphere ⋮ Further study on the high-order double-Fourier-series spectral filtering on a sphere. ⋮ Mesh-free semi-Lagrangian methods for transport on a sphere using radial basis functions ⋮ Computing with Functions in Spherical and Polar Geometries I. The Sphere ⋮ A new series representation derived for periodic functions that can be represented by the Fourier series

Uses Software

• chammp

Cites Work

• Vorticity-divergence semi-Lagrangian shallow-water model of the sphere based on compact finite differences
• A standard test set for numerical approximations to the shallow water equations in spherical geometry
• Fast shallow-water equation solvers in latitude-longitude coordinates
• Spectral transform solutions to the shallow water test set
• Double Fourier series on a sphere: Applications to elliptic and vorticity equations
• Application of double Fourier series to the shallow water equations on a sphere
• A performance comparison of associated Legendre projections

This page was built for publication: A semi-Lagrangian double Fourier method for the shallow water equations on the sphere.