论文信息 - Fourier series on spheres

Fourier series on spheres

Abstract A spectral representation consisting of a two‐dimensional Fourier series for use on a sphere is described. The method is applied to the advection of a passive scalar field over the poles and is compared to the pseudo‐spectral and grid‐point representations. The results show that the double Fourier series method compares favourably with both the pseudo‐spectral and grid‐point schemes.

G. Boer | George J. Boer | Leonard Steinberg | L. Steinberg

[1] A. Arakawa. Computational design for long-term numerical integration of the equations of fluid motion: two-dimen , 1997 .

[2] Steven A. Orszag,et al. Numerical simulation of incompressible flows within simple boundaries: accuracy , 1971, Journal of Fluid Mechanics.

[3] S. Orszag. Numerical Simulation of Incompressible Flows Within Simple Boundaries. I. Galerkin (Spectral) Representations , 1971 .

[4] Philip E. Merilees,et al. The pseudospectral approximation applied to the shallow water equations on a sphere , 1973 .

[5] Steven A. Orszag,et al. Fourier Series on Spheres , 1974 .