Accession Number:

ADA099385

Title:

Double Fourier Series Solution of Poisson's Equation on a Sphere.

Descriptive Note:

Environmental research papers,

Corporate Author:

AIR FORCE GEOPHYSICS LAB HANSCOM AFB MA

Personal Author(s):

Report Date:

1980-10-29

Pagination or Media Count:

19.0

Abstract:

Advances in numerical simulation and prediction in disciplines as diverse as geophysical fluid dynamics, heat transfer, and nuclear and plasma physics have generated, in recent years, considerable interest in the method of solution for Poisson-type equations. A method for the solution of Poissons equation on the surface of a sphere is given. The method makes use of truncated double Fourier series expansions on the sphere and invokes the Galerkin approximation. It has an operation count of approximately 12J sq1 log sub 2 J for a latitude-longitude grid containing 2J x J-1 2 data points. Numerical results are presented to demonstrate the methods accuracy and efficiency. Author

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE