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

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 Poisson's 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 12(J sq)(1 + log sub 2 J) for a latitude-longitude grid containing 2J x (J-1) + 2 data points. Numerical results are presented to demonstrate the method's accuracy and efficiency. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Oct 29, 1980
Accession Number
ADA099385

Entities

People

  • Samuel Y. K. Yee

Organizations

  • Air Force Research Laboratory

Tags

DTIC Thesaurus Topics

  • Accuracy
  • Air Force
  • Boundaries
  • Boundary Value Problems
  • Coefficients
  • Computations
  • Differential Equations
  • Equations
  • Fourier Analysis
  • Fourier Series
  • Grids
  • Latitude
  • Longitude
  • Partial Differential Equations
  • Poisson Equation
  • Technical Information Centers

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Geodesy
  • Regression Analysis.