The Numerical Solution of the Helmholtz Equation on a Sphere.
Abstract
An iterative method is given for the numerical solution of the Helmholtz equation (del squared) u - hu = f on the surface of a sphere; h and f are assumed to be functions of position. An initial estimate is required; if none is available the routine sets u identically equal 0 initially. The iteration is in two stages. First the non-polar values are corrected by a fast direct solver, with the polar values held fixed; then the polar values are corrected. The routine is used in the Fleet Numerical Weather Central global numerical variational analysis program to solve for the surface pressure.
Document Details
- Document Type
- Technical Report
- Publication Date
- Feb 01, 1976
- Accession Number
- ADA027399
Entities
People
- Frank D. Faulkner
Organizations
- Naval Postgraduate School