An Investigation of Numerical Methods for Obtaining Green's Functions.
Abstract
The study was devoted to obtaining an optimal numerical method for computing discrete Green's functions for the Laplacian operator. Two competitive numerical methods were employed: successive over-relaxation and a modified Monte Carlo methodd, the Exodus method. Green's functions were computed for square and cubic grids. Comparisons were made on the basis of accuracy and required computation time. Accuracy was determined by comparing numerical Green's functions with analytical solutions. Both methods, iterative and statistical, gave comparable accuracy results. Required computation times for the successive overrelaxation method were consistently less than the Exodus method. For all regions considered, both planar and volumetric, the successive overrelaxation method was found to be the optimal numerical method for determining Green's functions accurately and rapidly. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1972
- Accession Number
- AD0743619
Entities
People
- Jack L. Tills
Organizations
- Air Force Institute of Technology