Spectral Methods: Analysis and Applications to Flow Problems.
Abstract
In this paper, we have shown that we can characterize methods for the solution of incompressible flow problems as belonging to either parabolic or elliptic type with regard to the determination of pressure field. The elliptic schemes typically have smaller errors in the divergence field, with the errors decaying exponentially away from the boundaries of the computational domain. On the other hand, the parabolic schemes have smooth solutions, without numerical boundary layers, but care should be exercised with respect to the boundary conditions in order that initial divergence errors be eliminated. This analysis explains why elliptic schemes, like that introduced by Harlow Welch (1965) have been found to be more accurate than parabolic schemes.
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 22, 1986
- Accession Number
- ADA186265
Entities
People
- David Gottlieb
Organizations
- Universities Space Research Association