Accession Number : ADA186265

Title :   Spectral Methods: Analysis and Applications to Flow Problems.

Descriptive Note : Final scientific rept.,

Corporate Author : UNIVERSITIES SPACE RESEARCH ASSOCIATION COLUMBIA MD

Personal Author(s) : Gottlieb, David

PDF Url : ADA186265

Report Date : 22 Dec 1986

Pagination or Media Count : 8

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.

Descriptors :   *BOUNDARY LAYER, *INCOMPRESSIBLE FLOW, BOUNDARIES, COMPUTATIONS, DETERMINATION, ELLIPSES, ERRORS, FLOW, NUMERICAL ANALYSIS, PARABOLAS, PRESSURE, SOLUTIONS(GENERAL), SPECTRUM ANALYSIS, PARTIAL DIFFERENTIAL EQUATIONS, COMPRESSIBLE FLOW

Subject Categories : Fluid Mechanics
      Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE