Accession Number : ADA275744

Title :   Projection Techniques for Iterative Solution of Ax = b with Successive Right-Hand Sides.

Descriptive Note : Contractor rept.,

Corporate Author : INSTITUTE FOR COMPUTER APPLICATIONS IN SCIENCE AND ENGINEERING HAMPTON VA

Personal Author(s) : Fischer, Paul F.

Report Date : DEC 1993

Pagination or Media Count : 14

Abstract : We present two projection techniques for computing approximate solutions to linear systems of the form Axn = bn, for a sequence n = 1,2,..., e.g., such as arises from time discretization of a partial differential equation. The inexpensive approximate solutions can be used as initial guesses for iterative solution of the system, resulting in significantly reduced computational expense. Examples of two- and three-dimensional incompressible Navier-Stokes calculations are presented in which x represents the pressure, and A is a discrete Poisson operator. In flows containing significant dynamic activity, these projection techniques lead to as much as a two-fold reduction in solution time. Projection techniques, Iterative solvers, Krylov methods, Linear systems, Computational fluid dynamics

Descriptors :   *COMPUTATIONAL FLUID DYNAMICS, *PROJECTIVE TECHNIQUES, *ITERATIONS, DYNAMICS, FLUIDS, LINEAR SYSTEMS, PARTIAL DIFFERENTIAL EQUATIONS, PRESSURE, REDUCTION, SEQUENCES, THREE DIMENSIONAL, TIME, TIME DEPENDENCE, COMPUTATIONS, SOLUTIONS(GENERAL), NAVIER STOKES EQUATIONS, TWO DIMENSIONAL.

Subject Categories : Numerical Mathematics
      Fluid Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE