
Accession Number : ADA275744
Title : Projection Techniques for Iterative Solution of Ax = b with Successive RightHand 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 threedimensional incompressible NavierStokes 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 twofold 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