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:

1993-12-01

Pagination or Media Count:

14.0

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