Preconditioning for the Steady-State Navier-Stokes Equations with Low Viscosity

Loading...
Thumbnail Image

Files

CS-TR-3712.ps (224.76 KB)
No. of downloads: 410
CS-TR-3712.pdf (233.29 KB)
No. of downloads: 1304

Publication or External Link

Date

1998-10-15

Advisor

Citation

DRUM DOI

Abstract

We introduce a preconditioner for the linearized Navier-Stokes equations that is effective when either the discretization mesh size or the viscosity approaches zero.

For constant coefficient problems with periodic boundary conditions, we show that the preconditioning yields a system with a single eigenvalue equal to one, so that performance is independent of both viscosity and mesh size. For other boundary conditions, we demonstrate empirically that convergence depends only mildly on these parameters and we give a partial analysis of this phenomenon.

We also show that some expensive subsidiary computations required by the new method can be replaced by inexpensive approximate versions of these tasks based on iteration, with virtually no degradation of performance. (Also cross-referenced as UMIACS-TR-96-82)

Notes

Rights