TY - JOUR

T1 - Review of preconditioning methods for fluid dynamics

AU - Turkel, E.

N1 - Funding Information:
Correspondence to: E. Turkel, School of Mathematical University, Ramat Aviv, Tel Aviv 69978, Israel. * This research was partially supported by the National Aeronautics and Space Administration in residence at ICASE, NASA Langley Research Center, Hampton, VA, USA.

PY - 1993/5

Y1 - 1993/5

N2 - We consider the use of preconditioning methods to accelerate the convergence to a steady state for both the incompressible and compressible fluid dynamic equations. Most of the analysis relies on the inviscid equations though some applications for viscous flow are considered. The preconditioning can consist of either a matrix or a differential operator acting on the time derivatives. Hence, in the steady state the original steady solution is obtained. For finite difference methods the preconditioning can change and improve the steady-state solutions. Several preconditioners previously discussed are reviewed and some new approaches are presented.

AB - We consider the use of preconditioning methods to accelerate the convergence to a steady state for both the incompressible and compressible fluid dynamic equations. Most of the analysis relies on the inviscid equations though some applications for viscous flow are considered. The preconditioning can consist of either a matrix or a differential operator acting on the time derivatives. Hence, in the steady state the original steady solution is obtained. For finite difference methods the preconditioning can change and improve the steady-state solutions. Several preconditioners previously discussed are reviewed and some new approaches are presented.

UR - http://www.scopus.com/inward/record.url?scp=44949266287&partnerID=8YFLogxK

U2 - 10.1016/0168-9274(93)90122-8

DO - 10.1016/0168-9274(93)90122-8

M3 - מאמר

AN - SCOPUS:44949266287

VL - 12

SP - 257

EP - 284

JO - Applied Numerical Mathematics

JF - Applied Numerical Mathematics

SN - 0168-9274

IS - 1-3

ER -