Multigrid line smoothers for higher order upwind discretizations of convection-dominated problems

被引：44

作者：

Oosterlee, CW ^{[1
]}

Gaspar, FJ

Washio, T

Wienands, R

机构：

[1] Inst Algorithms & Sci Comp, GMD, D-53754 St Augustin, Germany

[2] Univ Zaragoza, CPS, Zaragoza 50008, Spain

[3] NEC Europe Ltd, D-53757 St Augustin, Germany

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 1998年 / 139卷 / 02期

关键词：

multigrid; line smoothers; higher order discretizations; convection domination;

D O I：

10.1006/jcph.1997.5854

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this paper we present new multigrid line smoothers for the solution of higher order discretizations of convection-dominated problems directly. The behavior of the smoothers is analyzed theoretically with Fourier smoothing and two-grid analysis. A parallel tri-line variant is presented and evaluated. The smoothers are applied to scalar convection-diffusion problems, discretized with limiters and systems of incompressible Navier-Stokes and Euler equations. (C) 1998 Academic Press.

引用

页码：274 / 307

页数：34

共 25 条

[1] A TAYLOR-SERIES APPROACH TO NUMERICAL ACCURACY AND A 3RD-ORDER SCHEME FOR STRONG CONVECTIVE FLOWS
BRADLEY, D
MISSAGHI, M
CHIN, SB
[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1988, 69 (02) : 133 - 151
[2] ACCELERATED MULTIGRID CONVERGENCE AND HIGH-REYNOLDS RECIRCULATING-FLOWS
BRANDT, A
YAVNEH, I
[J]. SIAM JOURNAL ON SCIENTIFIC COMPUTING, 1993, 14 (03) : 607 - 626
[3] ON MULTIGRID SOLUTION OF HIGH-REYNOLDS INCOMPRESSIBLE ENTERING FLOWS
BRANDT, A
YAVNEH, I
[J]. JOURNAL OF COMPUTATIONAL PHYSICS, 1992, 101 (01) : 151 - 164
[4] BRANDT A, 1977, MATH COMPUT, V31, P333, DOI 10.1090/S0025-5718-1977-0431719-X
[5] CONVERGENCE ANALYSIS OF THE DEFECT-CORRECTION ITERATION FOR HYPERBOLIC PROBLEMS
DESIDERI, JA
HEMKER, PW
[J]. SIAM JOURNAL ON SCIENTIFIC COMPUTING, 1995, 16 (01) : 88 - 118
[6] A MULTIGRID METHOD FOR STEADY INCOMPRESSIBLE NAVIER-STOKES EQUATIONS BASED ON FLUX DIFFERENCE SPLITTING
DICK, E
LINDEN, J
[J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 1992, 14 (11) : 1311 - 1323
[7] MULTI-STAGING OF JACOBI RELAXATION TO IMPROVE SMOOTHING PROPERTIES OF MULTIGRID METHODS FOR STEADY EULER EQUATIONS
DICK, E
RIEMSLAGH, K
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1994, 50 (1-3) : 241 - 254
[8] CURVATURE-COMPENSATED CONVECTIVE-TRANSPORT - SMART, A NEW BOUNDEDNESS-PRESERVING TRANSPORT ALGORITHM
GASKELL, PH
LAU, AKC
[J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 1988, 8 (06) : 617 - 641
[9] HIGH-RE SOLUTIONS FOR INCOMPRESSIBLE-FLOW USING THE NAVIER STOKES EQUATIONS AND A MULTIGRID METHOD
GHIA, U
GHIA, KN
SHIN, CT
[J]. JOURNAL OF COMPUTATIONAL PHYSICS, 1982, 48 (03) : 387 - 411
[10] Hackbusch W., 1985, MULTIGRID METHODS AP, DOI 10.1007/978-3-662-02427-0

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