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 50 条

[1] Multigrid Line Smoothers for Higher Order Upwind Discretizations of Convection-Dominated Problems
Oosterlee, C. W.
Gaspar, F. J.
Washio, T.
Wienands, R.
Journal of Computational Physics, 139 (02):
[2] ASSESSMENT OF HIGHER-ORDER UPWIND SCHEMES INCORPORATING FCT FOR CONVECTION-DOMINATED PROBLEMS
LI, YG
RUDMAN, M
NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS, 1995, 27 (01) : 1 - 21
[3] On an adaptive multigrid solver for convection-dominated problems
Dahmen, W
Müller, S
Schlinkmann, T
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2001, 23 (03): : 781 - 804
[4] Upwind reproducing kernel collocation method for convection-dominated problems
Wang, Jiarui
Hillman, Michael
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2024, 420
[5] UPWIND BASIS FINITE-ELEMENTS FOR CONVECTION-DOMINATED PROBLEMS
STEFFLER, PM
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 1989, 9 (04) : 385 - 403
[6] An assessment of discretizations for convection-dominated convection-diffusion equations
Augustin, Matthias
Caiazzo, Alfonso
Fiebach, Andre
Fuhrmann, Juergen
John, Volker
Linke, Alexander
Umla, Rudolf
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2011, 200 (47-48) : 3395 - 3409
[7] A CONSISTENT APPROXIMATE UPWIND PETROV-GALERKIN METHOD FOR CONVECTION-DOMINATED PROBLEMS
GALEAO, AC
DOCARMO, EGD
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1988, 68 (01) : 83 - 95
[8] A Hybrid Time Integration Scheme for the Discontinuous Galerkin Discretizations of Convection-Dominated Problems
Li, Liang
Wu, Songping
ENERGIES, 2020, 13 (08)
[9] Multigrid Preconditioning for Discontinuous Galerkin Discretizations of an Elliptic Optimal Control Problem with a Convection-Dominated State Equation
Liu, Sijing
Simoncini, Valeria
JOURNAL OF SCIENTIFIC COMPUTING, 2024, 101 (03)
[10] A high resolution NV/TVD Hermite polynomial upwind scheme for convection-dominated problems
Gao, Wei
Li, Hong
Liu, Yang
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2013, 36 (09) : 1107 - 1122

← 1 2 3 4 5 →