A multigrid method for solving the Navier–Stokes/Boussinesq equations

descriptionPublicationkeyboard_double_arrow_right Article 05 Jan 2007 English Publisher:WileyJournal:Communications in Numerical Methods in Engineering, volume 24, pages 671-681 (issn: 1069-8299, eissn: 1099-0887,

Copyright policy )

Authors: Ben Cheikh, Nader; Ben Beya, Brahim; Lili, Taieb;

doi: 10.1002/cnm.980

A multigrid method for solving the Navier–Stokes/Boussinesq equations

- Summary
- Subjects
- Metrics

Abstract

AbstractThe present work investigates the efficiency and the accuracy of a multigrid (MG) technique for solving the Navier–Stokes/Boussinesq equations. In order to improve convergence, an accelerated full multigrid (AFMG) method with the iterative red and black successive over‐relaxation smoother (RBSOR) is utilized. The AFMG method consists in introducing an accelerated parameter Γ>0 in the standard full multigrid procedure (FMG). A well‐known benchmark problem is used to demonstrate the effectiveness and the accuracy of the method. Solutions are compared with those of the literature and show excellent agreement. Results for Prandtl numbers Pr=12.5, 6.8, 0.71 and 0.025 are also presented in this paper. It is observed that the mean heat transfer rate is minimum for Pr=0.71 and maximum for Pr=0.025. Copyright © 2007 John Wiley & Sons, Ltd.

Keywords

projection method, Finite difference methods for initial value and initial-boundary value problems involving PDEs, Free convection, natural convection, Finite volume methods applied to problems in fluid mechanics, multigrid, finite-volume

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	19
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Top 10%
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average