Analysis of a RK/implicit smoother for multigrid

R. C. Swanson, E. Turkel, S. Yaniv

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

The steady-state compressible Navier - Stokes equations are solved with a finite-volume, second-order accurate scheme. The equations are solved with a multigrid algorithm that uses a 3-stage Runge - Kutta scheme with an implicit preconditioner as a smoother. We analyze this smoother in which the implicit system is approximately inverted by a few symmetric Gauss - Seidel relaxation sweeps. The analysis for the linear system determines the Fourier spectrum of the multigrid smoother. Improved performance of the algorithm based on the analysis is demonstrated by computing laminar flow in a rocket motor and turbulent flow over a wing.

Original languageEnglish
Title of host publicationComputational Fluid Dynamics 2010 - Proceedings of the 6th International Conference on Computational Fluid Dynamics, ICCFD 2010
PublisherKluwer Academic Publishers
Pages409-417
Number of pages9
ISBN (Print)9783642178832
DOIs
StatePublished - 2011
Event6th International Conference on Computational Fluid Dynamics, ICCFD 2010 - St. Petersburg, Russian Federation
Duration: 12 Jul 201016 Jul 2010

Publication series

NameComputational Fluid Dynamics 2010 - Proceedings of the 6th International Conference on Computational Fluid Dynamics, ICCFD 2010

Conference

Conference6th International Conference on Computational Fluid Dynamics, ICCFD 2010
Country/TerritoryRussian Federation
CitySt. Petersburg
Period12/07/1016/07/10

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