TY - GEN

T1 - Analysis of a RK/implicit smoother for multigrid

AU - Swanson, R. C.

AU - Turkel, E.

AU - Yaniv, S.

PY - 2011

Y1 - 2011

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84890308796&partnerID=8YFLogxK

U2 - 10.1007/978-3-642-17884-9_51

DO - 10.1007/978-3-642-17884-9_51

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AN - SCOPUS:84890308796

SN - 9783642178832

T3 - Computational Fluid Dynamics 2010 - Proceedings of the 6th International Conference on Computational Fluid Dynamics, ICCFD 2010

SP - 409

EP - 417

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

PB - Kluwer Academic Publishers

T2 - 6th International Conference on Computational Fluid Dynamics, ICCFD 2010

Y2 - 12 July 2010 through 16 July 2010

ER -