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Analysis and Application of A Line Solver for the Recirculating Flows Using Multigrid Methods

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Book cover Numerical Treatment of the Navier-Stokes Equations

Part of the book series: Notes on Numerical Fluid Mechanics (NNFM) ((NNFM,volume 30 5))

Abstract

This paper describes an efficient line solver for the coupled equations. The calculation procedure, called SCGS/LS(Symmetrical Coupled Gauss-Seidel/Line Solver), is based on the SCGS scheme. The technique is applied to the driven cavity problem for the incompressible Navier-Stokes equations. A Fourier analysis of this technique is carried out. The scheme is simple and easy to programme. The rates of convergence and the computational times are reported for the test case.

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© 1990 Springer Fachmedien Wiesbaden

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Shah, T.M., Mayers, D.F., Rollett, J.S. (1990). Analysis and Application of A Line Solver for the Recirculating Flows Using Multigrid Methods. In: Hackbusch, W., Rannacher, R. (eds) Numerical Treatment of the Navier-Stokes Equations. Notes on Numerical Fluid Mechanics (NNFM), vol 30 5. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-663-14004-7_13

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  • DOI: https://doi.org/10.1007/978-3-663-14004-7_13

  • Publisher Name: Vieweg+Teubner Verlag, Wiesbaden

  • Print ISBN: 978-3-528-07630-6

  • Online ISBN: 978-3-663-14004-7

  • eBook Packages: Springer Book Archive

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