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Time Accurate Multigrid Solutions of the Navier-Stokes Equations

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Multigrid Methods III

Abstract

The time dependent two-dimensional Navier-Stokes equations for compressible laminar flows are solved with an explicit Runge-Kutta time stepping scheme. The influence of the direct FAS multigrid method on the time accuracy of the numerical solution is investigated for several unsteady viscous flow problems. Even in highly unsteady flows, like the self induced unsteady flow around a circular cylinder, up to 50% of computer time can be saved without significant loss of accuracy.

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© 1991 Springer Basel AG

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Meinke, M., Hänel, D. (1991). Time Accurate Multigrid Solutions of the Navier-Stokes Equations. In: Hackbusch, W., Trottenberg, U. (eds) Multigrid Methods III. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale d’Analyse Numérique, vol 98. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5712-3_21

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  • DOI: https://doi.org/10.1007/978-3-0348-5712-3_21

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-5714-7

  • Online ISBN: 978-3-0348-5712-3

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