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Multigrid Method for Solving Euler and Navier-Stokes Equations in two and three Dimensions

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Proceedings of the Eighth GAMM-Conference on Numerical Methods in Fluid Mechanics

Part of the book series: Notes on Numerical Fluid Mechanics (NNFM) ((NNFM,volume 29))

Summary

In this paper we describe the multigrid method we use for solving Euler and Navier-Stokes equations and which is based upon the method proposed by Ni [1] [2]. Because the multigrid acceleration technique used for the Navier-Stokes equations is straightforwardly derived from that used for the Euler equations, the main part of the presentation is dedicated to the Euler multigrid solver. Comparisons between calculations performed on a 3D complex inviscid flow allow us to optimize the convergence rate of the multigrid process by modifying the transfer operator. We indicate how the multigrid method can be easily extended to the solution of the Navier-Stokes equations.

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References

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Pieter Wesseling

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© 1990 Springer Fachmedien Wiesbaden

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Couaillier, V. (1990). Multigrid Method for Solving Euler and Navier-Stokes Equations in two and three Dimensions. In: Wesseling, P. (eds) Proceedings of the Eighth GAMM-Conference on Numerical Methods in Fluid Mechanics. Notes on Numerical Fluid Mechanics (NNFM), vol 29. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-663-13975-1_8

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  • DOI: https://doi.org/10.1007/978-3-663-13975-1_8

  • Publisher Name: Vieweg+Teubner Verlag, Wiesbaden

  • Print ISBN: 978-3-528-07629-0

  • Online ISBN: 978-3-663-13975-1

  • eBook Packages: Springer Book Archive

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