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Part of the book series: Notes on Numerical Fluid Mechanics ((NONUFM,volume 3))

Abstract

Steady-state flow problems are solved as a rule by some iterative technique. Relaxation methods are the most common ones. The multi-grid (MG) technique can be considered as a variant of a usual relaxation strategy even though it differs conceptually from the latter. The multi-grid method (MGM) has been first applied to transonic problems by Brandt and the present author. A refined and efficient version of this method is described in details by Fuchs M. A short review of the MGM is given here. Other applications and developments of the MGM are described by Brandt [2] and the references in that paper.

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References

  1. Fuchs, L.J.: Finite difference methods for plane steady inviscid transonic flows. TRITA-GAD-2, 1977

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  2. Brandt, A.: Multi-level adaptive computations in fluid dynamics. AIAA paper No 79 - 1455, 1979

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  3. Murman, E.M. and Cole J.P.: Calculation of plane steady transonic flows. AIAA Journal No, pp. 114 - 121, 1971

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  9. Brandt, A.: Multi-level adaptive solution to boundary value problems. Math. of Comp. vol. 31, pp. 333 - 380, 1977

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Arthur Rizzi Henri Viviand

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© 1981 Springer Fachmedien Wiesbaden

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Fuchs, L.J. (1981). Transonic Flow Computation by a Multi-Grid Method. In: Rizzi, A., Viviand, H. (eds) Numerical Methods for the Computation of Inviscid Transonic Flows with Shock Waves. Notes on Numerical Fluid Mechanics, vol 3. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-663-14008-5_6

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  • DOI: https://doi.org/10.1007/978-3-663-14008-5_6

  • Publisher Name: Vieweg+Teubner Verlag, Wiesbaden

  • Print ISBN: 978-3-528-08077-8

  • Online ISBN: 978-3-663-14008-5

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