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Solution of the 3-D, Incompressible Navier-Stokes Equations for the Simulation of Vortex Breakdown

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Book cover 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

A method of solution is presented for the threedimensional, unsteady Navier - Stokes equations of an incompressible fluid. The method is based on the principle of artificial compressibility, extended to time-dependent solutions by the concept of dual time stepping. Higher order upwinding (Quick interpolation, and Roe-type splitting) is used for the spatial discretization. The properties of the method were tested by means of different validated flow problems. Present computations concern with the unsteady, and three-dimensional problem of the breakdown of an isolated vortex. The temporal evolution and the internal structure of the breakdown bubble is investigated and compared with experimental observations.

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Pieter Wesseling

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© 1990 Springer Fachmedien Wiesbaden

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Breuer, M., Hänel, D. (1990). Solution of the 3-D, Incompressible Navier-Stokes Equations for the Simulation of Vortex Breakdown. 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_5

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  • DOI: https://doi.org/10.1007/978-3-663-13975-1_5

  • 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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