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A Three Dimensional Multigrid Multiblock Multistage Time Stepping Scheme for the Navier-Stokes Equations

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

Part of the book series: Notes on Numerical Fluid Mechanics (NNFM) ((NNFM,volume 35))

Summary

A general multiblock method for the solution of the three-dimensional, unsteady, compressible, thin-layer Navier-Stokes equations has been developed. The convective and pressure terms are spatially discretized using Roe’s flux differencing technique while the viscous terms are centrally differenced. An explicit Runge-Kutta method is used to advance the solution in time. Local time stepping, adaptive implicit residual smoothing, and the Full Approximation Storage (FAS) multigrid scheme are added to the explicit time stepping scheme to accelerate convergence to steady state. Results for three-dimensional test cases are presented and discussed.

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References

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© 1992 Springer Fachmedien Wiesbaden

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Elmiligui, A., Cannizzaro, F., Melson, N.D., von Lavante, E. (1992). A Three Dimensional Multigrid Multiblock Multistage Time Stepping Scheme for the Navier-Stokes Equations. In: Vos, J.B., Rizzi, A., Ryhming, I.L. (eds) Proceedings of the Ninth GAMM-Conference on Numerical Methods in Fluid Mechanics. Notes on Numerical Fluid Mechanics (NNFM), vol 35. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-663-13974-4_16

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  • DOI: https://doi.org/10.1007/978-3-663-13974-4_16

  • Publisher Name: Vieweg+Teubner Verlag, Wiesbaden

  • Print ISBN: 978-3-528-07635-1

  • Online ISBN: 978-3-663-13974-4

  • eBook Packages: Springer Book Archive

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