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

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Abstract

We propose the multicolored Poisson solver suited to vector computing. This solver is designed for solving the Poisson’s equation which has a large sparse 19-points FDM (Finite Difference Method) coefficient matrix in the 3-D generalized coordinate system. Moreover this multicolored technique can be extended to the solvers for sparse 13 and 25-points FDM coefficient matrices which arise from the Navier-Stokes equations, in the 2-D and 3-D generalized coordinate system. We discuss the applicability of the present solver to the unsteady flow problem around an obstacle at high Reynolds number.

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References

  1. Harlow, F.H. and Welch, J.E., “Numerical Calculation of Time-Dependent Viscous Incompressible Flow of Fluid with Free Surface”, Phys. Fluids, Vol.8, 1965

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Pieter Wesseling

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© 1990 Springer Fachmedien Wiesbaden

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Fujino, S., Tamura, T., Kuwahara, K. (1990). Multicolored Poisson Solver for Fluid Flow Problems. 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_16

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  • DOI: https://doi.org/10.1007/978-3-663-13975-1_16

  • 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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