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On solution of Navier-Stokes auxiliary grid equations for incompressible fluids

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Computational Science and High Performance Computing II

Part of the book series: Notes on Numerical Fluid Mechanics and Multidisciplinary Design ((NNFM,volume 91))

Abstract

Effective iterative algorithms are considered for numerical implementation of the solution of auxiliary differential equations. These equations appear when using splitting schemes, for which convergence theorems are proved and convergence rates are estimated. An effective algorithm is suggested, allowing the grid continuity equation to be satisfied identically.

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References

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Author information

Authors and Affiliations

  1. al-Farabi Kazakh National University, Masanchi str. 39/47, 480012, Almaty, Kazakhstan

    N.T. Danaev

Authors
  1. N.T. Danaev
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Editor information

Editors and Affiliations

  1. Aerodynamic Institute of the RWTH Aachen, Wuellnerstr. zw. 5 u. 7, 52062, Aachen, Germany

    Egon Krause

  2. Institute of Computational Technologies of SB RAS, Ac. Lavrentyev Ave. 6, 630090, Novosibirsk, Russia

    Yurii Shokin

  3. High Performance Computing Center Stuttgart, University of Stuttgart, Nobelstrasse 19, 70569, Stuttgart, Germany

    Michael Resch

  4. High Performance Computing Center Stuttgart, University of Stuttgart, Nobelstrasse 19, 70569, Stuttgart, Germany

    Nina Shokina Dr.

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© 2006 Springer

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Danaev, N. (2006). On solution of Navier-Stokes auxiliary grid equations for incompressible fluids. In: Krause, E., Shokin, Y., Resch, M., Shokina, N. (eds) Computational Science and High Performance Computing II. Notes on Numerical Fluid Mechanics and Multidisciplinary Design, vol 91. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-31768-6_6

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  • DOI: https://doi.org/10.1007/3-540-31768-6_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-31767-8

  • Online ISBN: 978-3-540-31768-5

  • eBook Packages: EngineeringEngineering (R0)

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