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Numerical investigations of turbulent free surface flows using TOPUS scheme

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Abstract

In this paper, we present a numerical technique for the simulation of two-dimensional incompressible turbulent flows. In particular, the performance of the realizable Reynolds stress algebraic equation model and the high-order polynomial upwind scheme, TOPUS, is assessed for free surface incompressible turbulent flows. The Reynolds averaged Navier–Stokes equations and continuity equations are solved using the finite difference methodology on a staggered grid system. The numerical method is investigated by solving two free surface fluid flow problems, namely, a turbulent free jet impinging onto a flat surface and a broken dam. The method is then applied to simulate a sluice gate and a horizontal jet penetrating a quiescent fluid from an entry port beneath the free surface.

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Acknowledgments

This research work was supported by the FAPESP (Fundação de Amparo à Pesquisa do Estado de São Paulo) under Grants 05/51458-0, 06/05910-1 and 10/16865-2.

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Authors and Affiliations

  1. Departamento de Ciência da Computação, Instituto de Ciências Exatas, Universidade Federal de Juiz de Fora, Juiz de Fora, Brazil

    R. A. B. de Queiroz

  2. Departamento de Engenharia de Construção Civil, Escola Politécnica, Universidade de São Paulo, São Paulo, Brazil

    F. A. Kurokawa

  3. Departamento de Matemáticas, Universidad Del Atlantico, Barranquilla, Colombia

    M. A. C. Candezano

  4. Departamento de Matemática Aplicada e Estatística, Instituto de Ciências Matemáticas e de Computação, Universidade de São Paulo, São Paulo, Brazil

    L. Corrêa

Authors
  1. R. A. B. de Queiroz
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  2. F. A. Kurokawa
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  3. M. A. C. Candezano
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  4. L. Corrêa
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Corresponding author

Correspondence to R. A. B. de Queiroz.

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Communicated by Eduardo Souza de Cursi.

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de Queiroz, R.A.B., Kurokawa, F.A., Candezano, M.A.C. et al. Numerical investigations of turbulent free surface flows using TOPUS scheme. Comp. Appl. Math. 36, 1145–1160 (2017). https://doi.org/10.1007/s40314-015-0289-1

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  • DOI: https://doi.org/10.1007/s40314-015-0289-1

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