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Evaluation of a bounded high order upwind scheme for 3D incompressible free surface flow computations

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  • Ferreira, V.G.
  • Kurokawa, F.A.
  • Oishi, C.M.
  • Kaibara, M.K.
  • Castelo, A.
  • Cuminato, J.A.

Abstract

In the context of normalized variable formulation (NVF) of Leonard and total variation diminishing (TVD) constraints of Harten, this paper presents an extension of a previous work by the authors for solving unsteady incompressible flow problems. The main contributions of the paper are threefold. First, it presents the results of the development and implementation of a bounded high order upwind adaptative QUICKEST scheme in the 3D robust code (Freeflow), for the numerical solution of the full incompressible Navier–Stokes equations. Second, it reports numerical simulation results for 1D shock tube problem, 2D impinging jet and 2D/3D broken dam flows. Furthermore, these results are compared with existing analytical and experimental data. And third, it presents the application of the numerical method for solving 3D free surface flow problems.

Suggested Citation

  • Ferreira, V.G. & Kurokawa, F.A. & Oishi, C.M. & Kaibara, M.K. & Castelo, A. & Cuminato, J.A., 2009. "Evaluation of a bounded high order upwind scheme for 3D incompressible free surface flow computations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(6), pages 1895-1914.
    • Handle: RePEc:eee:matcom:v:79:y:2009:i:6:p:1895-1914
    DOI: 10.1016/j.matcom.2007.04.018
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    1. Clive Ellegaard & Adam Espe Hansen & Anders Haaning & Kim Hansen & Anders Marcussen & Tomas Bohr & Jonas Lundbek Hansen & Shinya Watanabe, 1998. "Creating corners in kitchen sinks," Nature, Nature, vol. 392(6678), pages 767-768, April.
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