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Numerical simulations for the contraction flow using grid generation

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Abstract

We study the incomprssible Navier Stokes equations for the flow inside contraction geometry. The governing equations are expressed in the vorticity-stream function formulations. A rectangular computational domain is arised by elliptic grid generation technique. The numerical solution is based on a technique of automatic numerical generation of acurvilinear coordinate system by transforming the governing equation into computational plane. The transformed equations are approximated using central differences and solved simultaneously by successive over relaxation iteration. The time dependent of the vorticity equation solved by using explicit marching procedure. We will apply the technique on several irregularshapes.

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Authors and Affiliations

  1. Department of Mathematics, Suez Canal University, Ismailia, Egypt

    S. A. Salem

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  1. S. A. Salem
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Correspondence to S. A. Salem.

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Salem. A. Salem received B. Sc. and M. Sc. at Suez Canal University (Egypt). Also Ph.D At University Of Saskatchewan (Saskatoon-Canada) under the direction of Prof. M. N. Esmail. Since 1991, I have been at the Suez Canal University. In 1994 go to associate Prof. To teach in the Girls College in Saudi-Arabia until 2000 after that go back to the Suez Canal University. I interest to research in the Method of Numerical Grid Generation techniques and Computational Fluid Dynamics. Also Modern finite-difference techniques in Partial Differential Equations.

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Salem, S.A. Numerical simulations for the contraction flow using grid generation. JAMC 16, 383–405 (2004). https://doi.org/10.1007/BF02936176

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  • DOI: https://doi.org/10.1007/BF02936176

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