Abstract
Unsteady fully three-dimensional Navier-Stokes equations of viscous incompressible flow around finite length circular cylinder placed between two circular plates is studied using finite difference numerical scheme. The algorithm uses iterative correction processes of the velocity and the vorticity fields in order to satisfy the two divergence free conditions. In order to study the three-dimensional effects, results are presented for this external flow with Re=800 for different cylinder lengths.
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T.B. Gatski, C.E. Grosch, M.E. Rose, R.E. Spall, Numercial simulation of three-dimensional unsteady vortex flow using a compact vorticity-velocity formulation. Proceedings of the 7th GAMMConf. on Numer. Methods in Fluid Dynamics. Vol 20
A. Toumi, L. Ta Phuoc, Numerical study of the viscous incompressible flow by vorticity and velocity formulation. 5th Conf. on Numer. Methods in Laminar and Turbulent flows. Montréal. July 1987
K. Aziz, J.D. Hellums, Numerical solution of three-dimensional equations of motion of laminar convection. Physics of fuid, Vol 10, no 2. feb 67.
N. Takamitsu, Finite difference method to solve incompressible fluid flow. J. Comp. Physics, 499–518, (1985).
W. Labidi, I. Ta Phuoc, Numercial resolution of Navier-Stokes equations in velocity-vorticity formulation: application to the circular cylinder. Proceedings of the 7th GAMM-Conf. on Numer. Methods in Fluid Dynamics. Vol 20
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© 1989 Springer-Verlag
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Labidi, W., Ta Phuoc, L. (1989). Numerical resolution of the three-dimensional Navier-Stokes equations in velocity-vorticity formulation. In: Dwoyer, D.L., Hussaini, M.Y., Voigt, R.G. (eds) 11th International Conference on Numerical Methods in Fluid Dynamics. Lecture Notes in Physics, vol 323. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-51048-6_54
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DOI: https://doi.org/10.1007/3-540-51048-6_54
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Online ISBN: 978-3-540-46141-8
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