Summary
This paper deals with the direct simulation of the three-dimensional unsteady laminar flow of an incompressible viscous fluid in a lid-driven cavity at a Reynolds number equal to 3200. The dimensionless Navier-Stokes equations, using a velocity-pressure formulation, are written in conservative form. The discretization is based on a semi-implicit finite difference method with non-staggered variable arrangement. Central difference schemes are used for temporal and spatial discretization and are both second-order accurate. Pressure is obtained by solving a Poisson-like equation with a discrete divergence velocity minimization algorithm. Unsteady numerical results related to velocity, vorticity and pressure fields are given for three characteristic times after the upper surface of the cavity is impulsively started from rest.
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Rhee H.S., Koseff J.R. and Street R.L.: “ Flow visualization of a recirculating flow by rheoscopic liquid and liquid cristal techniques ” Exp. Fluids, 2, 57–64 (1984).
Freitas C.J. Street R.L. Findikakis A. N. and Koseff J.R.: “Numerical simulation of three-dimensional flow in a cavity ” Int. J. Numer. Methods Fluids, 5, 561–575 (1985).
Troff B., Lê T.H. and Loc T.P.: “A numerical method for the three-dimensional unsteady incompressible Navier-Stokes equations” J. Comput. and Appl. Math., Vol. 35, 1991, pp. 311–318.
Dang-Tran K. and Veber G.: “ Direct Numerical Simulation of Laminar and Turbulent Flows in a Diverging Channel” AIAA 22nd Fluid Dynamics, Plasma Dynamics and Laser Conference, Honolulu, Hawa“i (USA), June 24–26, 1991. AIAA Paper 91–1776. T.P. ONERA no 1991–64.
Dang-Tran K. and Morchoisne Y.: “ Numerical methods for direct simulation of turbulent shear flows ” von Karman Institute Lectures Series 1989–3 on “ Turbulent Shear flows ”, Rhode-Saint-Genèse (Belgium). T.P. ONERA n° 1989–12.
Lê T.H. and Morchoisne Y.: “ Traitement de la Pression en Incompressible Visqueux ” C. R. Acad. Sci. Paris, t. 312. Série II, p. 1071–1076, 1991.
Ryan J., Troff B., Lê T.H. and Morchoisne Y.: “Pressure calculation in incompressible flow” (to be submitted to Int. j. numer. methods fluids).
Rida S. and Dang-Tran K.: “Direct Simulation of Turbulent Pulsed Plane Channel Flows” 8th International Symposium on “Turbulent Shear Flow”, Munich (Germany), September 9–11, 1991. T.P. ONERA n° 1991–120.
Lê T.H., Ryan J. and Dang-Tran K.: “ Direct simulation of incompressible, viscous flow through a rotating square channel ” 91h GAMM Conference on Numerical Methods in Fluid Mechanics, Lausanne (Switzerland), September 25–27, 1991.
Ryan J., Lê T.H. and Morchoisne Y.: “ Panel code solvers ” Proceedings of the Seventh GAMM-Conference on Numerical Methods in Fluid Mechanics, Notes on Numerical Fluid Mechanics, Vol. 20, 1988, Michel Deville (Ed.), Vieweg, pp. 335342. T.P. ONERA n° 1987–139.
Perng C.Y. and Street R.L. “Three-dimensional unsteady flow simulations: Alternative strategies for a volume-averaged calculation ” Int. J. Numer. Methods fluids, 9, 341–362 (1989).
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© 1992 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig/Wiesbaden
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Cantaloube, B., Lê, T.H. (1992). Direct Simulation of Unsteady Flow in a Three-Dimensional Lid-Driven Cavity. In: Deville, M., Lê, TH., Morchoisne, Y. (eds) Numerical Simulation of 3-D Incompressible Unsteady Viscous Laminar Flows. Notes on Numerical Fluid Mechanics (NNFM), vol 48. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-663-00221-5_4
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DOI: https://doi.org/10.1007/978-3-663-00221-5_4
Publisher Name: Vieweg+Teubner Verlag, Wiesbaden
Print ISBN: 978-3-663-00071-6
Online ISBN: 978-3-663-00221-5
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