Summary
This paper presents results of a numerical study of the unsteady, three-dimensional, lid-driven cavity flow at a Reynolds number of 3200. A finite-volume, multi-grid method was used in combination with a co-located variable arrangement to solve the governing equations. The central difference scheme is used for spatial discretization and two second-order schemes are employed for the time-discretization. The pressure and velocity fields are coupled using the SIMPLE algorithm.
It is shown that the flow is unsteady and non-periodic although the boundary conditions are steady in time. The spatial resolution was found to be much more important than the temporal resolution in determining the instantaneous flow field. The influence of imposing a symmetry boundary condition at the geometric symmetry plane of the cavity is considered. Results of the full-cavity simulation on a 32 × 32 × 96 grid are presented and discussed.
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References
KOSEFF, J.R., STREET, R.L.: `The Lid-Driven Cavity Flow: A Synthesis of Qualitative and Quantitative Observations’, J. of Fluids Engineering, 106, 390–398, (1984).
FREITAS, C.F., STREET, R.L., FINDIKAKIS, A.N., KOSEFF, J.R.: `Numerical Simulation of Three-Dimensional Flow in a Cavity’, Int. J. Numer. Methods Fluids, 5, 561–575, (1985).
DEVILLE, M., LE, T.H., MORCHOISNE, Y.: `Testcase Specification of the GAMM Workshop on Numerical Simulation of 3-D Incompressible Unsteady Viscous Laminar Internal and/or External Flows’, June, 12–14, 1991, Ecole Nationale Supérieure d’Arts et Métiers.
STONE, H.L.: `Iterative Solution of Implicit Approximations of Multi-Dimensional Partial Differential Equations’, SIAM J. Numer. Anal., 5, 530–558 (1968).
PERIC, M., KESSLER, R., SCHEUERER, G.: `Comparison of Finite-Volume Numerical Methods with Staggered and Colocated Grids’, Comput. Fluids, 16, 389–403 (1988).
PATANKAR, S.V., SPALDING, D.B.: `A Calculation Procedure for Heat, Mass and Momentum Transfer in Three- Dimensional Parabolic Flows’, Int. J. Heat Mass Transfer, 15, 1787–1806 (1972).
HORTMANN, M., PERI, M., SCHEUERER, G.: `Finite Volume Multigrid Prediction of Natural Convection: Benchmark Solutions’, Int. J. Numer. Methods Fluids, 11, 189–207 (1990).
PERNG, C., STREET, R.L.: `Three-Dimensional Unsteady Flow Simulations: Alternative Strategies for a Volume-Averaged Calculation’, Int. J. Nurner. Methods Fluids, 9, 341–362 (1989).
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© 1992 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig/Wiesbaden
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Arnal, M., Lauer, O., Lilek, Ž., Perić, M. (1992). Prediction of Three-Dimensional Unsteady Lid-Driven Cavity Flow. 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_3
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DOI: https://doi.org/10.1007/978-3-663-00221-5_3
Publisher Name: Vieweg+Teubner Verlag, Wiesbaden
Print ISBN: 978-3-663-00071-6
Online ISBN: 978-3-663-00221-5
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