By M. Deville, T. H. Lê, Y. Morchoisne (auth.), Michel Deville, Thien-Hiep Lê, Yves Morchoisne (eds.)

ISBN-10: 3663000710

ISBN-13: 9783663000716

ISBN-10: 3663002217

ISBN-13: 9783663002215

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397. N. Via di Vallerano 139 - 00128 Rome, Italy Summary In the present work a multigrid technique for the solution of elliptic equations is applied to the Kim & Moin fractional step method [1]. The Navier-Stokes equations are discretized on a fixed step grid. This approach allows to obtain a very simple and fast code; furthermore there is no need of special smoothing operators to increase the convergence rate of the multigrid solver. 000 ceHs. 1 Introduction The investigation of a three-dimensionallid-driven cavity flow can be a useful benchmark for numerical schemes, because this flow shows well-defined structures combined with a very simple geometry.

5 L -_ _ ~ ___ ~I. O n~ 33 A Fully Implicit and Fully Coupled Approach for the Simulation of Three-Dimensional Unsteady Incompressible Flows PARIS GAMM WORKSHOP. B. Deng, J. Piquet, P. Queutey & M. Visonneau CFD Group, LHN-UA 1217-CNRS I, Rue de la Noe, Nantes, FRANCE 1 INTRODUCTION The flow of a viscous fluid in a three dimensional cavity driven by its sliding upper wall is an interesting benchmark test problem because of its simple geometry and boundary conditions. In contrast with its twodimensional counterpart which is the most often used test case, only a limited number of steady flow calculations have been performed in the past on the (cubic) 1:1:1 case, usually for low Reynolds numbers « 10(0) and a low grid resolution, with finite difference methods [1] to [12], finite element methods [13] or spectral methods [14].

0 X. 5 Figure 4. Cubic Cavity. Velocity Profiles for Re = 400 on vertical and horizontal centerlines. 0, 2D Results [26] . +, 2D results [14]. ö, 3D results [14]. _ present "CPI" results. 4 1/ x Figure 5a. Velocity profiles in a square cavity ; Re = 1000. 0, 2D Results [26]. - , present "CPI" results with a 65 *65 grid . SAR=3:1,65*65*65 (HALF DOMAIN) IlE =3200 0. 5 Figure 6. SAR 3:1:1 3D cavity. Velocity profiles on the vertical and horizontal centerlines for several values of Re. 8 -. 4 o _4 1/ x Figure 5b.

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Numerical Simulation of 3-D Incompressible Unsteady Viscous Laminar Flows: A GAMM-Workshop by M. Deville, T. H. Lê, Y. Morchoisne (auth.), Michel Deville, Thien-Hiep Lê, Yves Morchoisne (eds.)

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