Vortex Formation in Lid-driven Cavity with Disturbance Block
Authors: Maysam Saidi, Hassan Basirat Tabrizi, Reza Maddahian
Abstract:
In this paper, numerical simulations are performed to investigate the effect of disturbance block on flow field of the classical square lid-driven cavity. Attentions are focused on vortex formation and studying the effect of block position on its structure. Corner vortices are different upon block position and new vortices are produced because of the block. Finite volume method is used to solve Navier-Stokes equations and PISO algorithm is employed for the linkage of velocity and pressure. Verification and grid independency of results are reported. Stream lines are sketched to visualize vortex structure in different block positions.
Keywords: Disturbance Block, Finite Volume Method, Lid-Driven Cavity
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1075964
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[1] O. R. Burggraf, "Analytical and numerical studies of the structure of steady separated flows”, J. Fluid Mech.,vol. 24, 1966, pp. 113–151.
[2] U. Ghia, K. N. Ghia, C. T. Shin, "High-Re solutions for incompressible flow using the Navier–Stokes equations and a multigrid method”, J. Comput. Phys., vol. 48, 1982, pp. 387–411.
[3] L. Fuchs, L. N. Tillmark, "Numerical and experimental study of driven flow in a polar cavity”, Int. J. Numer. Methods Fluids, vol. 5, 1985, pp. 311–329.
[4] R. Glowinski, G. Guidoboni, T. W. Pan, "Wall driven incompressible viscous flow in a two-dimensional semi-circular cavity”, J. Comput. Phys. Vol. 216, 2006, pp. 76–91.
[5] D. V. Patil, K. N. Lakshmisha, B. Rogg, "Lattice Boltzmann simulation of lid-driven flow in deep cavities”, Computers & Fluids, vol. 35, 2006, pp. 1116-1125.
[6] E. Erturk, B. Dursun, "Numerical solutions of 2-D steady incompressible flow in a driven skewed cavity”, J. Appl. Math. Mech., vol. 87, 2007, 377-392.
[7] H. Mercan, K. Atalik, "Vortex formation in lid-driven arc-shape cavity flows at high Reynolds numbers”, Europ. J. Mech. B/Fluids, vol. 28, 2009, pp. 61–71.
[8] T. Zhang, B. Shi, Z. Chai, "Lattice Boltzmann simulation of lid-driven flow in trapezoidal cavities”, Computers & Fluids, vol. 39, 2010, pp. 1977–1989.
[9] R.I. Issa, "Solution of the implicitly discretised fluid flow equations by operator-splitting”, J. Comput. Phys., vol. 62, 1986, pp. 40-65.