zbMATH — the first resource for mathematics

Multiple-relaxation-time lattice Boltzmann computation of channel flow past a square cylinder with an upstream control bi-partition. (English) Zbl 1426.76661
Summary: The present paper deals with the application of the multiple-relaxation-time lattice Boltzmann equation (MRT-LBE) for the simulation of a channel flow with a bi-partition located upstream of a square cylinder in order to control the flow. Numerical investigations have been carried out for different heights and positions of the bi-partition at Reynolds number of 250. Key computational issues involved are the computation of fluid forces acting on the square cylinder, the vortex shedding frequency and the impact of such bluff body on the flow pattern. A particular attention is paid to drag and lift coefficients on the square cylinder. The predicted results from MRT-LBE simulations show that in most cases, the interaction was beneficial insofar as the drag of the square block was lower with the bi-partition than without it. Fluctuating side forces due to vortex shedding from the main body were also reduced for most bi-partition positions.

76P05 Rarefied gas flows, Boltzmann equation in fluid mechanics
76M28 Particle methods and lattice-gas methods
Full Text: DOI
[1] Sakamoto, Optimal suppression of fluid forces acting on a circular cylinder, Journal of Fluids Engineering 116 pp 221– (1994)
[2] Kwon, Control of laminar vortex shedding behind a circular cylinder using splitter plates, Physics of Fluids 8 (2) pp 479– (1996) · Zbl 1023.76528
[3] Tao, A flow visualization study of feedback control of vortex shedding from a circular cylinder, Journal of Fluids and Structures 10 pp 965– (1996)
[4] Arcas, Aspects of wake vortex control through base blowing/suction, Physics of Fluids 16 pp 452– (2004) · Zbl 1186.76032
[5] Poncet, Vanishing of mode B in the wake behind a rotationally oscillating circular cylinder, Physics of Fluids 14 pp 2021– (2002) · Zbl 1185.76298
[6] Kim, Distributed forcing of flow over a circular cylinder, Physics of Fluids 17 (2005) · Zbl 1187.76270
[7] Amitay M, Smith BL, Glezer A. Aerodynamic flow control using synthetic jet technology. 36th AIAA Aerospace Sciences Meeting and Exhibit, Reno, NV, 1998. AIAA Paper 98-0208.
[8] Koenig, An experimental study of geometrical effects on the drag and flow field of two bluff bodies separated by a gap, Journal of Fluid Mechanics 156 pp 167– (1985)
[9] Lesage, A method of reducing drag fluctuating side force on bluff bodies, Journal of Wind Engineering and Industrial Aerodynamics 25 pp 229– (1987)
[10] Igarashi, Heat transfer enhancement and drag reduction of flat plate normal to airstream (Flow control using a rod), Transactions of the JSME B 62 (597) pp 1945– (1996) · doi:10.1299/kikaib.62.1945
[11] Igarashi, Drag reduction for D shapes and I shape cylinders aerodynamic mechanism of reduction of drag, JSME International Journal B 49 (4) pp 1036– (2006)
[12] Sakamoto, Suppression of fluid forces acting on a square prism by passive control, Journal of Fluids Engineering 119 (3) pp 506– (1997)
[13] Zhang, Aerodynamic characteristics of a square cylinder with a rod in a staggered arrangement, Experiments in Fluids 38 pp 494– (2005)
[14] Ozono, Flow control of vortex shedding by a short splitter plate asymmetrically arranged downstream of a cylinder, Physics of Fluids 11 (10) pp 2928– (1999) · Zbl 1149.76504
[15] Kahraman A. Investigation of flow structure from a vertical and horizontal cylinder in shallow water. Ph.D. Thesis, Cukurova University, Adana, 2002.
[16] Koutmos, Experimental and computational study of square cylinder wakes with two-dimensional injection into the base flow region, European Journal of Mechanics B/Fluids 23 pp 353– (2004) · Zbl 1058.76511
[17] Lee, The effect of surface protrusions on the near wake of a circular cylinder, Journal of Wind Engineering and Industrial Aerodynamics 69 pp 351– (1997)
[18] Choi, Control of flow over a bluff body, Annual Review of Fluid Mechanics 40 pp 113– (2008) · Zbl 1136.76022
[19] Alam, Suppression of fluid forces acting on two square prisms in a tandem arrangement by passive control of flow, Journal of Fluids and Structures 16 (8) pp 1073– (2002)
[20] Lankadasu, Interference effect of two-equal-sized square cylinders in tandem arrangement: with planar shear flow, International Journal for Numerical Methods in Fluids 57 pp 1005– (2008) · Zbl 1338.76023
[21] Cheng, Linear shear flow over a square cylinder at low Reynolds number, Physics of Fluids 17 (2005) · Zbl 1187.76096
[22] Zhou, Suppression of fluid force on a square cylinder by flow control, Journal of Fluids and Structures 21 pp 151– (2005)
[23] Zhang, Pressure boundary condition of the lattice Boltzmann method for fully developed periodic flows, Physical Review E 73 (2006)
[24] Breuer, Accurate computations of the laminar flow past a square cylinder based on two different methods: lattice-Boltzmann and finite-volume, International Journal of Heat and Fluid Flow 21 pp 186– (2000)
[25] Agrawal, Investigation of the flow around a pair of side-by-side square cylinders using the lattice Boltzmann method, Computers and Fluids 35 pp 1093– (2006) · Zbl 1177.76307
[26] d’Humières, Multiple-relaxation-time lattice Boltzmann models in three-dimensions, Philosophical Transactions of the Royal Society of London, Series A 360 pp 437– (2002)
[27] Bhatnagar, A model for collision processes in gases. I. Small amplitude processes in charged and neutral one-component systems, Physical Review Letters 94 pp 511– (1954) · Zbl 0055.23609
[28] Frisch, Lattice-gas automata for the Navier-Stokes equation, Physical Review Letters 56 pp 1505– (1986)
[29] Lallemand, Theory of the lattice Boltzmann method: dispersion, dissipation, isotropy, Galilean invariance, and stability, Physical Review Letters E 61 pp 6546– (2000) · doi:10.1103/PhysRevE.61.6546
[30] Ginzburg, Multireflection boundary conditions for lattice Boltzmann models, Physical Review E 68 (2003)
[31] d’Humières, Rarefied Gas Dynamics: Theory and Simulations pp 450– (1992)
[32] Bouzidi, Momentum transfer of Boltzmann-lattice fluid with boundaries, Physics of Fluids 13 pp 3452– (2001) · Zbl 1184.76068
[33] Jami, Lattice-Boltzmann computation of natural convection in a partitioned enclosure with inclined partitions attached to its hot wall, Physica A 368 pp 481– (2006)
[34] Mezrhab, Hybrid lattice Boltzmann finite-difference simulation of convective flows, Computers and Fluids 33 pp 623– (2004) · Zbl 1071.76044
[35] Mezrhab, Lattice Boltzmann simulation of surface radiation and natural convection in a square cavity with an inner cylinder, Journal of Physics D: Applied Physics 41 pp 115502– (2008)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.