CLC number: O35
On-line Access: 2018-05-04
Received: 2017-03-05
Revision Accepted: 2017-07-03
Crosschecked: 2018-04-13
Cited: 0
Clicked: 5145
Xiao-di Wu, Hua-ping Liu, Fu Chen. Numerical investigation of flow characteristics around two side-by-side cylinders by immersed boundary-lattice Boltzmann flux solver[J]. Journal of Zhejiang University Science A, 2018, 19(5): 384-398.
@article{title="Numerical investigation of flow characteristics around two side-by-side cylinders by immersed boundary-lattice Boltzmann flux solver",
author="Xiao-di Wu, Hua-ping Liu, Fu Chen",
journal="Journal of Zhejiang University Science A",
volume="19",
number="5",
pages="384-398",
year="2018",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.A1700112"
}
%0 Journal Article
%T Numerical investigation of flow characteristics around two side-by-side cylinders by immersed boundary-lattice Boltzmann flux solver
%A Xiao-di Wu
%A Hua-ping Liu
%A Fu Chen
%J Journal of Zhejiang University SCIENCE A
%V 19
%N 5
%P 384-398
%@ 1673-565X
%D 2018
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.A1700112
TY - JOUR
T1 - Numerical investigation of flow characteristics around two side-by-side cylinders by immersed boundary-lattice Boltzmann flux solver
A1 - Xiao-di Wu
A1 - Hua-ping Liu
A1 - Fu Chen
J0 - Journal of Zhejiang University Science A
VL - 19
IS - 5
SP - 384
EP - 398
%@ 1673-565X
Y1 - 2018
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/jzus.A1700112
Abstract: In this paper, to study the characteristics of the flow in a laminar regime, an immersed boundary-lattice Boltzmann flux solver (IB-LBFS) is applied to numerically simulate the unsteady viscous flows around two fixed and rotating circular cylinders in side-by-side arrangement. This method applies finite volume discretization to solve the macroscopic governing equations with the flow variables defined at cell centers. At the cell interface, numerical fluxes are physically evaluated by a local lattice Boltzmann solution. In addition, the no-slip boundary condition is accurately imposed by using the implicit boundary condition-enforced immersed boundary method. Due to the simplicity and high efficiency of IB-LBFS on non-uniform grids, it is suitable for simulating fluid flows with complex geometries and moving boundaries. Firstly, numerical simulations of laminar flow past two side-by-side cylinder are performed with different gap spacings at Reynolds numbers of 100 and 200. The simulation results show that a small gap spacing induces a biased flow and forms an irregular big wake behind two cylinders at a low Reynolds number. As the gap spacing increases, an in-phase or anti-phase flow is observed. Then, the effects of the main important parameters on flow characteristics are analyzed for flow past two side-by-side rotating cylinders, including the rotational speed, Reynolds number, and gap spacing. As the rotational speed is increased, the numerical results illustrate that unsteady wakes are suppressed and the flow becomes steady. As the gap spacing is increased, two separate vortex streets behind each cylinder are formed with a definite phase relationship and single shedding frequency.
In this paper the authors carried out a numerical study on the flow characteristics around two side by side cylinders by using the immersed boundary lattice Boltzmann flux solver (IB-LBFS). The IB-LBFS applied in this work was first validated through several numerical examples. After that, both of the stationary and rotating cylinders in flows at low Reynolds numbers were considered. The effects of gap ratios between the cylinders and Reynolds numbers on the flow pattern, vortex structures and forces were well compared. As a new alternative method for CFD, it is quite interesting to see new successfully applications of the IB-LBFS to flow problems with complex geometries and moving boundaries.
[1]Afgan I, Kahil Y, Benhamadouche S, et al., 2011. Large eddy simulation of the flow around single and two side-by-side cylinders at subcritical Reynolds numbers. Physics of Fluids, 23(7):075101.
[2]Alam MM, Moriya M, Sakamoto H, 2003. Aerodynamic characteristics of two side-by-side circular cylinders and application of wavelet analysis on the switching phenomenon. Journal of Fluids and Structures, 18(3-4):325-346.
[3]Alam MM, Zhou Y, 2007. Flow around two side-by-side closely spaced circular cylinders. Journal of Fluids and Structures, 23(5):799-805.
[4]Behzad GD, Hamed HG, 2009. Numerical simulation of flow through tube bundles in in-line square and general staggered arrangements. International Journal of Numerical Methods for Heat and Fluid Flow, 19(8):1038-1062.
[5]Carini M, Giannetti F, Auteri F, 2014. On the origin of the flip-flop instability of two side-by-side cylinder wakes. Journal of Fluid Mechanics, 742:552-576.
[6]Chan AS, Jameson A, 2010. Suppression of the unsteady vortex wakes of a circular cylinder pair by a doublet-like counter-rotation. International Journal for Numerical Methods in Fluids, 63(1):22-39.
[7]Chan AS, Dewey PA, Jameson A, et al., 2011. Vortex suppression and drag reduction in the wake of counter-rotating cylinders. Journal of Fluid Mechanics, 679: 343-382.
[8]Choi JI, Oberoi RC, Edwards JR, et al., 2007. An immersed boundary method for complex incompressible flows. Journal of Computational Physics, 224(2):757-784.
[9]Ding H, Shu C, Yeo KS, et al., 2007. Numerical simulation of flows around two circular cylinders by mesh-free least square-based finite difference methods. International Journal for Numerical Methods in Fluids, 53(2):305-332.
[10]Feng ZG, Michaelides EE, 2004. The immersed boundary-lattice Boltzmann method for solving fluid-particles interaction problems. Journal of Computational Physics, 195(2):602-628.
[11]Feng ZG, Michaelides EE, 2005. Proteus: a direct forcing method in the simulations of particulate flows. Journal of Computational Physics, 202(1):20-51.
[12]Gao YY, Yu DY, Tan S, et al., 2010. Experimental study on the near wake behind two side-by-side cylinders of unequal diameters. Fluid Dynamics Research, 42(5):055509.
[13]Harichandan AB, Roy A, 2010. Numerical investigation of low Reynolds number flow past two and three circular cylinders using unstructured grid CFR scheme. International Journal of Heat and Fluid Flow, 31(2):154-171.
[14]Hesam SM, Navid N, Behzad GD, 2011. Numerical simulation of flow over two side-by-side circular cylinder. Journal of Hydrodynamics, Ser. B, 23(6):792-805.
[15]Kang S, Choi H, Lee S, 1999. Laminar flow past a rotating cylinder. Physics of Fluids, 11(11):3312-3321.
[16]Kim S, Alam MM, 2015. Characteristics and suppression of flow-induced vibrations of two side-by-side circular cylinders. Journal of Fluids and Structures, 54:629-642.
[17]Kumar S, Gonzalez B, Probst O, 2011. Flow past two rotating cylinders. Physics of Fluids, 23(1):014102.
[18]Lai MC, Peskin CS, 2000. An immersed boundary method with formal second-order accuracy and reduced numerical viscosity. Journal of Computational Physics, 160(2):705-719.
[19]Liu C, Zheng X, Sung CH, 1998. Preconditioned multigrid methods for unsteady incompressible flows. Journal of Computational Physics, 139(1):35-57.
[20]Mohany A, Arthurs D, Bolduc M, et al., 2014. Numerical and experimental investigation of flow-acoustic resonance of side-by-side cylinders in a duct. Journal of Fluids and Structures, 48:316-331.
[21]Qian YH, D’Humières D, Lallemand P, 1992. Lattice BGK model for Navier-Stokes equation. Europhysics Letters (EPL), 17(6):479-484.
[22]Shu C, Wang Y, Teo CJ, et al., 2015. Development of lattice Boltzmann flux solver for simulation of incompressible flows. Advances in Applied Mathematics and Mechanics, 6(04):436-460.
[23]Song FL, Tseng SY, Hsu SW, et al., 2015. Gap ratio effect on flow characteristics behind side-by-side cylinders of diameter ratio two. Experimental Thermal and Fluid Science, 66:254-268.
[24]Stojkovic D, Breuer M, Durst F, 2002. Effect of high rotation rates on the laminar flow around a circular cylinder. Physics of Fluids, 14(9):3160-3178.
[25]Supradeepan K, Roy A, 2014. Characterisation and analysis of flow over two side by side cylinders for different gaps at low Reynolds number: a numerical approach. Physics of Fluids, 26(6):063602.
[26]Supradeepan K, Roy A, 2015. Low Reynolds number flow characteristics for two side-by-side rotating cylinders. Journal of Fluids Engineering, 137(10):101204.
[27]Vakil A, Green SI, 2011. Two-dimensional side-by-side circular cylinders at moderate Reynolds numbers. Computers & Fluids, 51(1):136-144.
[28]Wang Y, Shu C, Teo CJ, et al., 2015a. An immersed boundary-lattice Boltzmann flux solver and its applications to fluid-structure interaction problems. Journal of Fluids and Structures, 54:440-465.
[29]Wang Y, Shu C, Huang HB, et al., 2015b. Multiphase lattice Boltzmann flux solver for incompressible multiphase flows with large density ratio. Journal of Computational Physics, 280:404-423.
[30]Wang Y, Shu C, Teo CJ, et al., 2016. An efficient immersed boundary-lattice Boltzmann flux solver for simulation of 3D incompressible flows with complex geometry. Computers & Fluids, 124:54-66.
[31]Wang Y, Shu C, Yang LM, et al., 2017. On the immersed boundary-lattice Boltzmann simulations of incompressible flows with freely moving objects. International Journal for Numerical Methods in Fluids, 83(4):331-350.
[32]Wang ZJ, Zhou Y, 2005. Vortex interactions in a two side-by- side cylinder near-wake. International Journal for Heat and Fluid Flow, 26(3):362-377.
[33]Williamson CHK, 1985. Evolution of a single wake behind a pair of bluff bodies. Journal of Fluid Mechanics, 159: 1-18.
[34]Wu J, Shu C, 2009. Implicit velocity correction-based immersed boundary-lattice Boltzmann method and its applications. Journal of Computational Physics, 228(6):1963-1979.
[35]Wu J, Shu C, 2010. An improved immersed boundary-lattice Boltzmann method for simulating three-dimensional incompressible flows. Journal of Computational Physics, 229(13):5022-5042.
[36]Yoon HS, Chun HH, Kim JH, et al., 2009. Flow characteristics of two rotating side-by-side circular cylinder. Computers & Fluids, 38(2):466-474.
Open peer comments: Debate/Discuss/Question/Opinion
<1>