Improved immersed boundary lattice Boltzmann method and simulation of flow over rotating cylinder
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摘要: 针对浸没边界格子Boltzmann方法计算效率不足的问题,提出一种改进浸没边界格子Boltzmann方法。通过使用作用力格子Boltzmann模型,并简化流固耦合作用力的计算方法,使计算流程得到简化,同时,对比原方法转动圆柱绕流计算结果,计算时间缩短一半以上,提高了数值计算效率。结合改进算法研究转动圆柱绕流的流场升阻力系数、压力系数、流场速度等流体参数场随转速比的关系,揭示了一定的转动圆柱绕流动力学规律。研究结果表明,改进方法准确可靠。
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关键词:
- 流固耦合 /
- 格子Boltzmann方法 /
- 浸没边界法 /
- 转动圆柱绕流
Abstract: Based on Suzuki's immersed boundary lattice Boltzmann method, an improved approach is proposed. By adopting the force model of the lattice Boltzmann method and improving the technique of fluid structure interaction force calculation, the process of calculating the force of fluid structure interaction is simplified. Moreover,its calculation time is over 50% shorter than that of the original method, which means that efficiency is greatly improved. Based on the improved method, such features as lift coefficient, drag coefficient,pressure coefficient and flow field are discussed under different conditions of flow over a rotating cylinder. Compared with the related results, this new improved method is shown to be accurate and reliable. -
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[1] PRANDTL L. The magnus effect and wind-powered ships[J]. Naturwissenschaften,1925(13):93-108
[2] TOKUMARU P T,DIMOTAKIS P E. The lift of a cylinder executing rotary motions in an uniform flow[J]. Journal of Fluid Mechanics,1993(255):1-10.
[3] CHEN Y M,OU Y R,PEARLSTEIN A J. Development of the wake behind a circular cylinder impulsively started into rotatory and rectilinear motion[J]. Journal of Fluid Mechanics,1993(253):449-484.
[4] CHEW Y T,CHENG M,LUO S C. A numerical study of flow past a rotating circular cylinder using a hybrid vortex scheme[J]. Journal of Fluid Mechanics,1995(299):35-71.
[5] KANG S,CHOI H,LEE S. Laminar flow past a rotating circular cylinder[J]. Physics of Fluids(1994 present),1999,11(11):3312-3321.
[6] 何颖,杨新民,陈志华,等. 旋转圆柱绕流的流场特性[J]. 船舶力学,2015,19(5):501-508. HE Ying,YANG Xinmin,CHEN Zhihua,et al. Flow field characteristics of flow past a rotating cylinder[J]. Journal of Ship Mechanics,2015,19(5):501-508.
[7] 赫鹏,李国栋,杨兰,等. 圆柱绕流流场结构的大涡模拟研究[J]. 应用力学学报,2012,29(4):437-443. HAO Peng,LI Guodong,YANG Lan,et al. Large eddy simulation of the circular cylinder flow in different regimes[J]. Chinese Journal of Applied Mechanics, 2012,29(4):437-443.
[8] FENG Z G, MICHAELIDES E E. The immersed boundary-lattice Boltzmann method for solving fluid-particles interaction problems[J]. Journal of Computational Physics,2004,195(2):602-628.
[9] SUCCI S. The lattice Boltzmann equation:for fluid dynamics and beyond[M]. Oxford:Oxford University Press,2001.
[10] PESKIN C S. The immersed boundary method[J]. Acta Numerica,2002,11:479-517.
[11] NIU X D,SHU C,CHEW Y T,et al. A momentum exchange-basedimmersedboundary-latticeBoltzmann method for simulating incompressible viscous flows[J]. Physics Letters A,2006,354(3):173-182.
[12] WU J,SHU C. Implicit velocity correction-based immersed boundary-lattice Boltzmann method and its applications[J]. Journal of Computational Physics, 2009,228(6):1963-1979.
[13] SUZUKI K,INAMURO T. A higher-order immersed boundary-lattice Boltzmann method using a smooth velocity field near boundaries[J]. Computers and Fluids,2013,76:105-115.
[14] QIAN Y H,D'HUMIÈRES D,LALLEMAND P. Lattice BGK models for Navier-Stokes equation[J]. Europhysics Letters,1992,17(6):479-484.
[15] GUO Z L,ZHENG C G,SHI B C. Discrete lattice effects on the forcing term in the lattice Boltzmann method[J]. Physical Review E, 2002, 65(4):046308.
[16] GUO Z L,ZHENG C G,SHI B C. Non-equilibrium extrapolation method for velocity and pressure boundary conditions in the lattice Boltzmann method[J]. Chinese Physics,2002,11(4):366-374.
[17] MITTAL S,KUMAR B. Flow past a rotating cylinder[J]. Journal of Fluid Mechanics, 2003, 476:303-334.
[18] 邬小军. 静止和转动圆柱绕流的格子Boltzmann模拟[D]. 武汉:华中科技大学,2009. WU Xiaojun. The lattice Boltzmann method simulation of the flow past static and rotating circular cylinder[D]. Wuhan:Huazhong University of Science and Technology,2009 [19] YAN Y Y,ZU Y Q. Numerical simulation of heat transfer and fluid flow past a rotating isothermal cylinder-a LBM approach[J]. International Journal of Heat and Mass Transfer,2008,51(9/10):2519-2536.
[20] YU D Z,MEI R W,SHYY W. A unified boundary treatment in lattice Boltzmann method[C]//Proceedings of the 41st Aerospace Sciences Meeting and Exhibit. Reno,Nevada:AIAA,2003.
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