格子玻尔兹曼方法(LBM)及其在微通道绕流中的应用
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摘要
介绍了格子玻尔兹曼方法基本理论与计算方法,并建立了D2Q9计算模型,对宏观尺度及微通道中的非稳态绕流进行了数值模拟,得到了绕流过程的速度分布和涡量分布等信息,对流场结构、固体阻力、尾涡脱落等变化规律进行了分析。结果表明,格子玻尔兹曼方法以其计算稳定、效率高等优势能够应用于微反应器领域的数值模拟;同等液相停留时间条件下,微反应器中的圆柱绕流湍动程度明显降低,未形成周期性涡流,流动更加均匀稳定,有助于实现化学反应的精确控制。
The lattice Boltzmann method,its most important model lattice BGK and the boundary condition were introduced briefly. Using LBM,numerical simulation of flow around a cylinder in micro-channel was computed. The results included the velocity and vorticity distribution,the flow resistance,vortex formation and periodic shedding. The results showed that LBM had a stable and reliable computation performance and high efficiency,and could be used to investigate the fluid dynamics in micro-reactors. The turbulence around the cylinder in the micro-reactor decreased,and no periodic eddy current was formed.The flow was more uniform and stable,which was helpful to control the chemical reaction accurately.
The lattice Boltzmann method,its most important model lattice BGK and the boundary condition were introduced briefly. Using LBM,numerical simulation of flow around a cylinder in micro-channel was computed. The results included the velocity and vorticity distribution,the flow resistance,vortex formation and periodic shedding. The results showed that LBM had a stable and reliable computation performance and high efficiency,and could be used to investigate the fluid dynamics in micro-reactors. The turbulence around the cylinder in the micro-reactor decreased,and no periodic eddy current was formed.The flow was more uniform and stable,which was helpful to control the chemical reaction accurately.
引文
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[16]Silva L E,Silveira-Neto A,Damasceno J.Numerical simulation of two-dimensional flows over a circular cylinder using the immersed boundary method[J].Journal of Computational Physics,2003,189(2):351-370.
[2]Tutar M,Oguz G.Large eddy simulation of wind flow around parallel buildings with varying configurations[J].Fluid Dynamics Research,2002,31(5):289-315.
[3]Catalano P,Wang M,Iaccarino G,et al.Numerical simulation of the flow around a circular cylinder at high Reynolds numbers[J].International Journal of Heat and Fluid Flow,2003,24(4):463-469.
[4]Meneghini J,Saltara F,Siqueira C,et al.Numerical simulation of flow interference between two circular cylinders in tandem and side-by-side arrangements[J].Journal of Fluids and Structures,2001,15(2):327-350.
[5]Yan Y,Zu Y,Dong B.LBM,a useful tool for mesoscale modelling of single-phase and multiphase flow[J].Applied Thermal Engineering,2011,31(5):649-655.
[6]Zhou Y,Zhang R,Staroselsky I,et al.Numerical simulation of laminar and turbulent buoyancy-driven flows using a lattice Boltzmann based algorithm[J].International Journal of Heat and Mass Transfer,2004,47(22):4869-4879.
[7]Okajima A.Numerical simulation of flow around rectangular cylinders[J].Journal of Wind Engineering and Industrial Aerodynamics,1990,33(1):171-180.
[8]Hardy J,Pomeau Y,Pazzis O d.Time evolution of a two-dimensional model system.I.Invariant states and time correlation functions[J].Journal of Mathematical Physics,1973,14(12):1746-1759.
[9]Frisch U,Hasslacher B,Pomeau Y.Lattice-gas automata for the Navier-Stokes equation[J].Physical Revers Lett,1986,56(14):1505.
[10]McNamara G R,Zanetti G.Use of the Boltzmann Equation to Simulate Lattice-Gas Automata[J].Physical Review Letters,1988,61(20):2332-2335.
[11]Higuera F,Jimenez J.Boltzmann approach to lattice gas simulations[J].EPL(Europhysics Letters),1989,9(7):663.
[12]Qian Y,d'Humières D,Lallemand P.Lattice BGK models for navier-stokes equation[J].EPL(Europhysics Letters),1992,17(6):479.
[13]d'Humières D.Multiple-relaxation-time lattice Boltzmann models in three dimensions[J].Philosophical Transactions of the Royal Society of London Series A:Mathematical,Physical and Engineering Sciences,2002,360(1792):437-451.
[14]Latt J,Chopard B.Lattice Boltzmann method with regularized pre-collision distribution functions[J].Mathematics and Computers in Simulation,2006,72(2-6):165-168.
[15]Ansumali,Santosh.Minimal kinetic modeling of hydrodynamics[D].Zürich:ETH Zürich,2004.
[16]Silva L E,Silveira-Neto A,Damasceno J.Numerical simulation of two-dimensional flows over a circular cylinder using the immersed boundary method[J].Journal of Computational Physics,2003,189(2):351-370.