流场牵引轴向运动细丝的动态响应数值模拟
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摘要
基于格子玻尔兹曼方法和浸入边界法,针对低雷诺数下受不可压流体牵引轴向释放运动细丝的动态响应进行了数值模拟。结合基于动量交换的ME-IB-LB方法,细丝在时域上采用一阶插值方法,空间上采用中心差分法,研究了不同质量密度和不同释放速度下的细丝在流体中的动态特性。证明了该方法对研究轴向运动细丝的可行性,为一类受流体牵引轴向运动变长度柔性体的动力学研究提供了一种数值分析手段。
Dynamic simulation of axially released flexible filaments subjected to uniform incompressible fluid flow with a low Reynolds number is numerically simulated based on the lattice Boltzmann method and immersed boundary method. Combined with the ME-IB-LB method of momentum exchange, the first-order interpolation method is adopted in the time domain in the filaments and the central difference method is done in the spatial domain, which are used to study the dynamic properties of filaments in fluid with different mass density and different released velocities. The feasibility of this method used for the study of the axiallymoing filaments is proved. A numerical analysis method is provided for the dynamic research of a class of axiallymoving flexible body pulled fluid.
Dynamic simulation of axially released flexible filaments subjected to uniform incompressible fluid flow with a low Reynolds number is numerically simulated based on the lattice Boltzmann method and immersed boundary method. Combined with the ME-IB-LB method of momentum exchange, the first-order interpolation method is adopted in the time domain in the filaments and the central difference method is done in the spatial domain, which are used to study the dynamic properties of filaments in fluid with different mass density and different released velocities. The feasibility of this method used for the study of the axiallymoing filaments is proved. A numerical analysis method is provided for the dynamic research of a class of axiallymoving flexible body pulled fluid.
引文
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[3] J Zhang,S Childress,A Libchaber,et al.Flexible filaments in a flowing soap film as a model for one-dimensional flags in a two-dimensional wind[J].Nature,2000,408:835-839.
[4] L Zhu,CS Peskin.Simulation of a flexible flapping filament in a flowing soap film by the immersed boundary method[J].Journal of Computational Physics,2002,179(2):452-468.
[5] L Zhu,CS Peskin.Interaction of two flapping filaments in a flowing soap film[J].Physics of Fluids,2003,15(7):1954-1960.
[6] D Farnell,T David,DC Barton.Numerical simulations of a filament in a flowing soap film[J].International Journal for Numerical Methods in Fluids,2004,44(3):313-330.
[7] WX Huang,SJ Shin,HJ Sung.Simulation of flexible filaments in a uniform flow by the immersed boundary method[J].Journal of Computational Physics,2007,226(2):2206-2228.
[8] RN Hua,XY Lu.Numerical investigation of the dynamics of a flapping filament in the wake of cylinder[J].Advances in Applied Mathematics and Mechanics,2014,6(4):478-493.
[9] MJ Shlley,J Zhang.Flapping and bending bodies interacting with fluid flows[J].Fluid Mechanics,2011,43(1):449-465.
[10] XD Niu,C Shu,YT Chew.A momentum exchange-based immersed boundary-lattice Boltzmann method for simulating incompressible viscous flows[J].Physics Letters A,2006,354(3):173-182.
[11] BSH Connell,DKP Yue.Flapping dynamics of a flag in a uniform stream[J].Journal of Fluid Mechanics,2007,581:33-67.
[12] M Schafer,S Turek.Benchmark Computations of Laminar Flow Around a Cylinder[J].Notes on Numerical Fluid Mechanics,1996,48:547-566
[13] Tian,F.B.,Luo,H.,Zhu,L.,et al.An efficient immersed boundary-lattice Boltzmann method for hydrodynamic interaction of elastic filaments[J].Comput Phys,2011,230(19):7266-7283.