Numerical simulation of a flexible fiber deformation in a viscous flow by the immersed boundary-lattice Boltzmann method
Numerical simulation of a flexible fiber deformation in a viscous flow by the immersed boundary-lattice Boltzmann method
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DOI：
10.1016/j.cnsns.2011.07.039
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发表时间：
2012-03
影响因子：
3.9
通讯作者：
K. Vahidkhah;V. Abdollahi
中科院分区：
文献类型：
--
作者：
K. Vahidkhah;V. Abdollahi
本文采用数值模拟方法，研究了无质量端部固定弹性纤维在二维粘性通道中的变形问题。采用晶格-玻尔兹曼法（LBM）求解牛顿流场，采用浸入边界法（IBM）模拟柔性纤维与流动相互作用的变形。该非定常模拟的结果包括纤维变形、流体速度场和纤维长度在不同时间步长的变化。在表示不同拉伸常数值的纤维长度变化的图中也观察到类似的趋势。此外，数值解达到了一个稳定的状态，相当于流体通道流过一个平板。
In this paper, deformation of a mass-less elastic fiber with a fixed end, immersed in a two-dimensional viscous channel flow, is simulated numerically. The lattice-Boltzmann method (LBM) is used to solve the Newtonian flow field and the immersed-boundary method (IBM) is employed to simulate the deformation of the flexible fiber interacting with the flow. The results of this unsteady simulation including fiber deformation, fluid velocity field, and variations of the fiber length are depicted in different time-steps through the simulation time. Similar trends are observed in plots representing length change of fibers with different values of stretching constant. Also, the numerical solution reaches a steady state equivalent to the fluid channel flow over a flat plate.