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首页> 外文期刊>The Journal of Chemical Physics >Direct simulations of flexible cylindrical fiber suspensions in finite Reynolds number flows
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Direct simulations of flexible cylindrical fiber suspensions in finite Reynolds number flows

机译：在有限雷诺数流中直接模拟柔性圆柱纤维悬架

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摘要

Direct simulations of flexible cylindrical fiber suspensions in a finite Reynolds number flow are reported.The simulation method is based on a lattice Boltzmann equation and a flexible fiber model.A slender solid body is discretized into a chain of cylindrical segments contacting each other at the their ends through ball and socket joints that allow adjacent segments to rotate around the joints in three dimensional space.A constraint force is imposed at each joint.In general,motion and rotational matrices of each segment are functions of constraint forces.It is necessary to linearize the rotational matrices in forces and torques so that constraint forces could be solved using joint contacting conditions.Therefore,quaternion parameters as well as rotational matrix could be expanded in a power series of the length of time step up to a second order.A half leapfrog algorithm D.Fincham,[CCP5 Quarterly,2,6 (1981)] is modified to ensure the ball and socket joint conditions to be satisfied at each time step.The validation of the present flexible fiber method is tested by using a rigid particle method.It is shown that the computational results are consistent with the existing experimental and theoretical results at finite Reynolds number flows.With the present method,nonlinear inertial interactions between fluid and flexible filaments can be naturally studied.A few applications are included.
机译：报道了在有限雷诺数流中对柔性圆柱纤维悬浮液的直接仿真，该仿真方法基于格子Boltzmann方程和柔性纤维模型，将细长的固体离散为一串圆柱体链段，在它们之间相互接触通过球窝关节的末端，允许相邻的段在三维空间中围绕关节旋转。在每个关节上施加约束力。通常，每个段的运动和旋转矩阵是约束力的函数。有必要进行线性化旋转力和扭矩的矩阵，以便可以使用关节接触条件解决约束力。因此，四元数参数以及旋转矩阵可以按时间长度的幂级数扩展到二阶。修改了算法D.Fincham，[CCP5 Quarterly，2,6（1981）]，以确保满足球窝关节的条件通过使用刚性粒子方法对本发明的柔性纤维方法进行了验证，结果表明，在有限的雷诺数流下，计算结果与现有的实验和理论结果是一致的。流体和柔性细丝之间的相互作用可以自然地进行研究，包括一些应用。

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