Brownian dynamics of rigid particles in an incompressible fluctuating fluid by a meshfree method
Brownian dynamics of rigid particles in an incompressible fluctuating fluid by a meshfree method
复制标题
DOI：
10.1016/j.compfluid.2016.01.003
复制
发表时间：
2014-02
期刊：
影响因子：
--
通讯作者：
Anamika Pandey;S. Hardt;A. Klar;S. Tiwari
中科院分区：
文献类型：
--
作者：
Anamika Pandey;S. Hardt;A. Klar;S. Tiwari
提出了含流固耦合的波动流体动力学方程的无网格拉格朗日解法。通过对波动流体力学方程的直接数值模拟，研究了颗粒的布朗运动。在此框架下，在波动流体和固体物体之间引入了双向耦合。控制固体物体运动的力完全是由周围的流体粒子产生的。由于采用了无网格公式，该方法可以推广到许多涉及复杂流体流动的实际应用中。提出了一种三维实现方法。特别地，我们观察了布朗粒子的速度自相关函数（VACF）的短期和长期行为，并将其与解析表达式进行了比较。此外，再现了斯托克斯-爱因斯坦关系，以确保布朗动力学的正确长期行为。
A meshfree Lagrangian method for the fluctuating hydrodynamic equations (FHEs) with fluid-structure interactions is presented. Brownian motion of the particle is investigated by direct numerical simulation of the fluctuating hydrodynamic equations. In this framework a bidirectional coupling has been introduced between the fluctuating fluid and the solid object. The force governing the motion of the solid object is solely due to the surrounding fluid particles. Since a meshfree formulation is used, the method can be extended to many real applications involving complex fluid flows. A three-dimensional implementation is presented. In particular, we observe the short and long-time behavior of the velocity autocorrelation function (VACF) of Brownian particles and compare it with the analytical expression. Moreover, the Stokes-Einstein relation is reproduced to ensure the correct long-time behavior of Brownian dynamics.