标题： 用于重粒子悬浮液欧拉描述的格子模型 显示英文标题

标题： A lattice model for the Eulerian description of heavy particle suspensions

摘要： 在考虑宽系统中小尺度耦合时，如大气或高雷诺数下的工业过程，对分散固体相进行建模仍然是一个计算挑战。 在此介绍了一种数值方法，用于模拟湍流中扩散性重惰性粒子的动力学。 该方法基于位置/速度相空间粒子分布。 速度的离散化受到格子玻尔兹曼方法的启发，并被选择以匹配两个时间步之间的离散位移。 对于每个空间位置，粒子动量的时间演化通过有限体积方法进行近似。 所提出的方法在单维度中使用随机流，以及在二维中使用强制不可压缩纳维-斯托克斯方程的解，对经历斯托克斯粘性阻力的粒子进行了测试。 结果表明，对于空间聚集和粒子速度的扩散，拉格朗日动力学和欧拉动力学之间有良好的一致性。 这证明了所提出的方法在大斯托克斯数或碰撞过程细节重要的情况下是合适的。 显示英文摘要

摘要： Modeling dispersed solid phases in fluids still represents a computational challenge when considering a small-scale coupling in wide systems, such as the atmosphere or industrial processes at high Reynolds numbers. A numerical method is here introduced for simulating the dynamics of diffusive heavy inertial particles in turbulent flows. The approach is based on the position/velocity phase-space particle distribution. The discretization of velocities is inspired from lattice Boltzmann methods and is chosen to match discrete displacements between two time steps. For each spatial position, the time evolution of particles momentum is approximated by a finite-volume approach. The proposed method is tested for particles experiencing a Stokes viscous drag with a prescribed fluid velocity field in one dimension using a random flow, and in two dimensions with the solution to the forced incompressible Navier-Stokes equations. Results show good agreements between Lagrangian and Eulerian dynamics for both spatial clustering and the dispersion in particle velocities. This demonstrates the suitability of the proposed approach at large Stokes numbers or for situations where details of collision processes are important.