论文标题
双向耦合粒子流动在任意形状的网格上的干扰校正点粒子方法
A disturbance corrected point-particle approach for two-way coupled particle-laden flows on arbitrary shaped grids
论文作者
论文摘要
提出了一种一般的,双向耦合的点粒子公式,说明了分散粒子在获得精确计算力闭合模型所需的不受干扰的流体流场中产生的干扰。具体而言,首先根据有限体积公式中的相之间动量耦合力来得出了由粒子的存在产生的干扰场的方程。使用两种方法获得了解决干扰场的解决方案:(i)通过计算控制量处的颗粒引起的反作用力直接计算干扰速度和压力,以及(ii)对干扰速度场的线性近似计算,特别适用于低雷诺数量流动。在这两种方法中,计算的干扰场均用于获得对粒子上空气动力进行建模所需的不受干扰的流体速度。在均匀,各向异性的无界和壁结合的流以及非结合的流以及非结构化的网格上,对两种方法进行了彻底评估,以显示粒子运动和相位间耦合的准确计算。该方法是直接的,可以应用于包括Euler-Lagrange和Euler-Euler配方在内的含量流量的任何数值公式。
A general, two-way coupled, point-particle formulation that accounts for the disturbance created by the dispersed particles in obtaining the undisturbed fluid flow field needed for accurate computation of the force closure models is presented. Specifically, equations for the disturbance field created by the presence of particles are first derived based on the inter-phase momentum coupling force in a finite-volume formulation. Solution to the disturbance field is obtained using two approaches: (i) direct computation of the disturbance velocity and pressure using the reaction force due to particles at computational control volumes, and (ii) a linearized, approximate computation of the disturbance velocity field, specifically applicable for low Reynolds number flows. In both approaches, the computed disturbance field is used to obtain the undisturbed fluid velocity necessary to model the aerodynamic forces on the particle. The two approaches are thoroughly evaluated for a single particle in an unbounded and wall-bounded flow on uniform, anisotropic, as well as unstructured grids to show accurate computation of the particle motion and inter-phase coupling. The approach is straightforward and can be applied to any numerical formulation for particle-laden flows including Euler-Lagrange as well as Euler-Euler formulations.