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Dealing with the Dispersed Phase in Turbulent Gas-Particle Flows using a Direct Coupling Between Stochastic Lagrangian and Eulerian Approaches

机译:使用随机拉格朗日方法和欧拉方法之间的直接耦合处理湍流气体颗粒流中的分散相

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The purpose of this paper is to present the methodology and preliminary results of a coupled approach between a stochastic lagrangian approach and a two-fluid method in gas-particle turbulent flows. The study is limited to the case of inert monodispersed particle flows without two-way coupling. Thus the particles only experience drag and gravity as external forces. However, particle-particle interactions (i.e. collisions) are taken into account. The dispersed phase is represented in terms of a joint fluid-particle probability density function (pdf) which obeys a Boltzmann-like equation. This evolution equation is then solved using two different approaches, depending on the location in the flow. The first one is a stochastic lagrangian approach which embeds a Langevin equation for the fluid velocity seen along the particle path and a Monte-Carlo collision algorithm simulating particle-particle interactions. The second one is a second-order momentum approach derived from the preceding stochastic lagrangian approach. Turbulent dispersion and collision terms are modeled following Simonin [1]. These two approaches are then to be coupled. The coupling is carried through half-fluxes, allowing well-posed boundary conditions stemmed from previous time-step statistics.
机译:本文的目的是介绍随机拉格朗日方法与气粒湍流中的两种流体方法之间的耦合方法的方法和初步结果。该研究仅限于没有双向耦合的惰性单分散颗粒流的情况。因此,颗粒仅作为外力体验拖曳和重力。然而,考虑颗粒颗粒相互作用(即碰撞)。分散的相位以接头流体粒子概率密度(PDF)表示,该函数密度函数(PDF)遵守Boltzmann的等式。然后使用两种不同的方法来解决这种演化方程,这取决于流程中的位置。第一个是一种随机拉格朗日方法,该方法嵌入沿粒径和模拟粒子颗粒相互作用的沿粒径和蒙特卡罗碰撞算法的流体速度的Langevin方程。第二个是源自前翅目拉格朗日方法的二阶动量方法。湍流色散和碰撞术语在Simonin [1]之后建模。然后将这两种方法耦合。耦合通过半丝量携带,允许从先前的时间步长统计源于良好的边界条件。

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