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PDF model based on Langevin equation for polydispersed two-phase flows applied to a bluff-body gas-solid flow,

机译：基于Langevin方程的多分散两相流pDF模型   适用于钝体气固流动，

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The aim of the paper is to discuss the main characteristics of a completetheoretical and numerical model for turbulent polydispersed two-phase flows,pointing out some specific issues. The theoretical details of the model havealready been presented [Minier and Peirano, Physics Reports, Vol. 352/1-3, 2001]. Consequently, the present work is mainly focused on complementary aspects,that are often overlooked and that require particular attention. In particular,the following points are analysed : the necessity to add an extra term in theequation for the velocity of the fluid seen in the case of twoway coupling, thetheoretical and numerical evaluations of particle averages and the fulfilmentof the particle mass-continuity constraint. The theoretical model is developedwithin the PDF formalism. The important-physical choice of the state vectorvariables is first discussed and the model is then expressed as a stochasticdifferential equation (SDE) written in continuous time (Langevin equations) forthe velocity of the fluid seen. The interests and limitations of Langevinequations, compared to the single-phase case, are reviewed. From the numericalpoint of view, the model corresponds to an hybrid Eulerian/Lagrangian approachwhere the fluid and particle phases are simulated by different methods.Important aspects of the Monte Carlo particle/mesh numerical method areemphasised. Finally, the complete model is validated and its performance isassessed by simulating a bluff-body case with an important recirculation zoneand in which two-way coupling is noticeable.
机译：本文的目的是讨论湍流多分散两相流的完整理论和数值模型的主要特征，并指出一些具体问题。该模型的理论细节已经提出[Minier and Peirano，Physics Reports，Vol。 352 / 1-3，2001]。因此，目前的工作主要集中在补充方面，这些方面往往被忽视，需要特别注意。特别是，分析了以下几点：在双向耦合情况下，在流体速度方程中需要增加一个附加项，对颗粒平均的理论和数值评估以及对颗粒质量连续性约束的实现。在PDF形式主义内发展了理论模型。首先讨论状态向量变量的重要物理选择，然后将模型表示为针对所观察到的流体速度连续时间编写的随机微分方程（SDE）（Langevin方程）。与单阶段案例相比，对Langevinequations的兴趣和局限性进行了回顾。从数值的角度来看，该模型对应于混合的欧拉/拉格朗日方法，其中通过不同方法模拟了流体和颗粒相。强调了蒙特卡洛颗粒/网格数值方法的重要方面。最后，通过模拟具有重要回流区的布拉夫壳体情况，验证了完整模型并评估其性能，在该情况下，双向耦合非常明显。

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