论文标题
在均质各向同性湍流的大涡模拟中的粒子分散的神经随机微分方程
Neural stochastic differential equations for particle dispersion in large-eddy simulations of homogeneous isotropic turbulence
论文作者
论文摘要
在稀释的湍流颗粒流动中,例如污染物或病毒颗粒的大气分散体,通过载体流体相的波动运动显着改变了示踪剂到低惯性颗粒的动力学。忽略流体速度波动对颗粒动力学的影响会导致粒子传输和分散体的预测不佳。为了说明流体相波动速度对粒子传输的影响,提出了与大涡模拟相连的随机微分方程,以模拟粒子看到的流体速度。随机微分方程中的漂移和扩散项是使用神经网络(“神经随机微分方程”)建模的。神经网络经过直接数值模拟(DNS)的训练,这些模拟(DNS)是在低和中等雷诺数下腐烂的均质性湍流。通过先验分析以及在低雷诺数下衰减均质的各向同性湍流的后验模拟来评估所提出模型的可预测性。与DNS数据相比,与无模型相比,总颗粒波动的动能不足40%,没有模型。相反,提出的模型预测与低惯性颗粒的DNS数据的5%以内的总颗粒波动匹配。对于惯性颗粒,该模型将不相关的粒子速度的方差与DNS结果的10%以内相匹配,而不是50%至70%的粒子速度在没有模型的情况下为60-70%。结论是,所提出的模型适用于涉及示踪剂和惯性颗粒的流程构型,例如污染物或病毒颗粒的传输和分散。
In dilute turbulent particle-laden flows, such as atmospheric dispersion of pollutants or virus particles, the dynamics of tracer-like to low inertial particles are significantly altered by the fluctuating motion of the carrier fluid phase. Neglecting the effects of fluid velocity fluctuations on particle dynamics causes poor prediction of particle transport and dispersion. To account for the effects of fluid phase fluctuating velocity on the particle transport, stochastic differential equations coupled with large-eddy simulation are proposed to model the fluid velocity seen by the particle. The drift and diffusion terms in the stochastic differential equation are modelled using neural networks ('neural stochastic differential equations'). The neural networks are trained with direct numerical simulations (DNS) of decaying homogeneous isotropic turbulence at low and moderate Reynolds numbers. The predictability of the proposed models are assessed against DNS results through a priori analyses and a posteriori simulations of decaying homogeneous isotropic turbulence at low-to-high Reynolds numbers. Total particle fluctuating kinetic energy is under-predicted by 40% with no model, compared to the DNS data. In contrast, the proposed model predictions match total particle fluctuating kinetic energy to within 5% of the DNS data for low to high-inertia particles. For inertial particles, the model matches the variance of uncorrelated particle velocity to within 10% of DNS results, compared to 60-70% under-prediction with no model. It is concluded that the proposed model is applicable for flow configurations involving tracer and inertial particles, such as transport and dispersion of pollutants or virus particles.