两相湍流色噪声扩维法PDF模型及数值模拟  

A Two-phase Turbulence PDF Model with Expanding Dimension Method of Colored Noise and Simulation of Wall-jet-flows

作　　者：李昭祥[1] 徐江荣[2] 杨忠华[1] 

机构地区：[1]上海师范大学数理学院科学计算上海高校重点实验室 [2]杭州电子科技大学理学院

出　　处：《计算物理》2010年第1期38-44,共7页Chinese Journal of Computational Physics

基　　金：国家自然科学基金(10671130;10901106);上海重点学科建设项目(S30405);浙江省自然科学基金(Y105028);上海师范大学科研项目(SK200936);上海市教委创新项目(09YZ150)资助项目

摘　　要：由颗粒运动的朗之万方程出发,对流体脉动速度采用扩维方法,得到两个不同层次的PDF输运方程.通过对颗粒运动方程求解和高斯分布假设,解决PDF方程的封闭问题,获得颗粒二阶矩模型,然后将颗粒应力方程简化成代数方程,建立代数应力模型.将对流扩散方程的有限分析法运用到求解两相流模型中,对壁面两相射流进行数值模拟,对比分析数值结果与实验结果.With Langevin equation of particle motion, PDF equations in two levels are obtained in which the fluid fluctuation velocity is expanded in dimension and one-dimensional colored noise is transformed into two-dimensional white noise. They are two-phase PDF transport equation of turbulence and particle-phase PDF transport equation. With particle motion equations and assumption of Gaussian distribution, a closure problem of PDF equation is solved and a second-order-moment model is obtained. It is simplified into an algebra stress model [ ASM ]. A finite analytic numerical method for convective diffusion equation is applied to solve the two-order moment model of two-phase flows. A wall-jet-flow loaded with solid particles is studied in the ASM by finite analytic numerical method. Numerical results are compared with experimental results.

关 键 词：湍流 扩维法 两相流 数值模拟 色噪声 二阶矩模型 

分 类 号：TK121[动力工程及工程热物理—工程热物理]