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两相湍流色噪声扩维法PDF模型及数值模拟
引用本文:李昭祥,徐江荣,杨忠华.两相湍流色噪声扩维法PDF模型及数值模拟[J].计算物理,2010,27(1).
作者姓名:李昭祥  徐江荣  杨忠华
作者单位:1. 上海师范大学数理学院科学计算上海高校重点实验室,上海,200234
2. 杭州电子科技大学理学院,浙江,杭州,310018
基金项目:国家自然科学基金,上海重点学科建设项目,浙江省自然科学基金,上海师范大学科研项目,上海市教委创新项目 
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.

关 键 词:湍流  扩维法  两相流  数值模拟  色噪声  二阶矩模型

A Two-phase Turbulence PDF Model with Expanding Dimension Method of Colored Noise and Simulation of Wall-jet-flows
LI Zhaoxiang,XU Jiangrong,YANG Zhonghua.A Two-phase Turbulence PDF Model with Expanding Dimension Method of Colored Noise and Simulation of Wall-jet-flows[J].Chinese Journal of Computational Physics,2010,27(1).
Authors:LI Zhaoxiang  XU Jiangrong  YANG Zhonghua
Abstract: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 modelASM].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.
Keywords:turbulence  method of expanded dimension  two-phase flow  numerical simulation  colored noise  second order moment model
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