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两相湍流统一色噪声法概率密度函数模型
引用本文:王路,徐江荣.两相湍流统一色噪声法概率密度函数模型[J].物理学报,2015,64(5):54704-054704.
作者姓名:王路  徐江荣
作者单位:1. 南京理工大学能源与动力工程学院, 南京 210094;2. 杭州电子科技大学能源研究所, 杭州 310018
基金项目:国家自然科学基金(批准号: 51176044)和浙江省自然科学基金(批准号: Y1110620)资助的课题.
摘    要:统一色噪声近似方法对简单一维色噪声问题研究较为充分, 本文将统一色噪声法应用到高度复杂的多维气固两相湍流系统之中.首先从颗粒运动Langevin方程出发, 利用统一色噪声法获得两相湍流Fokker-Planck方程, 然后以此为基础建立颗粒轨道两阶矩模型.文中建立的新模型成功应用于后台阶两相湍流流场的数值模拟, 预报合理正确.研究表明, 对于多维两相湍流系统, 统一色噪声法仍然行之有效.

关 键 词:统一色噪声近似  概率密度函数模型  两阶矩模型  数值模拟
收稿时间:2014-07-25

A two-phase turbulence probability density function model in unified colored-noise approximation
Wang Lu,Xu Jiang-Rong.A two-phase turbulence probability density function model in unified colored-noise approximation[J].Acta Physica Sinica,2015,64(5):54704-054704.
Authors:Wang Lu  Xu Jiang-Rong
Institution:1. School of Energy and Power Engineering, Nanjing University of Sicence and Technology, Nanjing 210094, China;2. Insititute of Energy Science and Engineering, Hangzhou Dianzi University, Hangzhou 310018, China
Abstract:A unified colored-noise approximation (UCNA) method has been widely used to solve the simple one-dimensional problem, and this paper attempts to extend this method to multi-dimensional systems. Firstly, a Fokker-Planck equation is obtained by UCNA method based on the Langevin equation for particle motion, then a two-order moment trajectory model is established on this basis. The new model can be successfully used to predict the backward-facing step two-phase flow, and the simulation results agree well with the measurements. This study shows that the UCNA method is still effective in dealing with multi-dimensional two-phase turbulent systems.
Keywords:unified colored-noise approximation  probability density function model  two-order moment model  numerical simulation
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