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基于Lagrange方法封闭的两相湍流场方程模型
引用本文:王路,徐江荣,刘保银.基于Lagrange方法封闭的两相湍流场方程模型[J].计算物理,2016,33(3):305-310.
作者姓名:王路  徐江荣  刘保银
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(51176044),浙江省自然科学基金(Y1110620)
摘    要:两相湍流场方程模型采用基于Euler方法的一阶矩方程,而二阶矩方程由Lagrange方法得到,新模型的封闭不需要附加其它假设.首先基于概率密度函数给出颗粒运动的连续方程和动量方程,其次由基于平均Langevin方程的Lagrange模型推导得到颗粒二阶矩方程,最终获得封闭的二阶矩模型.将新模型用于气固两相壁面射流的数值模拟,结果表明新模型合理有效.

关 键 词:场方程模型  Euler方法  Lagrange方法  数值模拟  
收稿时间:2015-04-08
修稿时间:2015-08-17

A Field-Equation Turbulence Model Closed By Lagrange Method
WANG Lu,XU Jiangrong,LIU Baoyin.A Field-Equation Turbulence Model Closed By Lagrange Method[J].Chinese Journal of Computational Physics,2016,33(3):305-310.
Authors:WANG Lu  XU Jiangrong  LIU Baoyin
Institution:1. School of Energy and Power Engineering, Nanjing University of Science and Technology, Nanjing 210094, China;2. Insititute of Energy Science and Engineering, Hangzhou Dianzi University, Hangzhou 310018, China
Abstract:First-order moment equations of hybrid second-order moment model are obtained by Euler method, while second-order moment equations are deduced by Lagrange equations. Equations for particle fraction and momentum are provided firstly. A Lagrange model with mean Langevin equations is obtained and Reynold stress equation is deduced, so that hybrid second-order moment model is closed without additional approximate assumptions. Wall-jet-flow loaded with solid particles is simulated. It shows that the model is effective.
Keywords:field equation model  Euler method  Lagrange method  numerical simulation
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