基于Lagrange方法封闭的两相湍流场方程模型

计算物理 ›› 2016, Vol. 33 ›› Issue (3): 305-310.

基于Lagrange方法封闭的两相湍流场方程模型

王路¹, 徐江荣^1,2, 刘保银²

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

收稿日期:2015-04-08 修回日期:2015-08-17 出版日期:2016-05-25 发布日期:2016-05-25
通讯作者: 徐江荣,E-mail:Jrxu@hdu.edu.cn
作者简介:王路(1987-),男,博士生,从事计算流体力学研究,E-mail:i_wanglu@163.com
基金资助:
国家自然科学基金(51176044)和浙江省自然科学基金(Y1110620)资助项目

A Field-Equation Turbulence Model Closed By Lagrange Method

WANG Lu¹, XU Jiangrong^1,2, LIU Baoyin²

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

Received:2015-04-08 Revised:2015-08-17 Online:2016-05-25 Published:2016-05-25

摘要/Abstract

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

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.

Key words: field equation model, Euler method, Lagrange method, numerical simulation

中图分类号:

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.

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.

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