计算物理 ›› 2007, Vol. 24 ›› Issue (6): 688-692.

• 论文 • 上一篇    下一篇

两相壁面射流PDF方程有限分析方法及数值模拟

徐江荣1, 周俊虎2, 岑可法2   

  1. 1. 杭州电子科技大学应用数学与工程计算研究所, 浙江 杭州 310018;
    2. 浙江大学热能工程研究所, 浙江 杭州 310027
  • 收稿日期:2006-05-25 修回日期:2006-08-14 出版日期:2007-11-25 发布日期:2007-11-25
  • 作者简介:徐江荣(1966-),男,浙江富阳,教授,博士,从事流动传热燃烧理论与数值模拟研究
  • 基金资助:
    浙江省自然科学基金(Y105028);教育部跨世纪优秀人才培养计划资助项目

A Finite Analytic Numerical Method in PDF Model for Two-phase Flows and Simulation of Wall Jet Loaded with Solid Particles

XU Jiangrong1, ZHOU Junhu2, CEN Kefa2   

  1. 1. Institute for Applied Mathematic & Engineering Computing, Hangzhou Dianzi University, Hangzhou 310018, China;
    2. Institute for Thermal Power Engineering, Zhejiang University, Hangzhou 310027, China
  • Received:2006-05-25 Revised:2006-08-14 Online:2007-11-25 Published:2007-11-25

摘要: 提出求解位置-速度相空间中高维两相流PDF(probability density function)方程的有限分析方法,将位置-速度相空间颗粒PDF方程约化到速度空间,并解析求解,颗粒的位置PDF用轨道方法求解.对壁面射流两相流动进行数值模拟,并与颗粒雷诺应力轨道方法进行比较计算,结果优于颗粒雷诺应力轨道方法.

关键词: 有限分析法, 两相流动PDF模型, 数值模拟, 随机方程

Abstract: A method is presented to deal with high-dimensional scalar PDF(probability density function) transport equation for two-phase flow in phase space (X, V), in which the PDF transport equation is reduced to velocity phase space.The particle velocity PDF fv(V) is solved analytically and the particle position PDF is obtained statistically with Monte Carlo techniques. It shows that the method is better than the particle Reynolds stress trajectory model(PRST Model) in simulating a turbulent wall jet loaded with solid particles.

Key words: finite analytic method, probaility density function model of two-phase flow, numerical simulation, stochastic process

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