Abstract： A three dimensional fictitious domain method was proposed to perform direct numerical simulation of complex particulate flows efficiently. Based on the fictitious domain point of view, the three dimensional particles were immersed in the background mesh, and the source terms were added to impose rigid body movement constraint of solid particles, incorporating the finite element discretization of background mesh equations. The detail of implementing three dimensional fictitious domain method was discussed and the method was validated. A particle cluster movement problem was solved and the results were illustrated. The results show that the fictitious domain method is proved to be able to handle the moving particles boundary conditions, and is suitable to simulate movements of multi-particle system in sub-particle scale. Detailed velocity and force results are obtained.

Keywords: particulate flows; fictitious domain method; direct numerical simulation; sub-particle scale

中图分类号：TK16        文献标志码：A

文章编号：1008-5548（2014）05-0001-05

DOI:10.13732/j.issn.1008-5548.2014.05.001

收稿日期：2014-04-23， 修回日期：2014-05-22，在线出版时间：2014-10-11。

基金项目：国家自然科学基金项目，编号：51390493， 51076083。

第一作者简介：刘恺（1987—），男，博士研究生，研究方向为颗粒运动与燃烧的直接数值模拟。 E-mail: kai-liu08@mails.tsinghua.edu.cn。

通信作者简介：由长福(1969—)，男，教授，博士生导师，研究方向为煤燃烧及污染防治、多相流动理论、新能源。 E-mail: youcf@tsinghua.edu.cn。