用Lattice Boltzmann方法模拟1/4圆腔内的定常层流运动

计算物理 ›› 2008, Vol. 25 ›› Issue (1): 83-86.

用Lattice Boltzmann方法模拟1/4圆腔内的定常层流运动

施卫平¹

1. 吉林大学数学科学学院, 吉林长春 130012;
2. School of the Built Environment, The University of Nottingham, Nottingham, NG7 2RD, UK

收稿日期:2006-09-04 修回日期:2007-01-20 出版日期:2008-01-25 发布日期:2008-01-25
作者简介:施卫平(1963-),男,吉林长春,教授,博士,博士生导师,从事计算流体力学和计算数学方面的研究.
基金资助:
科技部国际科技合作重点项目(2005DFA00850);国家自然科学基金(批准号10471054);UK Royal Society International Project(under Ref15127)资助项目

Simulation of Steady Laminar Flow Within a Quarter-circular Cavity by Lattice Boltzmann Method

SHI Weiping¹, ZU Yingqing², YAN Yuying²

1. School of Mathematics, Jilin University, Changchun 130012, China;
2. School of the Built Environment, University of Nottingham, Nottingham NG7 2RD, UK

Received:2006-09-04 Revised:2007-01-20 Online:2008-01-25 Published:2008-01-25

摘要/Abstract

摘要： 分析格子Boltzmann方法中二阶精度的曲线边界处理方法.应用格子Boltzmann方法及其边界处理方法模拟1/4圆腔内的定常层流运动,引入流线图和等涡线图分析流场随Re数的变化.并且发现当Re数在10~100区间内变化时,随着Re数的增大,顺时针旋转流场的涡心位置偏离x轴的角度逐渐减小,而逆时针旋转流场的涡心位置偏离x轴的角度却越来越大.

关键词: Lattice Boltzmann方法, 曲线边界处理, 涡心, 1/4圆腔流

Abstract: A numerical scheme based on lattice Boltzman method(LBM) is presented to deal with curved boundaries with second-order accuracy. The scheme is applied to steady laminar flow within a quarter-circular cavity with curved boundaries and proved to be relatively reliable, accurate and feasible. Streamlines and vorticity contours are obtained to analyse the variation of flow field with Reynolds number. The radian between verticity centre of clockwise flow and x-axis decreases with increase of Re from 10 to 100, while the radian between verticity centre of anticlockwise flow and the x-axis shows inverse tendency.

Key words: lattice Boltzmann method, curved boundary, verticity centre, flow within a quarter-circular cavity

中图分类号:

O357.1

施卫平. 用Lattice Boltzmann方法模拟1/4圆腔内的定常层流运动[J]. 计算物理, 2008, 25(1): 83-86.

SHI Weiping, ZU Yingqing, YAN Yuying. Simulation of Steady Laminar Flow Within a Quarter-circular Cavity by Lattice Boltzmann Method[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2008, 25(1): 83-86.