用格子Boltzmann方法计算椭圆柱绕流的阻力  

Lattice Boltzmann Simulation for Drag of Flow Past Elliptic Cylinders

作　　者：郑海成[1] 施卫平[1] 张合金[1] 丁丽霞[1] 

机构地区：[1]吉林大学数学学院,长春130012

出　　处：《吉林大学学报（理学版）》2009年第5期928-932,共5页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:10972089;J0630104)

摘　　要：用格子Boltzmann方法模拟椭圆柱绕流,研究椭圆柱形状对阻力的影响.对圆柱绕流问题进行了数值模拟,阻力系数的数值计算结果与相关文献数值相符.计算了当Re=200,椭圆柱纵轴长度不变、横轴长度逐渐变大时几种不同形状的椭圆柱绕流,并用插值方法处理了曲线边界,用动量转换法计算了曲线边界受力.计算得到了不同形状椭圆柱绕流的流线、涡线以及阻力系数随横轴/纵轴长度比的变化趋势.通过分析流线和涡线的变化,给出了阻力变化的机理.Lattice Bohzmann method was used for the numerical simulation of a flow past an elliptic cylinder. The drag of a flow around elliptic cylinders with various shapes was investigated. Firstly, the classical flow past a circular cylinder was simulated numerically. The drag coffecient of our simulation is consistent with those of other numerically results. Secondly, the flow past an elliptic cylinder with different shapes was computed by fixing the vertical semi axis length and varying the horizontal semi axis length. The numerical interpolation was used for boundary treatment, and momentum exchange method wag employed to evaluate the force on the boundary. The streamlines, vorticity contours and drag were obtained for the flows past the cylinders with different shapes. Finally, we explained the drag mechanism by analyzing the variation of streamlines and vorticity contours.

关 键 词：格子BOLTZMANN 减阻 阻力系数 

分 类 号：O351.2[理学—流体力学]