中文摘要：

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如数的变化．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．

英文摘要：

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.