中文摘要：

本文采用多弛豫时间格子玻尔兹曼方法（multi relaxation time lattice Boltzmann method—MRT LBM）对二维顶盖驱动半圆腔内流动进行了数值模拟,得到了雷诺数为500～50000范围内半圆腔内流场分布情况。在二维顶盖驱动半圆腔流场中,随雷诺数的增大,流场内旋涡的数目逐渐增加,且流动依次呈现出稳定流、周期流、混沌流等状态。本文计算结果表明,MRT-LBM模型可显著提高计算的稳定性,适用于大范围的雷诺数流动情况。

英文摘要：

The flow pattern in a two-dimensional lid-driven semi-circular cavity is analyzed based on multi relaxation time lattice Boltzmann method（MRT LBM） in this paper.The Reynolds number ranges from 500 to 50000.Numerical results show that,as Re increases,the phenomena in the cavity become more and more complex,and the number of the vortexes increases.Furthermore,as Re is increased,the flow in the cavity undergoes a complex transition（from steady to the periodic flow, and finally to the chaotic flow）.The results demonstrate the superior numerical stability and wildly applicability of MRT model to different Reynolds number flow.