湍流混合层流动的离散涡数值模拟

Simulation of Turbulent Mixing Layer Flow by Vortex Method

利用离散涡方法模拟湍流混合层流动,采用随机走步法考虑黏性并引入涡片表示固体边界的作用.平均速度与湍流参数的数值模拟结果与实验值吻合较好,验证了所提模型的有效性.结果显示沿流向:平均速度梯度降低;雷诺剪应力峰值呈增大趋势,但由于涡元的配对使得峰值出现了波动而没有单调增大;涡量峰值单调减小.在此基础上进一步研究了同一速比下雷诺数对湍流参数分布的影响规律,发现沿流向雷诺应力的峰值均以相似的斜率逐渐增大;平均涡量峰值递减,衰减速度随着雷诺数的增加而加快;同一截面上涡量峰值与雷诺数几乎成线性关系递增.

Turbulent mixing layer flow was simulated by the discrete vortex method, and viscosity was modeled by the random walk method and the solid wall was represented by the vortex sheet in the simulation. The predictions of the profiles of mean velocity and turbulent flow parameters agree well with experimental data. The results show that the peak value of Reynolds shear stress increases but the fluctuations of the peak value occur because of vortex-pairing, and vorticity peak value increases in the downstream direction. Then the effect of Reynolds number on the distribution of the turbulent flow parameters at the same velocity ratio was explored. It seems that the peak values of Reynolds shear stress under different Reynolds numbers will increase at the similar slope in the downstream direction. The average vorticity peak value will decrease in the downstream direction, and the decrease rate will increase with Reynolds number. In addition, the vorticity peak value in each section will increase nearly linearly with Reynolds number.