论文标题
在过渡边界层中速度梯度张量的演变
On the evolution of the velocity gradient tensor in transitional boundary layers
论文作者
论文摘要
我们从速度梯度张量动力学的角度研究了湍流的过渡。正如涡流标识符（例如Q-Criterion）所揭示的那样，我们的工作是由对过渡过程中出现的非线性结构的观察到的动机。为此，我们基于速度梯度张量的几个不变式得出了传输方程，以获得从层流到湍流的不同阶段的整体预算。我们还讨论了哪些数量在我们的研究中最合适，同时牢记未来建模应用的潜力。
We study the transition to turbulence from the perspective of the velocity gradient tensor dynamics. Our work is motivated by the observation of nonlinear structures emerging during transition, as revealed by vortex identifiers such as the Q-criterion. To that end, we have derived transport equations based on several invariants of the velocity gradient tensor to obtain integral budgets spanning the different stages of transition from laminar to turbulent flow. We have also discussed which quantity would be the most appropriate in our study, while keeping in mind the potential for future modeling applications.
