Lozano-Durán A, Hack M J P, Moin P
Post-doctoral fellow, Center for Turbulence Research, Stanford University. Stanford University, Stanford, CA, 94305.
Franklin P. and Caroline M. Johnson Professor, Department of Mechanical Engineering, Stanford University. Stanford University, Stanford, CA, 94305.
48th AIAA Fluid Dyn Conf 2018 (2018). 2018 Jun 24;2018. doi: 10.2514/6.2018-3698.
We examine the potential of the nonlinear parabolized stability equations (PSE) to provide an accurate yet computationally efficient treatment of the growth of disturbances in H-type transition to turbulence. The PSE capture the nonlinear interactions that eventually induce breakdown to turbulence, and can as such identify the onset of transition without relying on empirical correlations. Since the local PSE solution at the onset of transition is a close approximation of the Navier-Stokes equations, it provides a natural inflow condition for direct numerical simulations (DNS) and large-eddy simulations (LES) by avoiding nonphysical transients. We show that a combined PSE/DNS approach, where the pre-transitional region is modeled by the PSE, can reproduce the skin-friction distribution and downstream turbulent statistics from a DNS of the full domain.
我们研究了非线性抛物化稳定性方程（PSE）在精确且高效地处理H型转捩到湍流过程中扰动增长方面的潜力。PSE捕捉了最终导致转捩到湍流的非线性相互作用，因此能够在不依赖经验关联的情况下识别转捩的起始点。由于转捩起始点处的局部PSE解是纳维-斯托克斯方程的近似解，通过避免非物理瞬态，它为直接数值模拟（DNS）和大涡模拟（LES）提供了自然的流入条件。我们表明，一种将PSE与DNS相结合的方法，其中转捩前区域由PSE建模，可以从全区域的DNS中再现壁面摩擦分布和下游湍流统计量。
