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Cost-effective and high-fidelity method for turbulent transition in compressible boundary layer

机译：可压缩边界层湍流过渡的成本效益和高保真方法

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摘要

An efficient high-fidelity simulation approach is investigated for laminar-to-turbulent transition in compressible boundary layer flow. This approach combines large-eddy simulation (LES) with the parabolized stability equations (PSE) analysis. LES is chosen for high-fidelity simulation of the transitional flow, whereas the PSE analysis is used for an efficient treatment of instability modes in the flow. Instability modes from the PSE analysis are assigned as forcing at the inlet of the LES computational domain. A framework of LES combined with PSE (PSE+LES) for the turbulent transition is demonstrated in supersonic boundary layer flow at Mach 3. Complete transition to turbulence via oblique-mode breakdown is well resolved in the current study. Detailed flow features associated with the turbulent transition are compared well with previous direct-numerical simulation (DNS) studies, including the growth of instability modes in the pre-transition regime, the transition range shown in the evolution of the skin friction, and the turbulent boundary layer. It is shown that the current PSE+LES approach can reduce the computational cost by two orders of magnitude, compared to the relevant DNS cost. The current study for supersonic flow and the authors' previous study for subsonic flow imply that the PSE+LES approach can be used in boundary layer flows at various speeds. (C) 2020 Elsevier Masson SAS. All rights reserved.
机译：对可压缩边界层流动中的层状动湍流过渡进行了高效的高保真仿真方法。这种方法将大涡流模拟（LES）与抛抛稳定性方程（PSE）分析结合。选择LES用于过渡流程的高保真仿真，而PSE分析用于流动中有效处理不稳定模式。来自PSE分析的稳定性模式被分配为LES计算域的入口处强制。在Mach 3的超声波边界层流动中证明了LES与PSE（PSE + LES）结合的LES框架。通过倾斜模式击穿完全过渡到湍流，在目前的研究中得到了很好地解决。与湍流转变相关的详细流量特征，与先前的直接数量模拟（DNS）研究进行比较，包括在前过渡前方案中的不稳定模式的生长，在皮肤摩擦的演化中显示的过渡范围，以及湍流边界层。结果表明，与相关的DNS成本相比，当前PSE + LES方法可以通过两个数量级来降低计算成本。目前对超音速流动的研究和作者对子流程的先前研究意味着PSE + LES方法可以以各种速度的边界层流动使用。 （c）2020 Elsevier Masson SAS。版权所有。

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