Exact compressible transport equation for the unresolved stresses and PANS-RSM simulation of transonic buffet

IF 5 1区工程技术 Q1 ENGINEERING, AEROSPACE Aerospace Science and Technology Pub Date : 2024-09-30 DOI:10.1016/j.ast.2024.109630

V. Bonnifet, G.A. Gerolymos, I. Vallet

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Abstract

The exact compressible-flow tensorial transport-equations for the unresolved stresses of the density-weighted filtered (Favre) velocity field are reformulated without using mixed Favre-Reynolds central moments. The exact equation for the dissipation-rate of the unresolved turbulent-kinetic-energy is derived for constant density-flow and extended to compressible flows invoking Morkovin's hypothesis. The term-by-term correspondence of the transport equations for the unresolved stresses and dissipation-rate with the corresponding exact transport equations for the Reynolds stresses and turbulence-kinetic-energy dissipation-rate is exploited to derive the closure for the subgrid-scales (SGS) equations by applying the partially averaged Navier-Stokes (PANS) framework to an underlying Reynolds-stress model (RSM). The paper assesses the prediction of transonic buffet on the OAT15A supercritical airfoil using a PANS–RSM approach. Experimental data for transonic buffet flow around the supercritical OAT15A airfoil are compared with computations, using both PANS-RSM and Reynolds averaged Navier-Stokes (RANS-RSM), demonstrating the potential of PANS–RSM to predict the low-frequency self-sustained shock-wave oscillations.

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未解决应力的精确可压缩传输方程和跨声速缓冲的 PANS-RSM 模拟

在不使用费弗尔-雷诺兹混合中心矩的情况下，对密度加权滤波（费弗尔）速度场未解决应力的可压缩流动张量传输精确方程进行了重新表述。针对恒定密度流，推导出了未解决湍流动能耗散率的精确方程，并援引莫尔科文假设将其扩展到可压缩流。通过将部分平均纳维-斯托克斯（PANS）框架应用于底层雷诺应力模型（RSM），利用未解决应力和耗散率输运方程与相应的雷诺应力和湍流动能耗散率精确输运方程的逐项对应关系，推导出子网格尺度（SGS）方程的闭合。本文采用 PANS-RSM 方法评估了 OAT15A 超临界机翼上的跨音速缓冲预测。将超临界 OAT15A 机翼周围跨音速缓冲流的实验数据与使用 PANS-RSM 和雷诺平均纳维-斯托克斯（RANS-RSM）的计算结果进行了比较，证明了 PANS-RSM 预测低频自持冲击波振荡的潜力。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Aerospace Science and Technology 工程技术-工程：宇航

CiteScore

10.30

自引率

28.60%

发文量

654

审稿时长

54 days

期刊介绍： Aerospace Science and Technology publishes articles of outstanding scientific quality. Each article is reviewed by two referees. The journal welcomes papers from a wide range of countries. This journal publishes original papers, review articles and short communications related to all fields of aerospace research, fundamental and applied, potential applications of which are clearly related to: • The design and the manufacture of aircraft, helicopters, missiles, launchers and satellites • The control of their environment • The study of various systems they are involved in, as supports or as targets. Authors are invited to submit papers on new advances in the following topics to aerospace applications: • Fluid dynamics • Energetics and propulsion • Materials and structures • Flight mechanics • Navigation, guidance and control • Acoustics • Optics • Electromagnetism and radar • Signal and image processing • Information processing • Data fusion • Decision aid • Human behaviour • Robotics and intelligent systems • Complex system engineering. Etc.