航空学报 > 2023, Vol. 44 Issue (15): 528728-528728   doi: 10.7527/S1000-6893.2023.28728

面向工程湍流的高精度数值方法

王圣业1, 邓小刚1,2(), 董义道1, 王东方1, 蔡佳鸿1   

  1. 1.国防科技大学 空天科学学院,长沙  410073
    2.军事科学院,北京  100083
  • 收稿日期:2023-03-21 修回日期:2023-04-13 接受日期:2023-04-23 出版日期:2023-08-15 发布日期:2023-04-28
  • 通讯作者: 邓小刚 E-mail:xgdeng2000@vip.sina.com
  • 基金资助:
    国家自然科学基金(92252101);青年人才托举工程(2022QNRC001);国家专项工程(GJXM92579)

High-order numerical methods for engineering turbulence simulation

Shengye WANG1, Xiaogang DENG1,2(), Yidao DONG1, Dongfang WANG1, Jiahong CAI1   

  1. 1.College of Aerospace Science and Engineering,National University of Defense Technology,Changsha  410073,China
    2.Academy of Military Sciences,Beijing  100083,China
  • Received:2023-03-21 Revised:2023-04-13 Accepted:2023-04-23 Online:2023-08-15 Published:2023-04-28
  • Contact: Xiaogang DENG E-mail:xgdeng2000@vip.sina.com
  • Supported by:
    National Natural Science Foundation of China(92252101);Young Elite Scientists Sponsorship Program by CAST(2022QNRC001);National Key Project(GJXM92579)

摘要:

高精度数值方法是计算流体力学理论研究中的热门和前沿,现今已逐渐走向工程实用。计算由RANS(Reynolds-Average Naiver-Stokes)方程或混合RANS/LES(Large Eddy Simulation)方程主导的湍流流动是高精度数值方法实现工程应用所面临的一个关键难题,包括数值稳定性、收敛效率、网格质量要求等方面均比单纯Navier-Stokes或Euler方程更为严峻。同时,航空航天、能源动力等领域对湍流分离、转捩、激波/湍流干扰、湍流燃烧等的准确模拟需求迫切,促使新的湍流模拟方法和模型不断涌现,对高精度数值方法的适应性、验证与确认,相关软件的兼容性等提出了挑战。基于此,对面向工程湍流的高精度数值方法发展情况进行了总结,重点包括适用于湍流方程的高精度空间离散格式和时间隐式保正格式、高精度方法框架下湍流模型的演化、工程求解面临的几何/网格问题、尺度分辨模拟时高精度格式与湍流方程的匹配及验证与确认方法,对其面临的挑战和未来发展方向进行了展望。

关键词: 高精度数值方法, 湍流模拟, RANS模型, 混合RANS/LES, 计算流体力学

Abstract:

The high-order numerical method has been a popular frontier topic in computational fluid dynamics. From the embryonic stage in the 1980s to the practical level today, efforts have been made for more than 30 years. In this process, the calculation of turbulent flows dominated by RANS (Reynolds-Average Navier Stokes) or Hybrid RANS/LES (Large Eddy Simulation)equations is a key problem in the engineering application of high-order numerical methods. The numerical stability, convergence efficiency, mesh influence and other aspects involved in RANS are more serious than those in the pure Navier-Stokes or Euler equations. Moreover, there is an urgent need for accurate simulation of turbulence separation, transition, shock/turbulence interference, turbulent combustion, etc. in the fields of aerospace and energy and power. It promotes the continuous emergence of new turbulence models, bringing forward challenges for the adaptability of high-order methods, the compatibility of CFD software, and their verification and validation. This paper summarizes the development of high-order methods for engineering turbulence simulations. The key points include high-order spatial schemes and temporal implicit positive-preserving schemes for turbulence equation, evolution of turbulence models in the framework of the high-order method, geometric/mesh problems in engineering simulations, matching of high-order schemes and turbulence models in scale-resolution simulation as well as methods of verification and validation. Finally, the challenges and future development are prospected.

Key words: high-order numerical method, turbulence simulation, RANS model, hybrid RANS/LES, computational fluid dynamics

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