面向工程湍流的高精度数值方法

doi:10.7527/S1000-6893.2023.28728

Abstract

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

CLC Number:

V211.3

Shengye WANG, Xiaogang DENG, Yidao DONG, Dongfang WANG, Jiahong CAI. High-order numerical methods for engineering turbulence simulation[J]. Acta Aeronautica et Astronautica Sinica, 2023, 44(15): 528728-528728.

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Steger-Warming^［64］	van Leer^［63］	Roe^［58］	HLLC^［60］
√	√	×	×
HLL^［60］	AUSM^+［61］	AUSMup^+［62］	CUSP^［59］
√	×	×	×

一方程	两方程	七方程
Sparlart和Allmaras^［3］	Huang和Coakely^［70］	Chassaing等^［79］
	Batten等^［73］	Chaouat^［80］
	Merkle等^［74］	Mor-Yossef^［81］
	Merci等^［75］
	Mor-Yossef和Levy^［77］

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High-order numerical methods for engineering turbulence simulation

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