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Improvement of Baldwin-Lomax turbulence model for supersonic complex flows
作者姓名:Zhao Rui  Yan Chao  Yu Jian  Li Xinliang
作者单位:School of Aeronautic Science and Engineering, Beihang University;Key Laboratory of High Temperature Gas Dynamics, Chinese Academy of Sciences
基金项目:This study was co-supported by National Basic Research Program of China,the Innovation Foundation of BUAA for Ph.D.Graduates,the Academic New Artist Award of BUAA for Ph.D.Graduates
摘    要:Entropy represents the dissipation rate of energy. Through direct numerical simulation (DNS) of supersonic compression ramp flow, we find the value of entropy is monotonously decreasing along the wall-normal direction no matter in the attached or the separated region. Based on this feature, a new version of Baldwin-Lomax turbulence model (BL-entropy) is proposed in this paper. The supersonic compression ramp and cavity-ramp flows in which the original Baldwin-Lomax model fails to get convergent solutions are chosen to evaluate the performance of this model. Results from one-equation Spalart-Allmaras model (SA) and two-equation Wilcox k-x model are also included to compare with available experimental and DNS data. It is shown that BLentropy could conquer the essential deficiency of the original version by providing a more physically meaningful length scale in the complex flows. Moreover, this method is simple, computationally efficient and general, making it applicable to other models related with the supersonic boundary layer.

关 键 词:Baldwin–Lomax  model  Boundary  layers  Computational  aerodynamics  Entropy  Supersonic  flows  Turbulence  models
收稿时间:9 January 2012

Improvement of Baldwin-Lomax turbulence model for supersonic complex flows
Zhao Rui,Yan Chao,Yu Jian,Li Xinliang.Improvement of Baldwin-Lomax turbulence model for supersonic complex flows[J].Chinese Journal of Aeronautics,2013,26(3):529-534.
Authors:, Zhao Rui , Yan Chao , Yu Jian , Li Xinliang
Institution:1. School of Aeronautic Science and Engineering, Beihang University, Beijing 100191, China
2. Key Laboratory of High Temperature Gas Dynamics, Chinese Academy of Sciences, Beijing 100190, China
Abstract:Entropy represents the dissipation rate of energy. Through direct numerical simulation (DNS) of supersonic compression ramp flow, we find the value of entropy is monotonously decreasing along the wall-normal direction no matter in the attached or the separated region. Based on this feature, a new version of Baldwin–Lomax turbulence model (BL-entropy) is proposed in this paper. The supersonic compression ramp and cavity-ramp flows in which the original Baldwin–Lomax model fails to get convergent solutions are chosen to evaluate the performance of this model. Results from one-equation Spalart–Allmaras model (SA) and two-equation Wilcox kω model are also included to compare with available experimental and DNS data. It is shown that BL-entropy could conquer the essential deficiency of the original version by providing a more physically meaningful length scale in the complex flows. Moreover, this method is simple, computationally efficient and general, making it applicable to other models related with the supersonic boundary layer.
Keywords:Baldwin-Lomax model  Boundary layers  Computational aerodynamics  Entropy  Supersonic flows  Turbulence models
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