[1] 符松, 王亮. 湍流转捩模式研究进展[J]. 力学进展, 2007, 37(3):409-416. FU S, WANG L. Progress in turbulence/transition modelling[J]. Advances in Mechanics, 2007, 37(3):409-416(in Chinese).
[2] 周恒. 关于转捩和湍流的研究[C]//2003空气动力学前沿研究论文集. 北京:中国空气动力学会, 2003:87-93. ZHOU H. Studies on transition and turbulence[C]//2003 Advanced Research Papers on Aerodynamics. Beijing:Aerodynamic Society of China, 2003:87-93(in Chinese).
[3] FASEL H F, MEITZ H L, BACHAN C R. DNS and LES for investigating transition and transition control:AIAA-1997-1820[R]. Reston:AIAA,1997.
[4] SCHLATTER S. Assessment of direct numerical simulation data of turbulent boundary layers[J]. Journal of Fluid Mechanics, 2010, 659:116-126.
[5] BRAZELL M J, KIRBY A, STOELLINGER M, et al. Using LES in a Discontinuous Galerkin method with constant and dynamic SGS models:AIAA-2015-0060[R]. Reston:AIAA, 2015.
[6] 陈奕, 高正红. Gamma-Theta转捩模型在绕翼型流动问题中的应用[J]. 空气动力学学报, 2009, 27(4):411-419. CHEN Y, GAO Z H. Application of Gamma-Theta transition model to flows around airfoils[J]. Acta Aerodynamic Sinica, 2009, 27(4):411-419(in Chinese).
[7] MENTER F R, LANGTRY R B, LIKKI S R, et al. A correlation-based transition model using local variables-Part I:model formulation[J]. Journal of Turbomachinery, 2006, 128(3):413-422.
[8] GRABE C, KRUMBEIN A. Extension of the γ-Reθt model for prediction of crossflow transition:AIAA-2014-1269[R]. Reston:AIAA, 2014.
[9] 符松, 王亮. 基于雷诺平均方法的高超音速边界层转捩模拟[J]. 中国科学:G辑, 2009, 39(4):617-626. FU S, WANG L. Modelling flow transition in a hypersonic boundary layer with Reynolds-averaged Navier-Stokes approach[J]. Science in China:Series G, 2009, 39(4):617-626(in Chinese).
[10] STOCK H W, HAASE W. Navier-Stokes airfoil computations with eN transition prediction including transitional flow regions[J]. Journal of Aircraft, 2000, 38(11):2059-2066.
[11] 张坤, 宋文萍. NS方程计算中耦合转捩自动判断的阻力精确计算方法初探[J]. 空气动力学学报, 2009, 27(4):400-404. ZHANG K, SONG W P. Accurate drag calculation by coupling automatic prediction of transition point to the Navier-Stokes method[J]. Acta Aerodynamic Sinica, 2009, 27(4):400-404(in Chinese).
[12] KRUMBEIN A, KRIMMELBEIN N, SEYFERT C. Automatic transition prediction in unsteady airfoil flows using an unstructured CFD code:AIAA-2011-3365[R]. Reston:AIAA, 2011.
[13] RADESPIEL R, WINDTE J, SCHOLZ U. Numerical and experimental flow analysis of moving airfoils with laminar separation bubbles[J]. AIAA Journal, 2007, 45(6):1346-1356.
[14] WINDTE J, RADESPIEL R. Propulsive efficiency of a moving airfoil at transitional low Reynolds numbers[J]. AIAA Journal, 2008, 46(9):2165-2177.
[15] 刘方良. 低雷诺数翼型流动转捩判断与优化设计方法[D]. 西安:西北工业大学, 2014:33-67. LIU F L. Transition prediction and optimization design method for low-Reynolds-number airfoil[D]. Xi'an:Northwestern Polytechnical University, 2014:33-67(in Chinese).
[16] HERBERT T. Parabolized stability equations[J]. Annual Review of Fluid Mechanics, 1997, 291(1):245-283.
[17] BERTOLOTTI F P, HERBERT T. Analysis of the linear stability of compressible boundary layers using the PSE[J].Theoretical and Computational Fluid Dynamics, 1991, 3(2):117-124.
[18] NOACK B R, MORZYNSKI M, TADMOR G. Reduced-order modelling for flow control[M]. Udine:CISM, 2011:77-110.
[19] CHATTERJEE A. An introduction to the proper orthogonal decomposition[J]. Computational Science, 2000, 78(7):808-807.
[20] SIROVICH L. Turbulence and the dynamics of coherent structures[J]. Quarterly of Applied Mathematics, 1987, 45(3):561-590.
[21] BERKOOZ G, HOLMES P, LUMLEY J L. The proper orthogonal decomposition in the analysis of turbulent flows[J]. Annual Review of Fluid Mechanics, 1993, 25(1):539-575.
[22] SCHMID P J. Dynamic mode decomposition of numerical and experimental data[J]. Journal of Fluid Mechanics, 2010, 656:5-28.
[23] ROWLEY C, MEZIC I, BAGHERI S, et al. Spectral analysis of nonlinear flows[J]. Journal of Fluid Mechanics, 2009, 641:115-127.
[24] SCHMID P J, LI L, JUNIPER M, et al. Applications of the dynamic mode decomposition[J]. Theoretical and Computational Fluid Dynamics, 2011, 25(1-4):249-259.
[25] SCHMID P J. Application of the dynamic mode decomposition to experimental data[J]. Experiments in Fluids, 2011, 50(4):1123-1130.
[26] SOMERS D M. Design and experimental results for a natural-laminar-flow airfoil for general aviation applications:NASA-TP-1861[R]. Washington, D.C.:NASA, 1981.
[27] SOMERS D M. Design and experimental results for the S809 airfoil:NREL/SR-440-6918[R]. Colorado:NREL, 1997.
[28] 张坤. 基于NS方程的机翼边界层转捩判断及应用研究[D]. 西安:西北工业大学, 2011:97-157. ZHANG K. Automatic transition prediction and application to 3D swept wings[D]. Xi'an:Northwestern Polytechnical University, 2011:97-157(in Chinese). |