[1] Brooks T, Pope D, Marcolini M (1989) Airfoil self-noise and prediction. National Aeronautics and Space Administration, Scientific and Technical Information Division.
                                                                                                                [2] Andrepopoulos J, Agui J (1996) Wall vorticity flux dynamics in two dimensional turbulent boundary layer. Fluid Mec A 309: 45-86.
                                                                                                                [3] Kim J (1983) On the structure of wall-bounded turbulent flow. Phys Fluids 26(8): 2088-2097.
                                                                                                                [4] Kim J (1989) On the structure of pressure fluctuations in simulated turbulent channel flow.  Fluid Mec A 205: 421.
                                                                                                                [5] Chang P, Piomelli U, Blake W (1999) Relationship between wall pressure and velocity-field sources. Phys Fluids 11: 3434-3448.
                                                                                                                [6] Kim J, Choi J, Sung H (2002) Relationship between wall-pressure fluctuations and stream wise vortices in a turbulent boundary layer. Phys Fluids 14(2) 898-901.
                                                                                                                [7] فرمانی م، دهقان ع ا، افشاری ع (1398) بررسی عددی اثر روشهای مختلف آشفتهسازی بر مشخصههای جریان لایه مرزی آشفته. بیست و هشتمین همایش سالانه   بینالمللی مهندسی مکانیک ایران ISME2019.
                                                                                                                [8] فرمانی م، دهقان ع ا، افشاری ع (1398) پیشبینی عددی پارامترهای موثر بر نویز لبه فرار جریان لایه مرزی آشفته. نشریه مهندسی مکانیک امیرکبیر.
                                                                                                                [9] Ghaemi S, Scarano F (2013) Turbulent structure at high-amplitude pressure peaks with in the turbulent boundary layer. Fluid Mec A 735: 381-426.
                                                                                                                [10] Blake W (1986) Mechanics of flow induced sound and vibration. Complex flow-structure interactions vol. II, Academic Press, New York.
                                                                                                                [11] Lockard D, Lilley G (2004) The airframe noise reduction challenge. Tech. Rep. NASA/TM-2004-213013, NASA Langley Research Center.
                                                                                                                [12] Oerlemans S, Fisher M, Maeder T, Kogler K (2009) Reduction of wind turbine noise using optimized airfoils and trailing-edge serrations. AIAA J 47(6):1470-1481.
                                                                                                                [13] Lighthill MJ (1952) On sound generated aerodynamically, general theory. Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences 211(1107): 564-587.
                                                                                                                [14] Moreau S, Christophe J Roger M (2008) LES of the trailing-edge flow and noise of a NACA0012 airfoil near stall. Center of Turbulence Research,  Proceedings of the Summer program 317-329.
                                                                                                                [15] Lin Y, Savill M, Rao Vadlamani N, Jefferson-Loveday R (2013) Wall-resolved large eddy simulation over NACA0012 airfoil. Int Aeros Sci Tech 2(4): 149-162.
                                                                                                                [16] Greschner B, Zheng S, Wang J, Thiele F (2005) Knowledge based airfoil aerodynamic and aeroacoustic design. AIAA J. DOI:10.2514/6.2005-2968.
                                                                                                                [17] Afshari A., Azarpeyvand M., Dehghan A. A. (2017) Effects of streamwise surface Treatments on Traveling edge Noise Reduction. AIAA J. DOI: 10.2514/6.2017-3499.
                                                                                                                [18] Spaling D. (1961) A single formula for the Law of the  wall. Appl Mech Mater 28(3): 455-458.
                                                                                                                [19] Afshari A, Azarpeyvand M, Dehghan AA, Szoke M, Maryami R (2019) Trailing edge flow minipulation using streamwise finlets. Fluid Mec A 870: 617-650.
                                                                                                                [20] Coles D (1956) The law of the wake in the turbulanent boundry layer. Fluid Mec A 1(2): 191-226.
                                                                                                                ]21[ فرمانی م، دهقان ع ا، افشاری ع (1398) بررسی عددی مدلهای مختلف مرز ورودی بر مشخصههای جریان لایه مرزی آشفته با رهیافت شبیهسازی گردابههای بزرگ. مجله مکانیک سازهها و شارهها 274-261 :(3)9.
                                                                                                                [22] Sagrado AG, Hynes T (2011) Wall-pressure sources near an airfoil trailing edge under separated laminar boundry layers. AIAA J 49(9): 1841-1856.
                                                                                                                [23] FowcsWilliams KE, Howkings Hall L (1970) Aerodynamic sound generation by turbulent flow in vicinity of a scattering half plane. Fluid Mec A 40(04): 457-670.
                                                                                                                [24] Ducros F, Nicoud F, Poinsot T (1998) Wall-adapting local eddy-viscousity model for simulations in coplex geometries. CERFACS, 42, Avenue Gaspard Coriolis, 31057 Toulouse Cedex, France.
                                                                                                                [25] Ma J, Wang F, Tang X (2008) Comparison of several subgrid-scale models for large-eddy simulation of turbulent flows in water turbine. The 4th Internatinal Symposium on Fluid Machinery and Fluid Engineering.
                                                                                                                [26] Batchelor GK (1967) An Introduction to fluid dynamics. Cambridge Univ.Press. Cambridge, England.
                                                                                                                [27] Hinze JO (1975) Turbulence. McGraw-Hill, New York.
                                                                                                                [28] Erlebacher G, Hussaini MY, Speziale CG, Zang TA (1992) Toward the large-eddy simulation of compressible turbulent flows. Fluid Mec A 238: 155-185
                                                                                                                [29] Smagorinsky J (1963) General circulation experiments with the primitive equations. I. The basic experiment. Month Wea Rev 91: 99-164.