شبیه سازی مستقیم عددی جریان لایه مرزی دوبُعدی و غیر قابل تراکم با استفاده از روش تفاضل محدود فشرده

[1] F.M. White, Viscous Fluid Flow, 3rd Edition, McGraw-Hill, New York, 2000. [2]  J. Mathieu, J.Scott, An Introduction to Turbulent Flow, Cambridge University Press, 2000.  [3] S.A. Orszag and G.S. Patterson, Numerical simulation of three-dimensional homogeneous isotropic turbulence. Phys. Rev. Lett.,Vol 28, 1972, pp 76–79.  [4] R.S. Rogallo, Numerical experiments in homogeneous turbulence. NASA TM 81315, 1981. [5] John Kim, Parviz Moin, and Robert Moser, Turbulence statistics in fully developed channel flow at low reynolds number. J. of Fluid Mech.,Vol 177, 1987, pp 133 –166. [6] H. kreplin. And H. Eckelmann , Behaviour of the three fluctuating velocity components in the wall region of a turbulent channel flow. Physics of Fluids, Vol 22, 1979, pp 1233-1239. [7] R. Spalart, Direct simulation of a turbulent boundary layer up to Re=1410 J. Fluid Mech.,Vol 187, 1988, pp 61–98. [8] Hung Le, Parviz Moin, and John Kim, Direct numerical simulation of turbulent flow over a backward-facing step. J. of Fluid Mech. Vol 330, 1997, pp 349–374. [9] Yang Na and Parviz Moin,  Direct numerical simulation of turbulent boundary layers with adverse pressure gradient and separation. Rep. 

TF-68, Thermosci. Div., Dept. Mech. Eng., Stanford, 1996. [10] W.J. Feiereisen, W.C. Reynolds, and J.H. Ferziger, Numerical simulation of a compresssible,homogeneous turbulent shear flow. Rep.      TF-13, Thermosci. Div., Dept. Mech. Eng., Stanford, 1981.  [11] W.C. Reynolds, The Potential and Limitations of Direct and Large Eddy Simulations. In J.L. Lumley, editor, Whither Turbulence? Turbulence at the Crossroads, pages, 1990, pp 313-343. Springer, New York. [12] M.J. Maghrebi, A Study of Evolution of Intense Focal Structures in Spatially-Developing Three -Dimensional Planer Wake, PhD thesis, Department of Mechanical Engineering, Monash University, Melbourne, Australia, 1999. [13] RH. Bartles, and G.W. Stewart, Solution of the Matrix Equation AX+XB=C, Communications of the ACM, Vol 15, Number 9, 1972. [14] S.K. Lele, Compact Finite Difference Scheme with Spectral-Like Resolution, Journal of Computational Physics,Vol 103, 1992, pp 1612. [15] A. Wray & M.Y. Hussaini, Numerical Experiments in Boundary Layer Stability, Proc. R. Soc. Lond. A, Vol. 392, 1984, pp 373389.  [16] Howarth, L., On the solution of the Laminar Boundary – Layer Equation, Proceedings of the Royal Society of London , A164, 1983, pp. 547-479   [17] Panton, R.L., Incompressible Flow, Wiley, New York, 1984. [18] H.Schlichting, and K.Gersten, Boundary Layer Theory,  Springer-Verlag, 8th Edition, 2005.