Lagrangian Structure Function's Scaling Exponents in Turbulent Channel Flow
LUO Jian-Ping 1,3, LU Zhi-Ming2, USHIJIMA Tatsuo3, KITOH Osami3, LIU Yu-Lu1,2
1Shanghai Institute of Technology, Shanghai 2002352Shanghai Institute of Applied Mathematics and Mechanics, ShanghaiUniversity, Shanghai 2000723Nagoya Institute of Technology, Gokiso-cho, Showa-ku, Nagoya 466-8555, Japan
Lagrangian Structure Function's Scaling Exponents in Turbulent Channel Flow
LUO Jian-Ping 1,3, LU Zhi-Ming2, USHIJIMA Tatsuo3, KITOH Osami3, LIU Yu-Lu1,2
1Shanghai Institute of Technology, Shanghai 2002352Shanghai Institute of Applied Mathematics and Mechanics, ShanghaiUniversity, Shanghai 2000723Nagoya Institute of Technology, Gokiso-cho, Showa-ku, Nagoya 466-8555, Japan
摘要The Lagrangian structure function's scaling exponents and intermittency of three-dimensional incompressible turbulent channel flow are investigated by using direct numerical simulation. The intermittency in streamwise velocity increments is found to increase in the near-wall region, which can be attributed to the presence of strong mean shear and organized motions in the near-wall region. It is found that the intermittency of transverse velocity increments is weaker than that of longitudinal ones. The present ESS evaluation of ζL(q) for the structure function of the streamwise velocity component in the channel centre is fairly close to experimental estimates of isotropic turbulence.
Abstract:The Lagrangian structure function's scaling exponents and intermittency of three-dimensional incompressible turbulent channel flow are investigated by using direct numerical simulation. The intermittency in streamwise velocity increments is found to increase in the near-wall region, which can be attributed to the presence of strong mean shear and organized motions in the near-wall region. It is found that the intermittency of transverse velocity increments is weaker than that of longitudinal ones. The present ESS evaluation of ζL(q) for the structure function of the streamwise velocity component in the channel centre is fairly close to experimental estimates of isotropic turbulence.
[1] Frisch U 1995 Turbulence (Cambridge: Cambridge University) [2] Kolmogorov A N 1941 Dokl. Akad. Nauk. SSSR 30 301 [3] Novikov E A 1989 Phys. Fluids A 1 326 [4] La Porta A, Voth G A, Crawford A M, Alexander J and Bodenschatz E 2001 Nature 409 1017 [5] Yeung P K 2002 Ann. Rev. Fluid Mech. 34 115 [6] Biferale L, Boffetta G, Celani A, Lanotte A and Toschi F 2005 Phys. Fluids 17 021701 [7] Landau L D and Lifshitz E M 1987 Fluid Mechanics 2nd edn (Oxford: Butterworth-Heinemann) [8] Schmitt F G 2006 Physica A 368 377 [9] Luo J P, Ushijima T, Kitoh O, Lu Z M, Liu Y L and Schmitt F G 2006 Z. Naturforsch 61a 624 [10] Benzi R, Ciliberto S, Tripiccione R, Baudet C, Massaioli F and Succi S 1993 Phys. Rev. E 48 R29 [11] Arneodo A, Baudet C and Belin F et al 1996 Europhys. Lett. 34 411 [12] Antonia R A and Pearson B R 1997 Europhys. Lett. 40 123 [13] Van De Water W and Herweijer J A 1999 J. Fluid Mech. 387 3 [14] Mordant N, L{\'{ev\^{eque E and Pinton J F 2004 New J. Phys. 6 116 [15] Luo J P, Ushijima T, Kitoh O, Lu Z M and Liu Y L 2007 Int. J. Heat Fluid Flow 28 871 [16] Luo J P, Ushijima T and Kitoh O 2006 Chin. Phys. Lett. 23 883 [17] Antonia R A, Oriandi P and Romano G P 1998 Phys. Fluids 10 3239 [18] Amati G, Succi S and Piva R 1999 Fluid Dynamics Res. 24 201 [19] Hu K H and Chen K 2005 Chin. Phys. Lett. 22 3115