Direct numerical simulation (DNS) of a fully developed turbulent channel flow for various Reynolds numbers has been carried out to investigate the Reynolds number dependence. The Reynolds number is set to be 395, and 640, where is the Reynolds number based on the friction velocity and the channel half width. The computation has been executed with the use of the finite difference method. Various turbulence statistics such as turbulence intensities, vorticity fluctuations, Reynolds stresses, their budget terms, two-point correlation coefficients, and energy spectra are obtained and discussed. The present results are compared with the ones of the DNSs for the turbulent boundary layer and the plane turbulent Poiseuille flow and the experiments for the channel flow. The closure models are also tested using the present results for the dissipation rate of the Reynolds normal stresses. In addition, the instantaneous flow field is visualized in order to examine the Reynolds number dependence for the quasi-coherent structures such as the vortices and streaks.
Issue Section:
Technical Papers
1.
Orszag
, S. A.
, and Patterson
, G. S.
, 1972
, “Numerical simulation of three-dimensional homogeneous isotropic turbulence
,” Phys. Rev. Lett.
, 28
, pp. 76
–79
.2.
Kim
, J.
, Moin
, P.
, and Moser
, R.
, 1987
, “Turbulence statistics in fully developed turbulent channel flow at low Reynolds number
,” J. Fluid Mech.
, 177
, pp. 133
–166
.3.
Kuroda, A., Kasagi, N., and Hirata, M., 1989, “A direct numerical simulation of the fully developed turbulent channel flow at a very low Reynolds number,” Int. Symp. Computational Fluid Dynamics, Nagoya, pp. 1174–1179.
4.
Kasagi
, N.
, Tomita
, Y.
, and Kuroda
, A.
, 1992
, “Direct numerical simulation of passive scalar field in a turbulent channel flow
,” ASME J. Heat Transfer
, 114
, pp. 598
–606
.5.
Kim, J., Moin, P., and Moser, R., 1990, The Diskette of Collaborative Testing of Turbulence Models, Bradshaw, P., ed., Stanford University.
6.
Antonia
, R. A.
, and Kim
, J.
, 1994
, “Low-Reynolds-number effects on near-wall turbulence
,” J. Fluid Mech.
, 276
, pp. 61
–80
.7.
Kawamura
, H.
, Ohsaka
, K.
, Abe
, H.
, and Yamamoto
, K.
, 1998
, “DNS of turbulent heat transfer in channel flow with low to medium-high Prandtl number fluid
,” Int. J. Heat and Fluid Flow
, 19
, pp. 482
–491
.8.
Kawamura
, H.
, Abe
, H.
, and Matsuo
, Y.
, 1999
, “DNS of turbulent heat transfer in channel flow with respect to Reynolds and Prandtl number effects
,” Int. J. Heat and Fluid Flow
, 20
, pp. 196
–207
.9.
Kawamura, H., 1998, “Direct numerical simulation of turbulence by parallel computation,” Proc. 10th Int. Conf. Parallel CFD, pp. 19–21.
10.
Kawamura, H., Abe, H., and Matsuo, Y., 1999, “Direct numerical simulation of turbulence by parallel computation,” Parallel Computational Fluid Dynamics, Lin et al., eds., North-Holland, Amsterdam, pp. 3–9.
11.
Moser
, R. D.
, Kim
, J.
, and Mansour
, N. N.
, 1999
, “Direct numerical simulation of turbulent channel flow up to Reτ=590,
” Phys. Fluids
, 11
, pp. 943
–945
.12.
Laufer, J., 1951, “Investigation of turbulent flow in a two-dimensional channel,” NACA Rept., Vol. 1053, pp. 1247–1266.
13.
Hussain
, A. K. M. F
, and Reynolds
, W. C.
, 1975
, “Measurements in fully developed turbulent channel flow
,” ASME J. Fluids Eng.
, 97
, pp. 568
–580
.14.
Kreplin
, H. P.
, and Eckelmann
, H.
, 1979
, “Behavior of the three fluctuating velocity components in the wall region of a turbulent channel flow
,” Phys. Fluids
, 22
, pp. 1233
–1239
.15.
Johansson
, A. V.
, and Alfredsson
, P. H.
, 1982
, “On the structure of turbulent channel flow
,” J. Fluid Mech.
, 122
, pp. 295
–314
.16.
Wei
, T.
, and Willmarth
, W. W.
, 1989
, “Reynolds-number effects on the structure of a turbulent channel flow
,” J. Fluid Mech.
, 204
, pp. 57
–95
.17.
Antonia
, R. A.
, Teitel
, M.
, Kim
, J.
, and Browne
, L. W.
, 1992
, “Low-Reynolds-number effects in a fully developed turbulent channel flow
,” J. Fluid Mech.
, 236
, pp. 579
–605
.18.
Nishino, K., and Kasagi, N., 1989, “Turbulence statistics measurement in a two-dimensional channel flow using a three-dimensional particle tracking velocimeter,” Proc. 7th Turbulent Shear Flows, Vol. 2, pp. 22.1.1–22.1.6.
19.
Nishino, K., and Kasagi, N., 1991, “On the quasi-coherent turbulence structures in the two-dimensional channel flow,” Proc. 8th Turbulent Shear Flows, Vol. 2, pp. 28.3.1–28.3.6.
20.
Moin
, P.
, and Kim
, J.
, 1982
, “Numerical investigation of turbulent channel flow
,” J. Fluid Mech.
, 118
, pp. 341
–377
.21.
Jime´nez, J., 1998, “The largest scales of turbulent wall flows,” Center for Turbulence Research Annual Research Briefs, pp. 137–154.
22.
Dukowics
, J. K.
, and Dvinsky
, A. S.
, 1992
, “Approximate factorization as a high order splitting for the implicit incompressible flow equations
,” J. Comput. Phys.
, 102
, pp. 336
–347
.23.
Rai
, M. M.
, and Moin
, P.
, 1991
, “Direct simulation of turbulent flow using finite-difference schemes
,” J. Comput. Phys.
, 96
, pp. 15
–53
.24.
Rai
, M. M.
, and Moin
, P.
, 1993
, “Direct numerical simulation of transition and turbulence in a spatially evolving boundary layer
,” J. Comput. Phys.
, 109
, pp. 169
–192
.25.
Gavrilakis
, S.
, 1992
, “Numerical simulation of low-Reynolds-number turbulent flow through a straight square duct
,” J. Fluid Mech.
, 244
, pp. 101
–129
.26.
Kawamura, H., 1994, “Direct numerical simulation of turbulence by finite difference scheme,” The Recent Developments in Turbulence Research, Z. S. Zhang and Y. Miyake, eds. International Academic Publishers, pp. 54–60.
27.
Suzuki
, T.
, and Kawamura
, H.
, 1994
, “Consistency of finite-difference scheme in direct numerical simulation of turbulence (in Japanese)
,” Trans. JSME
, 60
–578B, pp. 3280
–3286
.28.
Schumann
, U.
, 1975
, “Subgrid scale model for finite difference simulations of turbulent flows in plane channels and annuli
,” J. Comput. Phys.
, 18
, pp. 376
–404
.29.
Kajishima
, T.
, 1994
, “Conservation properties of finite difference method for convection (in Japanese)
,” Trans. JSME
, 60
–574B, pp. 2058
–2063
.30.
Morinishi, Y., 1995, “Conservative properties of finite difference scheme for incompressible flow,” Center for Turbulence Research Annual Research Briefs, pp. 121–132.
31.
Spalart
, P. R.
, 1988
, “Direct simulation of a turbulent boundary layer up to Rθ=1410,
” J. Fluid Mech.
, 187
, pp. 61
–98
.32.
Dean
, R. B.
, 1978
, “Reynolds number dependence of skin friction and other bulk flow variables in two-dimensional rectangular duct flow
,” ASME J. Fluids Eng.
, 100
, pp. 215
–222
.33.
Alfredsson
, P. H.
, and Johansson
, A. V.
, 1988
, “The fluctuating wall-shear stress and the velocity field in the viscous sublayer
,” Phys. Fluids
, 31
, pp. 1026
–1033
.34.
Komminaho
, J.
, Lundbladh
, A.
, and Johansson
, A. V.
, 1996
, “Very large structures in plane turbulent Couette flow
,” J. Fluid Mech.
, 320
, pp. 259
–285
.35.
Saddoughi
, S. G.
, and Veeravalli
, S. V.
, 1994
, “Local isotropy in turbulent boundary layers at high Reynolds number
,” J. Fluid Mech.
, 268
, pp. 333
–372
.36.
Tennekes, H., and Lumley, J. L., 1972, A First Course in Turbulence, MIT Press, Cambridge, MA.
37.
Mansour
, N. N.
, Kim
, J.
, and Moin
, P.
, 1988
, “Reynolds-stress and dissipation-rate budgets in a turbulent channel flow
,” J. Fluid Mech.
, 194
, pp. 15
–44
.38.
Launder
, B. E.
, and Reynolds
, W. C.
, 1983
, “Asymptotic near-wall stress dissipation rates in a turbulent flow
,” Phys. Fluids
, 26
, p. 1157
1157
.39.
Antonia
, R. A.
, Djenidi
, L.
, and Spalart
, P. R.
, 1994
, “Anisotropy of the dissipation tensor in a turbulent boundary layer
,” Phys. Fluids
, 6
, pp. 2475
–2479
.40.
Chong
, M. S.
, Perry
, A. E.
, and Cantwell
, B. J.
, 1990
, “A general classification of three-dimensional flow fields
,” Phys. Fluids A
, 4
, pp. 765
–777
.41.
Kim
, J.
, 1989
, “On the structure of pressure fluctuations in simulated turbulent channel flow
,” J. Fluid Mech.
, 205
, pp. 421
–451
.42.
Robinson, S. K., 1991, “The kinematics of turbulent boundary layer structure,” NASA TM, 103859.
Copyright © 2001
by ASME
You do not currently have access to this content.
