Akselvoll, K. & Moin, P. 1996 a Large eddy simulation of confined turbulent coaxial jets. J. Fluid Mech. 315, 387–411.
Akselvoll, K. & Moin, P. 1996 b An efficient method for temporal integration of the Navier–Stokes equations in confined axisymmetric geometries. J. Comput. Phys. 125, 454–463.
Bailey, S., Hultmark, M., Smits, A. J. & Schultz, M. 2007 Azimuthal correlation in the outer layer of turbulent pipe flow. Bull. Am. Phys. Soc. 52, 24.
Barenblatt, G. I. & Chorin, A. J. 1998 Scaling of the intermediate region in wall-bounded turbulence: The power law. Phys. Fluids 10, 1043–1044.
Barenblatt, G. I., Chorin, A. J. & Prostokishin, V. M. 1997 Scaling laws for fully developed turbulent flow in pipes. Appl. Mech. Rev. 50, 413–529.
Durst, F., Jovanovic, J. & Sender, J. 1995 LDA measurements in the near-wall region of a turbulent pipe flow. J. Fluid Mech. 295, 305–335. Data available at http://torroja.dmt.upm.es/ftp/AGARD/. Eggels, J. G. M., Unger, F., Weiss, M. H., Westerweel, J., Adrian, R. J., Friedrich, R. & Nieuwstadt, F. T. M.. 1994 Fully developed turbulent pipe flow: A comparison between direct numerical simulation and experiment. J. Fluid Mech. 268, 175–209.
Fukagata, K. & Kasagi, N. 2002 Highly energy-conservative finite difference method for the cylindrical coordinate system. J. Comput. Phys. 181, 478–498.
Guala, M., Hommema, S. E. & Adrian, R. J. 2006 Large-scale and very-large-scale motions in turbulent pipe flow, J. Fluid Mech. 554, 521–542.
Hinze, J. O. 1975 Turbulence. Second edition. McGraw-Hill.
Hoyas, S. & Jiménez, J. 2006 Scaling of the velocity fluctuations in turbulent channels up to Reτ=2003 Phys. Fluids 18, 011702.
Kim, J. & Moin, P. 1985 Application of a fractional-step method to incompressible Navier–Stokes equations. J. Comput. Phys. 59, 308–323.
Kim, K. C. & Adrian, R. J. 1999 Very-large scale motion in the outer layer. Phys. Fluids 11, 417–422.
Lawn, C. J. 1971 The determination of the rate of dissipation in turbulent pipe flow. J. Fluid Mech. 48, 477–505.
Loulou, P., Moser, R. D., Mansour, N. N. & Cantwell, B. J. 1997 Direct numerical simulation of incompressible pipe flow using a B-spline spectral method. NASA Technical Memo. Data available at http://torroja.dmt.upm.es/ftp/AGARD/. McKeon, B. J., Li, J., Jiang, W., Morrison, J. F. & Smits, A. J. 2004 a Further observations on the mean velocity distribution in fully developed pipe flow. J. Fluid Mech. 501, 135–147.
McKeon, B. J., Swanson, C. J., Zagarola, M. V., Donnelly, R. J. & Smits, A. J. 2004 b Friction factors for smooth pipe flow. J. Fluid Mech. 511, 41–44.
Moin, P. & Kim, J. 1982 Numerical investigation of turbulent channel flow. J. Fluid Mech. 118, 341–377.
Morrison, J. F., McKeon, B. J., Jiang, W. & Smits, A. J. 2004 Scaling of the streamwise velocity component in turbulent pipe flow. J. Fluid Mech. 508, 99–131.
Oberlack, M. 2001 A unified approach for symmetries in plane parallel turbulent shear flows. J. Fluid Mech. 427, 299–328.
Orlandi, P. & Fatica, M. 1997 Direct simulations of turbulent flow in a pipe rotating about its axis. J. Fluid Mech. 343, 43–72.
Perry, A. E., Hafez, S. & Chong, M. S. 2001 A possible reinterpretation of the Princeton Superpipe data. J. Fluid Mech. 439, 395–401.
Perry, A. E., Henbest, S. M. & Chong, M. S. 1986 A theoretical and experimental study of wall turbulence. J. Fluid Mech. 165, 163–199.
Pierce, C. D. & Moin, P. 2001 Progress variable approach for large-eddy simulation of turbulent combustion. Repo. TF-80, Stanford University.
Pierce, C. D. & Moin, P. 2004 Progress variable approach for large-eddy simulation of non-premixed turbulent combustion. J. Fluid Mech., 504, 73–97.
Satake, S., Kunugi, T. & Himeno, R. 2000 High Reynolds number computation for turbulent heat transfer in a pipe flow. In Lecture Notes in Computer Science, pp. 514–523. Springer.
Smits, A. J. & Zagarola, M. V. 1998 Response to ‘Scaling of the intermediate region in wall-bounded turbulence: The power law’. Phys. Fluids 10, 1045–1046.
Toonder, J. M. J. & Nieuwstadt, F. T. M. 1997 Reynolds number effects in a turbulent pipe flow for low to moderate Re. Phys. Fluids 9, 3401–3409.
Veenman, M. P. B. 2004 Statistical analysis of turbulent pipe flow: numerical approach. Ph.D. thesis, Eindhoven University of Technology, Faculty of Mechanical Engineering.
Wagner, C., Huttl, T. J. & Friedrich, R. 2001 Low Reynolds number effects derived from direct numerical simulations of turbulent pipe flow. Comput. Fluids 30, 581–590.
Wei, T., Fife, P., Klewicki, J. & McMurtry, P. 2005 Properties of the mean momentum balance in turbulent boundary layer, pipe and channel flows. J. Fluid Mech. 522, 303–327.
Wosnik, W., Castillo, L. & George, W. K. 2000 A theory for turbulent pipe and channel flows. J. Fluid Mech. 421, 115–145.
Wu, X., Schluter, J., Moin, P., Pitsch, H., Iaccarino, G. & Ham, F. 2006 Computational study on the internal layer in a diffuser. J. Fluid Mech. 550, 391–412.
Zagarola, M. V., Perry, A. E. & Smits, A. J. 1997 Log laws or power laws: The scaling in the overlap region. Phys. Fluids 9, 2094–2100.
Zagarola, M. & Smits, A. J. 1998 Mean-flow scaling of turbulent pipe flow. J. Fluid Mech. 373, 33–79.