299
Views
5
CrossRef citations to date
0
Altmetric
Original Articles

POD-based wall boundary conditions for the numerical simulation of turbulent channel flows

&
Pages 145-171 | Received 11 Sep 2013, Accepted 11 Jan 2014, Published online: 07 Feb 2014

References

  • J.O. Hinze,Turbulence, McGraw-Hill, New York, NY, 1976.
  • M. Gad el Hak and M.H. Buschmann, Turbulent boundary layers: Is the wall falling or merely wobbling? Acta Mech. 218 (2011), pp. 309–318.
  • J. Jimenez and A. Pinelli, The autonomous cycle of near-wall turbulence, J. Fluid Mech. 389 (1999), pp. 335–359.
  • U. Piomelli and E. Balaras, Wall-layer models for large-eddy simulations, Ann. Rev. Fluid Mech. 34 (2002), pp. 349–374.
  • J. Jimenez, J.C. Del Alamo, and O. Flores, The large-scale dynamics of near-wall turbulence, J. Fluid Mech. 505 (2004), pp. 179–199.
  • N. Hutchins and I. Marusic, Evidence of very long meandering features in the logarithmic region of the turbulent boundary layer, J. Fluid Mech. 579 (2007), pp. 1–28.
  • R. Mathis, N. Hutchins, and I. Marusic, Large-scale amplitude modulation of the small-scale structures in turbulent boundary layers, J. Fluid Mech. 628 (2009), pp. 311–337.
  • I. Marusic, R. Mathis, and N. Hutchins, Predictive model for wall-bounded turbulent flow, Science 329 (2010), pp. 193–196.
  • W.K. George and L. Castillo, Zero-pressure-gradient turbulent boundary layer, Appl. Mech. Rev. 50(12) (1997), pp. 689–729.
  • H. Choi and P. Moin, Grid-point requirements for large eddy simulation: Chapman’s estimates revisited, Phys. Fluids 24 (2012), p. 011702.
  • U. Piomelli, Wall-layer models for large-eddy simulations, Prog. Aerosp. Sci. 44(6) (2008), pp. 437–446.
  • J.W. Deardoff, Numerical study of three dimensional turbulent channel flow at large Reynolds numbers, J. Fluid Mech. 4 (1970), p. 453.
  • C. Pantano, D.I. Pullin, P.E. Dimotakis, and G. Matheou, LES approach for higher Reynolds number wall-bounded flows with application to turbulent channel flow, J. Comput. Phys. 227 (2008), pp. 9271–9291.
  • M. Wang and P. Moin, Dynamic wall modeling for simulation of complex flows, Phys. Fluids 14 (2002), p. 2043.
  • W. Cabot and P. Moin, Approximate wall boundary conditions in the large-eddy simulation of higher Reynolds number flow, Flow Turbul. Combust. 63 (1999), pp. 269–291.
  • S. Kawai and J. Larsson, Wall-modeling in large-eddy simulation: Length scales, grid resolution and accuracy, Phys. Fluids 24 (2012), p. 015105.
  • C. Duprat, G. Balarac, O. Métais, P.M. Congedo, and O. Brugière, A wall-layer model for large-eddy simulations of turbulent flows with/out pressure gradient, Phys. Fluids 23 (2011), p. 015101.
  • R. Spalart, Detached eddy simulation, Ann. Rev. Fluid Mech. 41 (2009), pp. 181–202.
  • S.V. Utyuzhnikov, Interface boundary conditions in near-wall turbulence modeling, Comput. Fluids 68 (2012), pp. 186–191.
  • J.S. Baggett,Annual Research Briefs, Center for Turbulence Research, Stanford University, Stanford, CA, 1998.
  • S. Chen, Z. Xia, S. Pei, J. Wang, Y. Yang, Z. Xiao, and Y. Shi, Reynolds-stress-constrained large-eddy simulation of wall-bounded turbulent flows, J. Fluid Mech. 703 (2012), pp. 1–28.
  • J.A. Templeton, M. Wang, and P. Moin, A predictive wall model for large-eddy simulation based on optimal control techniques, Phys. Fluids 20 (2008), p. 065104.
  • B. Podvin and Y. Fraigneau, Synthetic wall boundary conditions for the direct numerical simulation of wall-bounded turbulence, J. Turbul. 12 (2011), pp. 1–26.
  • Y. Mizuno and J. Jimenez, Wall turbulence without walls, J. Fluid Mech. 723 (2013), pp. 429–455.
  • E. Gadoin, P. Le Quéré, and O. Daube, A general methodology for investigating flow instability in complex geometries: Application to natural convection and enclosures, Int. J. Num. Meth. Fluids 37 (2001), pp. 175–208.
  • C. Hirsch, Numerical Computation of External and Internal Flows: Introduction to the Fundamentals of CFD, Butterworth-Heinemann, Oxford, 2006.
  • K. Goda, A multistep technique with implicit difference schemes for calculating two- or three-dimensional cavity flows, J. Comp. Phys. 30 (1979), pp. 76–95.
  • M. Germano, U. Piomelli, P. Moin, and W. Cabot, A dynamic subgrid-scale eddy-viscosity model, Phys. Fluids A 3 (1991), p. 1760.
  • A.G. Kravchenko and P. Moin, On the effect of numerical errors in large eddy simulations of turbulent flows, J. Comp. Phys. 131 (1997), p. 310.
  • T.T. Brandt, Study on numerical and modelling error in LES of a channel flow using explicit filtering, Comput. Fluid Dyn. 2009 (2006), pp. 469–474.
  • D.K. Lilly, A proposed modification of the germano subgrid scale closure method, Phys. Fluids A 4 (1992), p. 2746.
  • R. Moser, J. Kim, and N.N. Mansour, Direct numerical simulation of turbulent channel flow up to reτ = 590, Phys. Fluids 11(4) (1999), p. 943.
  • S.B. Pope, A more general effective-viscosity hypothesis, J. Fluid Mech. 72(2) (1975), pp. 331–340.
  • S. Tardu, Stochastic synchronization of the near-wall turbulence, Phys. Fluids 20(4) (2008), p. 045105.
  • P. Holmes, J.L. Lumley, and Gal Berkooz,Turbulence, Coherent Structures, Dynamical Systems and Symmetry, Cambridge University Press, Cambridge, 1996.
  • B. Podvin, Y. Fraigneau, F. Lusseyran, and P. Gougat, A reconstruction for the flow past an open cavity, J. Fluids Eng. 128(3) (2006), p. 531.
  • B. Podvin, Y. Fraigneau, J. Jouanguy, and J.P. Laval., On self-similarity in the inner wall layer of a turbulent channel flow, J. Fluids Eng. 132(4) (2010), p. 1202.
  • R.A. Handler, E. Levich, and L. Sirovich, Drag reduction in turbulent channel flow by phase randomization, Phys. Fluids A 5(3) (1993), pp. 686–694.
  • R. Mathis, N. Hutchins, and I. Marusic, A predictive inner-outer model for streamwise turbulence statistics in wall-bounded flows, J. Fluid Mech. 681 (2011), pp. 537–566.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.