- Physical Review Journals
All JournalsPhysics Magazine
Access Provided by Xinjiang University

Physical Review Fluids

Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Space-time characteristics of wall-pressure and wall shear-stress fluctuations in wall-modeled large eddy simulation

George Ilhwan Park* and Parviz Moin

  • Center for Turbulence Research, Stanford University, 488 Escondido Mall, Stanford, California 94305-4035, USA

  • *Corresponding author: gipark@stanford.edu
PDF

Phys. Rev. Fluids 1, 024404 – Published 20 June, 2016

DOI: https://doi.org/10.1103/PhysRevFluids.1.024404

Abstract

We report the space-time characteristics of the wall-pressure fluctuations and wall shear-stress fluctuations from wall-modeled large eddy simulation (WMLES) of a turbulent channel flow at Reτ=2000. Two standard zonal wall models (equilibrium stress model and nonequilibrium model based on unsteady RANS) are employed, and it is shown that they yield similar results in predicting these quantities. The wall-pressure and wall shear-stress fields from WMLES are analyzed in terms of their r.m.s. fluctuations, spectra, two-point correlations, and convection velocities. It is demonstrated that the resolution requirement for predicting the wall-pressure fluctuations is more stringent than that for predicting the velocity. At least δ/Δx>20 and δ/Δz>30 are required to marginally resolve the integral length scales of the pressure-producing eddies near the wall. Otherwise, the pressure field is potentially aliased. Spurious high wave number modes dominate in the streamwise direction, and they contaminate the pressure spectra leading to significant overprediction of the second-order pressure statistics. When these conditions are met, the pressure statistics and spectra at low wave number or low frequency agree well with the DNS and experimental data. On the contrary, the wall shear-stress fluctuations, modeled entirely through the RANS-based wall models, are largely underpredicted and relatively insensitive to the grid resolution. The short-time, small-scale near-wall eddies, which are neither resolved nor modeled adequately in the wall models, seem to be important for accurate prediction of the wall shear-stress fluctuations.

View figure in article

Physics Subject Headings (PhySH)

Corrections

10 April, 2017

Erratum

Publisher's Note: Space-time characteristics of wall-pressure and wall shear-stress fluctuations in wall-modeled large eddy simulation [Phys. Rev. Fluids 1, 024404 (2016)]

George Ilhwan Park and Parviz Moin
Phys. Rev. Fluids 2, 049901 (2017)

Article Text

References (42)

  1. J. Jiménez and R. D. Moser, Large-eddy simulations: Where are we and what can we expect? AIAA J. 38, 605 (2000).
  2. T. Sayadi and P. Moin, Large eddy simulation of controlled transition to turbulence, Phys. Fluids 24, 114103 (2012).
  3. H. Choi and P. Moin, Grid-point requirements for large eddy simulation: Chapman's estimates revisited, Phys. Fluids 24, 011702 (2012).
  4. J. W. Deardorff, The numerical study of three dimensional turbulent channel flow at large Reynolds numbers, J. Fluid Mech. 41, 453 (1970).
  5. U. Schumann, Subgrid scale model for finite difference simulations of turbulent flows in plane channels and annuli, J. Comput. Phys. 18, 376 (1975).
  6. E. Balaras, C. Benocci, and U. Piomelli, Two-layer approximate boundary conditions for large-eddy simulations, AIAA J. 34, 1111 (1996).
  7. W. Cabot and P. Moin, Approximate wall boundary conditions in large-eddy simulation of high Reynolds number flow, Flow Turbul. Combust. 63, 269 (2000).
  8. M. Wang and P. Moin, Dynamic wall modeling for large-eddy simulation of complex turbulent flows, Phys. Fluids 14, 2043 (2002).
  9. S. Kawai and J. Larsson, Wall-modeling in large eddy simulation: Length scales, grid resolution, and accuracy, Phys. Fluids 24, 015105 (2012).
  10. J. Bodart and J. Larsson, Sensor-based computation of transitional flows using wall-modeled large eddy simulation, in Annual Research Briefs (Center for Turbulence Research, Stanford University, 2012), pp. 229–240.
  11. S. Kawai and J. Larsson, Dynamic non-equilibrium wall-modeling for large eddy simulation at high Reynolds numbers, Phys. Fluids 25, 015105 (2013).
  12. G. I. Park and P. Moin, An improved dynamic non-equilibrium wall-model for large eddy simulation, Phys. Fluids 26, 015108 (2014).
  13. X. I. A. Yang, J. Sadique, R. Mittal, and C. Meneveau, Integral wall model for large eddy simulations of wall-bounded turbulent flows, Phys. Fluids 27, 025112 (2015).
  14. D. Chung and D. I. Pullin, Large-eddy simulation and wall modeling of turbulent channel flow, J. Fluid Mech. 631, 281 (2009).
  15. M. Inoue and D. I. Pullin, Large-eddy simulation of the zero-pressure gradient turbulent boundary layer up to Reθ=O(1012), J. Fluid Mech. 686, 507 (2011).
  16. S. T. Bose and P. Moin, A dynamic slip boundary condition for wall-modeled large-eddy simulation, Phys. Fluids 26, 015104 (2014).
  17. M. J. Lighthill, On sound generated aerodynamically: I. General theory, Proc. R. Soc. London 211, 564 (1952).
  18. J. E. Ffowcs Williams and D. L. Hawkings, Sound generation by turbulence and surfaces in arbitrary motions, Philos. Trans. R. Soc. London 264, 321 (1969).
  19. M. Wang, J. B. Freund, and S. K. Lele, Computational prediction of flow-generated sound, Annu. Rev. Fluid Mech. 38, 483 (2006).
  20. M. S. Howe, A review of the theory of trailing edge noise, J. Sound Vib. 61, 437 (1978).
  21. T. F. Brooks and T. H. Hodgson, Trailing edge noise prediction from measure surface pressure, J. Sound Vib. 78, 69 (1981).
  22. R. K. Amiet, Noise due to turbulent flow past a trailing edge, J. Sound Vib. 47, 387 (1976).
  23. R. K. Amiet, Acoustic radiation from an airfoil in a turbulent stream, J. Sound Vib. 41, 407 (1975).
  24. G. A. Brès, F. E. Ham, J. W. Nichols, and S. K. Lele, Nozzle wall modeling in unstructured large eddy simulations for hot supersonic jet predictions, AIAA Paper No. 2013-2142 (2013).
  25. G. A. Brès, V. Jaunet, M. Le Rallic, Peter Jordan, T. Colonius, and S. K. Lele, Large eddy simulation for jet noise: the importance of getting the boundary layer right, AIAA Paper No. 2015-2535 (2015).
  26. S. Hoyas and J. Jiménez, Scaling of the velocity fluctuations in turbulent channels up to Reτ=2003, Phys. Fluids 18, 011702 (2006).
  27. Y. Khalighi, F. Ham, P. Moin, S. K. Lele, R. Schlinker, R. Reba, and J. Simonich, Noise prediction of pressure-mismatched jets using unstructured large eddy simulation, in ASME Turbo Expo (Paper No. GT2011-46548) (2011).
  28. G. I. Park and P. Moin, Numerical aspects and implementation of a two-layer zonal wall model for LES of compressible turbulent flows on unstructured meshes, J. Comput. Phys. 305, 589 (2016).
  29. J. Bodart and J. Larsson, Wall-modeled large eddy simulation in complex geometries with application to high-lift devices, in Annual Research Briefs (Center for Turbulence Research, Stanford University, 2011), pp. 37–48.
  30. H. Choi and P. Moin, On the space-time characteristics of wall-pressure fluctuations, Phys. Fluids A 2, 1450 (1990).
  31. P. Moin, Fundamentals of Engineering Numerical Analysis, 2nd ed. (Cambridge University Press, New York, 2010).
  32. J. A. Sillero, J. Jiménez, and R. D. Moser, Two-point statistics for turbulent boundary layers and channels at Reynolds numbers up to δ+≈2000, Phys. Fluids 26, 105109 (2014).
  33. J. Lee, M. Cho, and H. Choi, Large eddy simulations of turbulent channel and boundary layer flows at high Reynolds number with mean wall shear stress boundary condition, Phys. Fluids 25, 110808 (2013).
  34. W. W. Willmarth, Pressure fluctuations beneath turbulent boundary layers, Annu. Rev. Fluid Mech. 7, 13 (1975).
  35. A. G. Kravchenko, H. Choi, and P. Moin, On the relation of near-wall streamwise vortices to wall skin friction in turbulent boundary layers, Phys. Fluids A 5, 3307 (1993).
  36. T. M. Farabee and M. J. Casarella, Spectral features of wall pressure fluctuations beneath turbulent boundary layers, Phys. Fluids A 3, 2410 (1991).
  37. P. Bradshow, Inactive motion and pressure fluctuations in turbulent boundary layers, J. Fluid Mech. 30, 241 (1967).
  38. Z. W. Hu, C. L. Morfey, and N. D. Sandham, Wall pressure and shear stress spectra from direct simulations of channel flow, AIAA J. 44, 1541 (2006).
  39. U. Piomelli, J. Ferziger, P. Moin, and J. Kim, New approximate boundary conditions for large eddy simulations of wall-bounded flows, Phys. Fluids A 1, 1061 (1989).
  40. R. Mathis, I. Marusic, S. I. Chernyshenko, and N. Hutchins, Estimating wall-shear-stress fluctuations given an outer region input, J. Fluid Mech. 715, 163 (2013).
  41. S. Jeon, H. Choi, J. Yoo, and P. Moin, Space-time characteristics of the wall shear-stress fluctuation in a low Reynolds number channel flow, Phys. Fluids 11, 3084 (1999).
  42. J. Kim, On the structure of pressure fluctuations in simulated turbulent channel flow, J. Fluid Mech. 205, 421 (1989).

Outline

Information

Phys. Rev. Fluids 1, 024404– Published 20 June, 2016
  • Received 2 February 2016
  • Publisher error corrected 10 April 2017
Article part of CHORUS

©2016 American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation