Skip to main content

Experimental Measurements of Subgrid Passive Scalar Anisotropy and Universality

  • Chapter
Direct and Large-Eddy Simulation IV

Part of the book series: ERCOFTAC Series ((ERCO,volume 8))

  • 723 Accesses

Abstract

An experimental study on the effects of passive scalar anisotropy on subgrid-scale (SGS) physics and modeling for Large-Eddy Simulations is performed across a turbulent wake flow generated by a heated cylinder. To obtain filtered and subgrid quantities at three different filter sizes the separation distance among probes in an array of four X-wire and four cold-wire probes is varied. We find that while the kinetic energy dissipation tensor approaches isotropy at small scales, the SGS scalar-variance dissipation remains anisotropic independent of filter scale in the presence of the scalar gradient. The eddy-diffusion model predicts, incorrectly, isotropic behavior. The nonlinear (or tensor eddy diffusivity) model reproduces the correct trends, but overestimates the level of scalar dissipation anisotropy. The model coefficients evaluated from matching global averages of real and modeled SGS dissipations are fairly uniform across the wake (universal), both for those associated with the SGS momentum field and the anisotropic scalar field.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Borue, V. and Orszag, S. (1998) “Local energy flux and subgrid-scale statistics in three-dimensional turbulence,” J. Fluid Mech. 366, 1–31.

    Article  MathSciNet  MATH  Google Scholar 

  • Cerutti, S. and Meneveau, C. (2000) “Statistics of filtered velocity in grid and wake turbulence,” Phys. Fluids 12, 1143–1165.

    Article  MathSciNet  MATH  Google Scholar 

  • Cerutti, S., Meneveau, C. and Knio, O. M. (2000) “Spectral and hyper eddy viscosity in highReynolds-number turbulence,” J. Fluid Mech. 421, 307–338.

    Article  MathSciNet  MATH  Google Scholar 

  • Clark, R. G., Ferziger, J. H. and Reynolds, W. C. (1979) “Evaluation of subgrid models using an accurately simulated turbulent flow,” J. Fluid Mech. 91 1–16.

    Google Scholar 

  • Kang, H. S. and Meneveau, C. (2001) “Passive scalar anisotropy in a heated turbulent wake: new observations and implications for large-eddy simulations,” J. Fluid Mech. (in press).

    Google Scholar 

  • Kiya, M. and Matsumura, M. (1988) “Incoherent turbulent structure in the near wake of a normal plate,” J. Fluid Mech. 190, 343–356.

    Article  Google Scholar 

  • Leonard, A. (1974) “Energy cascade in large-eddy simulations of turbulent fluid flows,” Adv. Geophys. 18, 237–248.

    Article  Google Scholar 

  • Leonard, A. (1997) “Large-eddy simulation of chaotic convection and beyond,” Am. Inst. Aeronaut. Astronaut. Pap. 97–0204: 1–8.

    Google Scholar 

  • Liu, S., Meneveau, C. and Katz, J. (1994) “On the properties of similarity subgrid-scale models as deduced from measurements in a turbulent jet,” J. Fluid Mech. 275, 83–119.

    Article  Google Scholar 

  • Liu, S., Katz, J. and Meneveau, C. (1999) “Evolution and modelling of subgrid scales during rapid straining of turbulence,” J. Fluid Mech. 387, 281–320.

    Article  MathSciNet  MATH  Google Scholar 

  • Matsumura, M. and Antonia, R. A. (1993) “Momentum and heat transport in the turbulent intermediate wake of a circular cylinder,” J. Fluid Mech. 250, 651–668.

    Article  Google Scholar 

  • Meneveau, C. and Katz, J. (2000) “Scale-invariance and turbulence models for large-eddy simulation,” Annu. Rev. Fluid Mech. 32, 1–32.

    Article  MathSciNet  Google Scholar 

  • Mestayer, P. (1982) “Local isotropy and anisotropy in a high-Reynolds-number turbulent boundary layer,” J. Fluid Mech. 125, 475–503.

    Article  Google Scholar 

  • Mydlarski, L. and Warhaft, Z. (1998) “Three-point statistics and the anisotropy of a turbulent passive scalar,” Phys. Fluids 10, 2885–2894.

    Article  Google Scholar 

  • O’Neil, J. and Meneveau, C. (1997) “Subgrid-scale stresses and their modelling in a turbulent plane wake,” J. Fluid Mech. 349, 253–293.

    Article  MathSciNet  Google Scholar 

  • Piomelli, U., Cabot, W., Moin, P. and Lee, S. (1991) “Subgrid-scale backscatter in turbulent and transitional flows,” Phys. Fluids 3, 1766.

    MATH  Google Scholar 

  • Porté-Agel, F., Meneveau, C. and Parlange, M. B. (1998) “Some basic properties of the surrogate subgrid-scale heat flux in the atmospheric boundary layer, ” Boundary-Layer Meteorology 88, 425–444.

    Article  Google Scholar 

  • Sreenivasan, K. R. Antonia, R. A. and Britz, D. (1979) “Local isotropy and large structures in a heated turbulent jet,” J. Fluid Mech. 94 745–775.

    Google Scholar 

  • Stewart, R. W. (1969) “Turbulence and waves in stratified atmosphere,” Radio Sci. 4, 1269–1278.

    Google Scholar 

  • Van der Bos, F., Tao, B., Meneveau, C and Katz, J. (2001) “Effects of small-scale turbulent mo-tions on the filtered velocity gradient tensor as deduced from holographic PIV measurements,” (in preparation for submission for Phys. Fluids).

    Google Scholar 

  • Warhaft, Z. (2000) “Passive scalars in turbulent flows,” Annu. Rev. Fluid Mech. 32, 203–240.

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2001 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Kang, H.S., Meneveau, C. (2001). Experimental Measurements of Subgrid Passive Scalar Anisotropy and Universality. In: Geurts, B.J., Friedrich, R., Métais, O. (eds) Direct and Large-Eddy Simulation IV. ERCOFTAC Series, vol 8. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-1263-7_1

Download citation

  • DOI: https://doi.org/10.1007/978-94-017-1263-7_1

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-5893-5

  • Online ISBN: 978-94-017-1263-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics