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Computational study of optical distortions by separated shear layers and turbulent wakes

Published online by Cambridge University Press:  14 April 2009

ALI MANI ,
PARVIZ MOIN  and
MENG WANG
ALI MANI*
Affiliation:
Center for Turbulence Research, Stanford University, CA 94305, USA
PARVIZ MOIN
Affiliation:
Center for Turbulence Research, Stanford University, CA 94305, USA
MENG WANG
Affiliation:
Department of Aerospace and Mechanical Engineering, University of Notre Dame, IN 46556, USA
*
†Email address for correspondence: alimani@stanford.edu
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Abstract

The flow over a circular cylinder at ReD = 3900 and 10000 and M = 0.4 is considered a platform to study the aero-optical distortions by separated shear layers and turbulent wakes. The flow solution is obtained by large eddy simulation (LES) and validated against previous experimental and numerical results. The fluctuating refractive index obtained from LES is used in a ray-tracing calculation to determine wavefront distortions after the beam passes through the turbulent region. Free-space propagation to the far field is computed using Fourier optics. The optical statistics are analysed for different conditions in terms of optical wavelength, aperture size and the beam position. It is found that there exists an optimal wavelength which maximizes the far-field peak intensity. Optical results at both Reynolds numbers are compared. The optical distortion by the downstream turbulent wake is found to be Reynolds number insensitive. However, due to their different transition mechanisms, distortions by the near wake regions are different in the two flows. The aero-optical effects of different flow scales are examined using filtering and grid refinement. Through a grid convergence study it is confirmed that an adequately resolved LES can capture the aero-optics of highly aberrating flows without requiring additional subgrid scale model for the optics.

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Type
Papers
Information
Journal of Fluid Mechanics , Volume 625 , 25 April 2009 , pp. 273 - 298
Copyright
Copyright © Cambridge University Press 2009

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References

REFERENCES

Beaudan, P. & Moin, P. 1994 Numerical experiments on the flow past a circular cylinder at sub-critical Reynolds number. Tech Rep. TF-62. Department of Mechanical Engineering, Stanford University.Google Scholar
Cassady, P. E., Birch, S. F. & Terry, P. J. 1989 Aero-optical analysis of compressible flow over an open cavity. AIAA J. 758–762.CrossRefGoogle Scholar
Catrakis, H. J. & Aguirre, R. C. 2004 New interfacial fluid thickness approach in aero-optics with applications to compressible turbulence. AIAA J. 42, 1973–1981.CrossRefGoogle Scholar
Catrakis, H. J., Aguirre, R. C., Ruiz-plancarte, J., Thayne, R. D., McDonald, B. A. & Hearn, J. W. 2002 Large-scale dynamics in turbulent mixing and the three-dimensional space–time behavior of outer fluid interfaces. J. Fluid Mech. 471, 381–408.CrossRefGoogle Scholar
Childs, R. E. 1993 Prediction and control of turbulent aero-optical distortion using large eddy simulation. Paper 93-2670. AIAA.CrossRefGoogle Scholar
Dimotakis, P. E., Catrakis, H. J. & Fourguette, D. C. 2001 Flow structure and optical beam propagation in high-Reynolds number gas-phase shear layer and jets. J. Fluid Mech. 433, 105–134.CrossRefGoogle Scholar
Dong, S., Karniadakis, G. E., Ekmekci, A. & Rockwell, D. 2006 A combined direct numerical simulation–particle image velocimetry study of the turbulent near wake. J. Fluid Mech. 569, 185–207.CrossRefGoogle Scholar
Freeman, A. P. & Catrakis, H. J. 2008 Direct reduction of aero-optical aberrations by large structure suppression control in turbulence. AIAA J. 46, 2582–2590.CrossRefGoogle Scholar
Gilbert, K. G. 1982 Overview of aero-optics. (ed. Gilbert, K. and Otten, L. J.) In Progress in Astronautics and Aeronautics: Aero-Optical Phenomena, American Institute of Aeronautics and Astronautics, New York, N.Y. vol. 80, pp. 1–9.CrossRefGoogle Scholar
Gordeyev, S., Jumper, E. J., Ng, T. T. & Cain, A. B. 2003 Aero-optical characteristics of compressible, subsonic turbulent boundary layers. Paper 2003-3606. AIAA.CrossRefGoogle Scholar
Ho, C. M. & Huerre, P. 1984 Perturbed free shear layers. Annu. Rev. Fluid Mech. 16, 365–424.CrossRefGoogle Scholar
Hugo, R. J., Jumper, E. J., Havener, G. & Stepanek, C. 1997 Time-resolved wave front measurements through a compressible free shear layer. AIAA J. 35, 671–677.CrossRefGoogle Scholar
Jones, M. I. & Bender, E. E. 2001 CFD-based computer simulation of optical turbulence through aircraft flowfields and wakes. Paper 2001-2798. AIAA.CrossRefGoogle Scholar
Kravchenko, A. G. & Moin, P. 1998 B-spline methods and zonal grids for numerical simulations of turbulent flows. Tech Rep. TF-73. Department of Mechanical Engineering, Stanford University.CrossRefGoogle Scholar
Kravchenko, A. G. & Moin, P. 2000 Numerical studies of flow over a circular cylinder at Re D = 3900. Phys. Fluids 12, 403–417.CrossRefGoogle Scholar
Lilly, D. K. 1992 A proposed modification of the Germano subgrid-scale closure method. Phys. Fluids A 4, 633–635.CrossRefGoogle Scholar
Mahajan, V. N. 1983 Strehl ratio for aberration in terms of their aberration variance. J. Opt. Soc. Am. 73, 860–861.CrossRefGoogle Scholar
Malley, M., Sutton, G. W. & Kincheloe, N. 1992 Beam-jitter measurements of turbulent aero-optical path differences. Appl. Opt. 31, 4440–4443.CrossRefGoogle ScholarPubMed
Mani, A., Wang, M. & Moin, P. 2006 Statistical description of free-space propagation for highly aberrated optical beams. J. Opt. Soc. Am. A 23, 3027–3035.CrossRefGoogle ScholarPubMed
Mani, A., Wang, M. & Moin, P. 2008 Resolution requirements for aero-optical simulations. J. Comput. Phys. 227, 9008–9020.CrossRefGoogle Scholar
Mittal, R. & Moin, P. 1997 Suitability of upwind-biased finite-difference schemes for large-eddy simulation of turbulent flows. AIAA J. 35, 1415–1417.CrossRefGoogle Scholar
Moin, P., Squires, K., Cabot, W. & Lee, S. 1991 A dynamic subgrid-scale model for compressible turbulence and scalar transport. Phys. Fluids A 3, 2746–2757.CrossRefGoogle Scholar
Nagarajan, S., Lele, S. K. & Ferziger, J. H. 2003 A robust high-order compact method for large eddy simulation. J. Comput. Phys. 191, 392–419.CrossRefGoogle Scholar
Ong, L. & Wallace, J. 1999 The velocity field of the turbulent very near wake of a circular cylinder. Exp. Fluids 20, 441–453.CrossRefGoogle Scholar
Press, W. H., Teukolsky, S. A., Vetterling, W. T. & Flannery, B. P. 2007 Numerical Recipes: The Art of Scientific Computing. Cambridge University Press.Google Scholar
Rizzetta, D. P., Visbal, M. R. & Blaisdell, G. A. 2003 A time-implicit high-order compact differencing and filtering scheme for large-eddy simulation. Intl J. Numer. Methods Fluids 42, 665–693.CrossRefGoogle Scholar
Saleh, B. E. A. & Teich, M. C. 1991 Fundamentals of Photonics. John Wiley & sons.CrossRefGoogle Scholar
Sinha, N., Arunajatesan, S., Seiner, J. M. & Ukeiley, L. S. 2004 Large-eddy simulations of aero-optic flow fields and control application. Paper 2004-2448. AIAA.CrossRefGoogle Scholar
Smith, R. & Truman, C. 1990 Prediction of optical phase degradation using a turbulent transport equation for the variance of index-of-refraction fluctuations. Paper 90-0250. AIAA.CrossRefGoogle Scholar
Sutton, G. W. 1969 Effect of turbulence fluctuations in an optically active fluid medium. AIAA J. 7, 1737–1743.CrossRefGoogle Scholar
Sutton, G. W. 1985 Aero-optical foundations and applications. AIAA J. 23, 1525–1537.CrossRefGoogle Scholar
Tromeur, E., Garnier, E. & Sagaut, P. 2006 Large eddy simulations of aero-optical effects in a spatially developing turbulent boundary layer. J. Turbul. 7 (001).CrossRefGoogle Scholar
Tromeur, E., Garnier, E., Sagaut, P. & Basdevant, C. 2003 Large eddy simulations of aero-optical effects in a turbulent boundary layer. J. Turbul. 4 (005).CrossRefGoogle Scholar
Truman, C. R. 1992 The influence of turbulent structure on optical phase distortion through turbulent shear flows. Paper 92-2817. AIAA.CrossRefGoogle Scholar
Truman, C. R. & Lee, M. J. 1990 Effects of organized turbulence structures on the phase distortion in a coherent optical beam propagating through a turbulent shear flow. Phys. Fluids A 2, 851–857.CrossRefGoogle Scholar
Tsai, Y. P. & Christiansen, W. H. 1990 Two-dimensional numerical simulation of shear-layer optics. AIAA J. 28, 2092–2097.CrossRefGoogle Scholar
Visbal, M. R. & Rizzetta, D. P. 2008 Effect of flow excitation on aero-optical aberration. Paper 2008-1074. AIAA.CrossRefGoogle Scholar
Wolfe, W. L. & Zizzis, G. J. 1978 The Infrared Handbook. Office of Naval Research, Department of the Navy.Google Scholar
Zdravkovich, M. M. 1997 Flow around Circular Cylinders. Oxford University Press.CrossRefGoogle Scholar
Zeldovich, B. Y., Mamaev, A. V. & Shkunov, V. V. 1995 Speckle-wave Interactions in Application to Holography and Nonlinear Optics. CRC Press.Google Scholar
Zubair, F. R. & Catrakis, H. J. 2007 Aero-optical resolution robustness in turbulent separated shear layers at large Reynolds numbers. AIAA J. 45, 2721–2728.CrossRefGoogle Scholar