Resolving Turbulent Wakes

[+] Author and Article Information
Stephen A. Jordan

Naval Undersea Warfare Center, Code 74, Newport, RI 02841e-mail: jordansa@npt.nuwc.navy.mil

J. Fluids Eng 125(5), 823-834 (Oct 07, 2003) (12 pages) doi:10.1115/1.1603302 History: Received July 11, 2002; Revised April 21, 2003; Online October 07, 2003
Copyright © 2003 by ASME
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Cantwell,  B., and Coles,  D., 1983, “An Experimental Study of Entrainment and Transport in the Turbulent Near Wake of a Circular Cylinder,” J. Fluid Mech., 136, pp. 321–374.
Wei,  T., and Smith,  C. R., 1986, “Secondary Vortices in the Wake of Circular Cylinders,” J. Fluid Mech., 169, pp. 513–533.
Platzman,  G. W., 1961, “An Approximation to the Product of Discrete Functions,” J. Meteorol., 18, pp. 31–37.
Lele,  S. K., 1992, “Compact Finite Difference Schemes With Spectral-Like Resolution,” J. Comput. Phys., 103, pp. 16–42.
Jordan,  S. A., 1999, “A Large-Eddy Simulation Methodology in Generalized Curvilinear Coordinates,” J. Comput. Phys., 148, pp. 322–340.
Jordan,  S. A., and Ragab,  S. A., 1996, “An Efficient Fractional-Step Technique for Unsteady Three-Dimensional Flows,” J. Comput. Phys., 127(0170), pp. 218–225.
Smagorinsky,  J., 1963, “General Circulation Experiments With the Primitive Equations, I. The Basic Experiment,” Mon. Weather Rev., 91, pp. 99–164.
Germano,  M., Piomelli,  U., Moin,  P., and Cabot,  W. H., 1991, “A Dynamic Subgrid-Scale Eddy Viscosity Model,” Phys. Fluids, 3, pp. 1760–1765.
Jordan,  S. A., 2001, “Dynamic Subgrid-Scale Modeling for Large-Eddy Simulations in Complex Topologies,” ASME J. Fluids Eng., 123, pp. 1–10.
Morinishi,  T. S., Lund,  T. S., Vasilyev,  O. V., and Moin,  P., 1998, “Fully Conservative Higher Order Finite Difference Schemes for Incompressible Flow,” J. Comput. Phys., 143, pp. 90–124.
Vasilyev, O. V., 1998, “On the Construction of High Order Finite Difference Schemes on Non-Uniform Meshes With Good Conservation Properties,” Center for Turbulence Research, Annual Research Briefs.
Tennekes, H., and Lumley, J. L., 1972, A First Course in Turbulence, The MIT Press, Cambridge, MA.
Mansour, N. N., Moin, P., Reynolds, W. C., and Ferziger, J. H., 1979, “Improved Methods for Large-Eddy Simulation of Turbulence,” Turbulent Shear Flows I, Springer-Verlag, New York, pp. 386–400.
Horiuti,  K., 1987, “Comparison of Conservative and Rotational Forms in Large-Eddy Simulations of Turbulent Channel Flow,” J. Comput. Phys., 71(2), pp. 343–370.
Arakawa,  J., 1966, “Computational Design for Long-Term Numerical Integration of the Equations of Fluid Motion: Two-Dimensional Incompressible Flow, Part I,” J. Comput. Phys., 1(1), pp. 119–143.
Piomelli, U., Ferizer, J. H., and Moin, P., 1988, “Model for Large-Eddy Simulation of Turbulent Channel Flow Including Transpiration,” Department of Mechanical Engineering Report, TF-32, Stanford University, Stanford, CA.
Kravchenko,  A. G., and Moin,  P., 1997, “On the Effect of Numerical Errors in Large Eddy Simulations of Turbulent Flows,” J. Comput. Phys., 131, pp. 310–322.
Ladeinde,  F., Cai,  X., Visbal,  M. R., and Giatonde,  D. V., 2001, “Turbulence Spectra Characteristics of High Order Schemes for Direct and Large Eddy Simulation,” Appl. Numer. Math. 36, pp. 447–474.
Visbal,  M. R., and Rizzetta,  D. P., 2002, “Large-Eddy Simulations on Curvilinear Grids Using Compact Differencing and Filtering Schemes,” ASME J. Fluids Eng., 124, pp. 836–847.
Adams,  N. A., and Shariff,  K., 1996, “A High-Resolution Hybrid Compact-ENO Scheme for Shock-Turbulence Interaction Problems,” J. Comput. Phys., 127(0170), pp. 218–225.
Mansy,  H., Yang,  P., and Williams,  D. R., 1990, “Quantitative Measurements of Three-Dimensional Structures in the Wake of a Circular Cylinder,” J. Fluid Mech., 270, pp. 277–296.
Williamson, C. H., 1995, “Vortex Dynamics in the Wake of a Cylinder,” Fluid Vortices: Fluid Mechanics and Its Application, 30 , S. L. Green, ed., Kluwer, Dordrecht, The Netherlands, pp. 155–134.
Kravchenko,  A. G., and Moin,  P., 2000, “Numerical Studies of Flow Over a Circular Cylinder at ReD=3900,” Phys. Fluids, 12(2), pp. 403–417.
Ong,  L., and Wallace,  J., 1996, “The Velocity Field of the Turbulent Very Near Wake of a Circular Cylinder,” Exp. Fluids, 333, pp. 375–402.
Rosenfeld, M., Kwak, D., and Vinokur, M., 1993, “A Fractional-Step Solution Method for the Unsteady Incompressible Navier-Stokes Equations in Generalized Coordinate Systems,” NASA Tech Briefs ARC-12621, Ames Research Cneter, Moffett Field, CA.
Uberoi,  M. S., and Freymuth,  P., 1969, “Spectra of Turbulence in Wakes Behind Circular Cylinders,” Phys. Fluids, 12(7), pp. 1359–1363.
Beaudan, P., and Moin, P., 1994, “Numerical Experiments on the Flow Past a Circular Cylinder at Sub-Critical Reynolds Number,” Report No. TF-62, Stanford, University, Stanford, CA.
Lourenco, L. M., and Shih, C., 1993, “Characteristics of the Plane Turbulent Near Wake of a Circular Cylinder, a Particle Image Velocimetry Study,” private communication, (taken from Ref. 27).
Breuer,  M., 1998, “Numerical and Modeling Influences on Large-Eddy Simulations for the Flow Past a Circular Cylinder,” Int. J. Heat Fluid Flow, 19, pp. 512–521.
Lubcke,  H., Schmidt,  S., Rung,  T., and Thiele,  F., 2001, “Comparison of LES and RANS in Bluff-Body Flows,” J. Wind. Eng. Ind. Aerodyn., 89, pp. 1471–1485.
Wille,  R., 1960, “Karman Vortex Streets,” Adv. Appl. Mech., 6, p. 273.
Norberg,  C., 1994, “An Experimental Investigtion of the Flow Around a Circular Cylinder: Influence of Aspect Ratio,” J. Fluid Mech., 258, pp. 287–316.
Gerrard,  J. H., 1978, “An Experimental Investigation of the Oscillating Lift and Drag of a Circular Cylinder Shedding Turbulent Vortices,” Philos. Trans. R. Soc. London, Ser. A, 288, p. 358.
Dimopoulos,  H. G., and Hanratty,  T. J., 1968, “Velocity Gradients at the Wall for Flow Around a Cylinder for Reynolds Numbers Between 60 and 360,” J. Fluid Mech., 33, Part 2, pp. 303–319.
Norberg, C., 1987, “Effects of Reynolds Number and a Low-Intensity Free-Stream Turbulence on the Flow Around a Circular Cylinder,” No. 87/2, Chalmer University of Technology, Gothenburg, Sweden.
Cardell, G. S., 1993, “Flow Past a Circular Cylinder With a Permeable Splitter Plate,” Ph.D. thesis, Graduate Aeronautical Laboratories, California Institute of Technology, Pasadena, CA.
Son,  J. S., and Hanratty,  T. J., 1969, “Velocity Gradients at the Wall for Flow Around a Cylinder at Reynolds Numbers From 5×103 to 105,” J. Fluid Mech., 35, Part 2, pp. 353–368.


Grahic Jump Location
Dispersive (a) and dissipative (b) errors of the present compact upwind differences compared to three explicit schemes; O(2) explicit second-order central differences, O(3) explicit third-order upwind, O(5) explicit fifth-order upwind, O(5c) compact fifth-order upwind, and O(3cb) one-sided compact third-order upwind
Grahic Jump Location
Differencing, interpolation and filtering stencils; notation O–indicates order; 2, 3, 4, 5 and 6–order number; c–compact differencing; cf–compact filtering; i–explicit point interpolation; f–explicit filtering; ci–compact interpolation; cui–compact upwind interpolation. Example, O(4c4cui) denotes fourth-order compact differencing of fourth-order compact upwind interpolated quantities.
Grahic Jump Location
DNS results of the explicit third-order and compact fifth-order differencing (advective derivative) of the streamwise energy spectra (in Kolmorgorov units) compared to the experimental measurements, 2426
Grahic Jump Location
DNS results of the explicit third-order and compact fifth-order differencing (advective derivative) of the streamwise dissipation rate and turbulence production (both in Kolmorgorov units) compared to the experimental measurements, 2426
Grahic Jump Location
Phase-averaged LES computations using the compact stencil A(5c4cui); (a) comparisons of the streamwise energy spectra to the experimental measurements, 2426 and LES results of Beaudan and Moin 27, (b) switch from fourth-order Padé to compact fifth-order stencil in spanwise direction A(5c5c)
Grahic Jump Location
Comparisons of the streamwise energy spectra to the experimental measurements 2426 along radii r/D=1.0 and r/D=5.0; scheme K(4cui)
Grahic Jump Location
Spanwise-streamwise instantaneous pressure contours; stencil A(5c5c), max. 0.41, min. −1.5, incr. 0.065; (b) stencil K(4cui), max. 0.15, min. −1.5, incr. 0.055; (c) stencil A(5c4cui), max. 0.30, min. −1.5, incr. 0.06
Grahic Jump Location
Comparisons of the time-averaged streamwise (uu) and transverse (vv) total Reynolds stress using the A(5c4cui) scheme to the experimental measurements, 37, and previous LES results, 3233



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