We describe a series of computational experiments that employ nonoscillatory finite volume methods to simulate the decay of high Reynolds number turbulence. These experiments cover a broad range of physical viscosities and numerical resolutions. We have extracted a data set from these experiments detailing the energy dissipation by physical viscosity and by the numerical algorithm. We offer a preliminary analysis of this data, including new insights into the (computational) transition between direct numerical simulation and large eddy simulation.
Issue Section:
Technical Papers
1.
Margolin
, L. G.
, and Rider
, W. J.
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,” Int. J. Numer. Methods Fluids
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, pp. 821
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.2.
Margolin
, L. G.
, Smolarkiewicz
, P. K.
, and Wyszogrodzki
, A. A.
, 2002, “Implicit Turbulence Modeling for High Reynolds Number Flows
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, pp. 862
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, C.
, and Grinstein
, F. F.
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,” AIAA J.
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, pp. 544
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.4.
Margolin
, L. G.
, Smolarkiewicz
, P. K.
, and Sorbjan
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,” Physica D
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, pp. 390
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.5.
Smolarkiewicz
, P. K.
, Margolin
, L. G.
, and Wyszogrodzki
, A. A.
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, pp. 349
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.6.
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, D. H.
, Pouquet
, A.
, and Woodward
, P. R.
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,” Phys. Fluids
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, pp. 2133
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, and Boris
, J. P.
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,” Comput. Phys.
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, pp. 523
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, P. F.
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, J. M.
, and Youngs
, D. L.
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,” J. Fluid Mech.
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, pp. 97
–124
.9.
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, P. K.
, and Prusa
, J. M.
, 2005, “Towards Mesh Adaptivity for Geophysical Turbulence
,” Int. J. Numer. Methods Fluids
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, pp. 789
–801
.10.
Smolarkiewicz
, P. K.
, and Margolin
, L. G.
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,” J. Comput. Phys.
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, pp. 459
–480
.11.
Rider
, W. J.
, and Margolin
, L. G.
, 2003, “From Numerical Analysis to Implicit Subgrid Turbulence Modeling
,” Proceedings of the 16th AIAA CFD Conference, 23–26 June 2003, Orlando, FL
, AIAA 2003-4101.12.
Fureby
, C.
, and Grinstein
, F. F.
, 2002, “Large Eddy Simulation of High-Reynolds Number Free and Wall-Bounded Flows
,” J. Comput. Phys.
0021-9991, 181
, pp. 68
–97
.13.
Drikakis
, D.
, Margolin
, L. G.
, and Smolarkiewicz
, P. K.
, 2002, “On Spurious Eddies
,” Int. J. Numer. Methods Fluids
0271-2091, 40
, pp. 313
–322
.14.
Margolin
, L. G.
, and Rider
, W. J.
, 2005, “The Design and Construction of Implicit LES Models
,” Int. J. Numer. Methods Fluids
0271-2091, 47
, pp. 1173
–1179
.15.
Domaradzki
, J. A.
, Xiao
, Z.
, and Smolarkiewicz
, P. K.
, 2003, “Effective Eddy Viscosities in Implicit Large Eddy Simulations of Turbulent Flows
,” Phys. Fluids
1070-6631, 15
, pp. 3890
–3893
.16.
Margolin
, L. G.
, Rider
, W. J.
, and Grinstein
, F. F.
, 2005, “Modeling Turbulent Flow With Implicit LES
,” J. Turbul. (in press).17.
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, J. R.
, and Kerr
, R. M.
, 1993, “Development of Enstrophy and Spectra in Numerical Turbulence
,” Phys. Fluids A
0899-8213, 5
, pp. 2792
–2798
.18.
Smolarkiewicz
, P. K.
, and Margolin
, L. G.
, 1997, “On Foward-In-Time Differencing for Fluids: An Eulerian/Semi-Lagrangian Nonhydrostatic Model for Stratified Flow
,” Atmos.-Ocean.
0705-5900, 35
, pp. 127
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.19.
Prusa
, J. M.
, Smolarkiewicz
, P. K.
, and Wyszogrodzki
, A. A.
, 2001, “Simulations of Gravity Wave Induced Turbulence Using 512 PE CRAY T3E
,” Int. J. Appl. Math Comput. Sci.
0867-857X, 11
, pp. 101
–115
.20.
Smolarkiewicz
, P. K.
, 2005, “Multidimensional Positive Definite Advection Transport Algorithm:–An Overview
,” Int. J. Num. Meth. Fluids (in press).21.
Margolin
, L. G.
, and Shashkov
, M.
, 2005, “MPDATA: Gauge Transformations, Limiters and Monotonicity
, Int. J. Num. Meth. Fluids (in press).22.
Pope
, S. B.
, 2000, Turbulent Flows
1st ed., Cambridge University Press
, Cambridge, UK, p. 18
.Copyright © 2006
by American Society of Mechanical Engineers
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