Implicit turbulence modeling is the numerical simulation of high Reynolds fluid flow using nonoscillatory finite volume (NFV) schemes without any explicit subgrid scale model. Here we investigate the ability of a particular NFV scheme, MPDATA, to simulate decaying turbulence in a triply periodic cube for a variety of viscosities, comparing our results to analogous pseudo-spectral studies. In the regime of direct numerical simulation, MPDATA is shown to agree closely with the pseudo-spectral results. As viscosity is reduced, the two model results diverge. We study the MPDATA results in the inviscid limit, using a combination of mathematical analysis and computational experiment. We validate these results as representing the turbulent flow in the limit of very high Reynolds number.
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December 2002
Technical Papers
Implicit Turbulence Modeling for High Reynolds Number Flows
L. G. Margolin,
L. G. Margolin
Center for Nonlinear Studies, Los Alamos National Laboratory, MS B258, Los Alamos, NM 87545
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P. K. Smolarkiewicz,
P. K. Smolarkiewicz
Microscale and Mesoscale Meteorology Division, National Center for Atmospheric Research, Boulder, CO 80307
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A. A. Wyszogrodzki
A. A. Wyszogrodzki
Institute for Geophysics and Plenetary Physics, Earth and Space Sciences Division, Los Alamos National Laboratory, MS C305, Los Alamos, NM 87545
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L. G. Margolin
Center for Nonlinear Studies, Los Alamos National Laboratory, MS B258, Los Alamos, NM 87545
P. K. Smolarkiewicz
Microscale and Mesoscale Meteorology Division, National Center for Atmospheric Research, Boulder, CO 80307
A. A. Wyszogrodzki
Institute for Geophysics and Plenetary Physics, Earth and Space Sciences Division, Los Alamos National Laboratory, MS C305, Los Alamos, NM 87545
Contributed by the Fluids Engineering Division for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received by the Fluids Engineering Division Mar. 12, 2002; revised manuscript received May 29, 2002. Associate Editor: F. F. Grinstein.
J. Fluids Eng. Dec 2002, 124(4): 862-867 (6 pages)
Published Online: December 4, 2002
Article history
Received:
March 12, 2002
Revised:
May 29, 2002
Online:
December 4, 2002
Citation
Margolin, L. G., Smolarkiewicz, P. K., and Wyszogrodzki, A. A. (December 4, 2002). "Implicit Turbulence Modeling for High Reynolds Number Flows ." ASME. J. Fluids Eng. December 2002; 124(4): 862–867. https://doi.org/10.1115/1.1514210
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