Dissipation in Implicit Turbulence Models: A Computational Study

[+] Author and Article Information
L. G. Margolin

Applied Physics Division, Los Alamos National Laboratory, Los Alamos, NM 87545len@lenl.gov

P. K. Smolarkiewicz

Mesoscale and Microscale Meteorology, National Center for Atmospheric Research, Boulder, CO 80307smolar@ucar.edu

A. A. Wyszogradzki

Earth and Space Sciences Division, Los Alamos National Laboratory, Los Alamos, NM 87545wyszog@lanl.gov

We describe the energy dissipation by the truncation terms of MPDATA as inviscid, to distinguish it from the viscous dissipation.

J. Appl. Mech 73(3), 469-473 (Jan 17, 2006) (5 pages) doi:10.1115/1.2176749 History: Received November 24, 2003; Revised January 17, 2006

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.

Copyright © 2006 by American Society of Mechanical Engineers
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Figure 3

Total energy dissipation histories for N=127; the two curves show simulations where ν=0.0015625 and ν=0.0088

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Figure 4

Total energy dissipation rate, ET, as a function of ν for four resolutions

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Figure 5

ϵV∕ϵT as a function of ν for four resolutions

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Figure 6

Simultaneous plot of ϵV∕ϵT and L∕δx as a function of ν for N=127

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Figure 7

Total energy E* in the problem at tmax as a function of ν for four resolutions

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Figure 1

Time history of the total (ET) and the viscous (EV) energy dissipation rates for N=127 and ν=0.015625

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Figure 2

The dissipation rates ET, EV, and EI as a function of physical viscosity for N=127




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