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Title: A comparison of three approaches to compute the effective Reynolds number of the implicit large-eddy simulations

Journal Article · · Journal of Fluids Engineering
DOI:https://doi.org/10.1115/1.4032532· OSTI ID:1262169
 [1];  [2]
  1. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
  2. The Univ. of Sydney, Sydney, NSW (Australia)

Here, the implicit large-eddy simulation (ILES) has been utilized as an effective approach for calculating many complex flows at high Reynolds number flows. Richtmyer–Meshkov instability (RMI) induced flow can be viewed as a homogeneous decaying turbulence (HDT) after the passage of the shock. In this article, a critical evaluation of three methods for estimating the effective Reynolds number and the effective kinematic viscosity is undertaken utilizing high-resolution ILES data. Effective Reynolds numbers based on the vorticity and dissipation rate, or the integral and inner-viscous length scales, are found to be the most self-consistent when compared to the expected phenomenology and wind tunnel experiments.

Research Organization:
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Sponsoring Organization:
USDOE
DOE Contract Number:
AC52-07NA27344
OSTI ID:
1262169
Report Number(s):
LLNL-JRNL-667942
Journal Information:
Journal of Fluids Engineering, Vol. 138, Issue 7; ISSN 0098-2202
Publisher:
American Association of Mechanical Engineers (ASME)
Country of Publication:
United States
Language:
English

References (18)

Taylor instability in shock acceleration of compressible fluids journal May 1960
Instability of the interface of two gases accelerated by a shock wave journal January 1972
Point design targets, specifications, and requirements for the 2010 ignition campaign on the National Ignition Facility journal May 2011
Estimating the effective Reynolds number in implicit large-eddy simulation journal January 2014
An improved reconstruction method for compressible flows with low Mach number features journal May 2008
Growth of a Richtmyer-Meshkov turbulent layer after reshock journal September 2011
DIRECT NUMERICAL SIMULATION: A Tool in Turbulence Research journal January 1998
Local isotropy in turbulent boundary layers at high Reynolds number journal June 1994
An update on the energy dissipation rate in isotropic turbulence journal February 1998
Eddy viscosity and diffusivity modeling journal October 2005
The mixing transition in turbulent flows journal April 2000
Unification and extension of the similarity scaling criteria and mixing transition for studying astrophysics using high energy density laboratory experiments or numerical simulations journal August 2007
Effective eddy viscosities in implicit modeling of decaying high Reynolds number turbulence with and without rotation journal April 2005
A numerical dissipation rate and viscosity in flow simulations with realistic geometry using low-order compressible Navier–Stokes solvers journal September 2015
Large eddy simulation requirements for the Richtmyer-Meshkov instability journal April 2014
On the decay exponent of isotropic turbulence journal March 2002
The Phenomenology of Small-Scale Turbulence journal January 1997
Bottleneck phenomenon in developed turbulence journal April 1994