Onset criteria for freely decaying isotropic turbulence

S. R. Yoffe, W. D. McComb

Research output: Contribution to journalArticle

2 Citations (Scopus)
13 Downloads (Pure)

Abstract

From direct numerical simulation (DNS) of turbulence decaying from specified initial conditions for the range of initial Taylor-Reynolds numbers 2.58 ≤ Rλ(0) ≤ 358.6, it was found that the shape of the iconic curve of dimensionless dissipation versus Reynolds number depended strongly on the choice of measurement time. For our preferred time, a composite based on peak values in the dissipation and inertial transfer curves, the result was virtually identical to the forced, stationary case. In order to try varying the initial conditions, an additional run was performed, using the data from a stationary, forced simulation with Rλ = 335 for the initial condition. The results of this suggested that the time taken for energy to pass through the cascade was about one half of an initial eddy turnover time. In the course of studying onset criteria, we found that the exponent for the power-law decay of the energy decreased with increasing Reynolds number and lay in the range 1.35 ≤ n ≤ 2.60.
Original languageEnglish
Article number104605
Number of pages27
JournalPhysical Review Fluids
Volume3
DOIs
Publication statusPublished - 15 Oct 2018

Fingerprint

isotropic turbulence
Turbulence
Reynolds number
Initial conditions
dissipation
Dissipation
Direct numerical simulation
curves
Time measurement
direct numerical simulation
Curve
cascades
Energy
turbulence
time measurement
Dimensionless
exponents
vortices
Range of data
Cascade

Keywords

  • homogeous isotropic turbulence
  • decaying turbulence
  • evolved turbulence
  • direct numerical simulation

Cite this

@article{95af330f5f944f7cada805243591eeca,
title = "Onset criteria for freely decaying isotropic turbulence",
abstract = "From direct numerical simulation (DNS) of turbulence decaying from specified initial conditions for the range of initial Taylor-Reynolds numbers 2.58 ≤ Rλ(0) ≤ 358.6, it was found that the shape of the iconic curve of dimensionless dissipation versus Reynolds number depended strongly on the choice of measurement time. For our preferred time, a composite based on peak values in the dissipation and inertial transfer curves, the result was virtually identical to the forced, stationary case. In order to try varying the initial conditions, an additional run was performed, using the data from a stationary, forced simulation with Rλ = 335 for the initial condition. The results of this suggested that the time taken for energy to pass through the cascade was about one half of an initial eddy turnover time. In the course of studying onset criteria, we found that the exponent for the power-law decay of the energy decreased with increasing Reynolds number and lay in the range 1.35 ≤ n ≤ 2.60.",
keywords = "homogeous isotropic turbulence, decaying turbulence, evolved turbulence, direct numerical simulation",
author = "Yoffe, {S. R.} and McComb, {W. D.}",
year = "2018",
month = "10",
day = "15",
doi = "10.1103/PhysRevFluids.3.104605",
language = "English",
volume = "3",
journal = "Physical Review Fluids",
issn = "2469-990X",

}

Onset criteria for freely decaying isotropic turbulence. / Yoffe, S. R.; McComb, W. D.

In: Physical Review Fluids, Vol. 3, 104605, 15.10.2018.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Onset criteria for freely decaying isotropic turbulence

AU - Yoffe, S. R.

AU - McComb, W. D.

PY - 2018/10/15

Y1 - 2018/10/15

N2 - From direct numerical simulation (DNS) of turbulence decaying from specified initial conditions for the range of initial Taylor-Reynolds numbers 2.58 ≤ Rλ(0) ≤ 358.6, it was found that the shape of the iconic curve of dimensionless dissipation versus Reynolds number depended strongly on the choice of measurement time. For our preferred time, a composite based on peak values in the dissipation and inertial transfer curves, the result was virtually identical to the forced, stationary case. In order to try varying the initial conditions, an additional run was performed, using the data from a stationary, forced simulation with Rλ = 335 for the initial condition. The results of this suggested that the time taken for energy to pass through the cascade was about one half of an initial eddy turnover time. In the course of studying onset criteria, we found that the exponent for the power-law decay of the energy decreased with increasing Reynolds number and lay in the range 1.35 ≤ n ≤ 2.60.

AB - From direct numerical simulation (DNS) of turbulence decaying from specified initial conditions for the range of initial Taylor-Reynolds numbers 2.58 ≤ Rλ(0) ≤ 358.6, it was found that the shape of the iconic curve of dimensionless dissipation versus Reynolds number depended strongly on the choice of measurement time. For our preferred time, a composite based on peak values in the dissipation and inertial transfer curves, the result was virtually identical to the forced, stationary case. In order to try varying the initial conditions, an additional run was performed, using the data from a stationary, forced simulation with Rλ = 335 for the initial condition. The results of this suggested that the time taken for energy to pass through the cascade was about one half of an initial eddy turnover time. In the course of studying onset criteria, we found that the exponent for the power-law decay of the energy decreased with increasing Reynolds number and lay in the range 1.35 ≤ n ≤ 2.60.

KW - homogeous isotropic turbulence

KW - decaying turbulence

KW - evolved turbulence

KW - direct numerical simulation

UR - https://journals.aps.org/prfluids/

U2 - 10.1103/PhysRevFluids.3.104605

DO - 10.1103/PhysRevFluids.3.104605

M3 - Article

VL - 3

JO - Physical Review Fluids

JF - Physical Review Fluids

SN - 2469-990X

M1 - 104605

ER -