Some results on the Reynolds number scaling of pressure statistics in isotropic turbulence

D. A. Donzis, K. R. Sreenivasan, P. K. Yeung

Research output: Contribution to journalArticle

Abstract

Using data from direct numerical simulations in the Reynolds number range 8≤ ≤1000, where is the Taylor microscale Reynolds number, we assess the Reynolds number scaling of the microscale and the integral length scale of pressure fluctuations in homogeneous and isotropic turbulence. The root-mean-square (rms) pressure (in kinematic units) is about 0.91ρu′ 2, where u′ is the rms velocity in any one direction. The ratio of the pressure microscale to the (longitudinal) velocity Taylor microscale is a constant of about 0.74 for very low Reynolds numbers but increases approximately as 0.17Rλ13 at high Reynolds numbers. We discuss these results in the context of the existing theory and provide plausible explanations, based on intermittency, for their observed trends.

Original languageEnglish (US)
Pages (from-to)164-168
Number of pages5
JournalPhysica D: Nonlinear Phenomena
Volume241
Issue number3
DOIs
StatePublished - Feb 1 2012

Fingerprint

isotropic turbulence
microbalances
Reynolds number
statistics
scaling
homogeneous turbulence
high Reynolds number
intermittency
low Reynolds number
direct numerical simulation
kinematics
trends

Keywords

  • Numerical simulations
  • Pressure fluctuations
  • Turbulence

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Statistical and Nonlinear Physics

Cite this

Some results on the Reynolds number scaling of pressure statistics in isotropic turbulence. / Donzis, D. A.; Sreenivasan, K. R.; Yeung, P. K.

In: Physica D: Nonlinear Phenomena, Vol. 241, No. 3, 01.02.2012, p. 164-168.

Research output: Contribution to journalArticle

@article{00b967f6f73a4bf09b5a169ca27ccba8,
title = "Some results on the Reynolds number scaling of pressure statistics in isotropic turbulence",
abstract = "Using data from direct numerical simulations in the Reynolds number range 8≤ Rλ≤1000, where Rλ is the Taylor microscale Reynolds number, we assess the Reynolds number scaling of the microscale and the integral length scale of pressure fluctuations in homogeneous and isotropic turbulence. The root-mean-square (rms) pressure (in kinematic units) is about 0.91ρu′ 2, where u′ is the rms velocity in any one direction. The ratio of the pressure microscale to the (longitudinal) velocity Taylor microscale is a constant of about 0.74 for very low Reynolds numbers but increases approximately as 0.17Rλ13 at high Reynolds numbers. We discuss these results in the context of the existing theory and provide plausible explanations, based on intermittency, for their observed trends.",
keywords = "Numerical simulations, Pressure fluctuations, Turbulence",
author = "Donzis, {D. A.} and Sreenivasan, {K. R.} and Yeung, {P. K.}",
year = "2012",
month = "2",
day = "1",
doi = "10.1016/j.physd.2011.04.015",
language = "English (US)",
volume = "241",
pages = "164--168",
journal = "Physica D: Nonlinear Phenomena",
issn = "0167-2789",
publisher = "Elsevier",
number = "3",

}

TY - JOUR

T1 - Some results on the Reynolds number scaling of pressure statistics in isotropic turbulence

AU - Donzis, D. A.

AU - Sreenivasan, K. R.

AU - Yeung, P. K.

PY - 2012/2/1

Y1 - 2012/2/1

N2 - Using data from direct numerical simulations in the Reynolds number range 8≤ Rλ≤1000, where Rλ is the Taylor microscale Reynolds number, we assess the Reynolds number scaling of the microscale and the integral length scale of pressure fluctuations in homogeneous and isotropic turbulence. The root-mean-square (rms) pressure (in kinematic units) is about 0.91ρu′ 2, where u′ is the rms velocity in any one direction. The ratio of the pressure microscale to the (longitudinal) velocity Taylor microscale is a constant of about 0.74 for very low Reynolds numbers but increases approximately as 0.17Rλ13 at high Reynolds numbers. We discuss these results in the context of the existing theory and provide plausible explanations, based on intermittency, for their observed trends.

AB - Using data from direct numerical simulations in the Reynolds number range 8≤ Rλ≤1000, where Rλ is the Taylor microscale Reynolds number, we assess the Reynolds number scaling of the microscale and the integral length scale of pressure fluctuations in homogeneous and isotropic turbulence. The root-mean-square (rms) pressure (in kinematic units) is about 0.91ρu′ 2, where u′ is the rms velocity in any one direction. The ratio of the pressure microscale to the (longitudinal) velocity Taylor microscale is a constant of about 0.74 for very low Reynolds numbers but increases approximately as 0.17Rλ13 at high Reynolds numbers. We discuss these results in the context of the existing theory and provide plausible explanations, based on intermittency, for their observed trends.

KW - Numerical simulations

KW - Pressure fluctuations

KW - Turbulence

UR - http://www.scopus.com/inward/record.url?scp=84655162189&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84655162189&partnerID=8YFLogxK

U2 - 10.1016/j.physd.2011.04.015

DO - 10.1016/j.physd.2011.04.015

M3 - Article

AN - SCOPUS:84655162189

VL - 241

SP - 164

EP - 168

JO - Physica D: Nonlinear Phenomena

JF - Physica D: Nonlinear Phenomena

SN - 0167-2789

IS - 3

ER -