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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 164-168 |
| Number of pages | 5 |
| Journal | Physica D: Nonlinear Phenomena |
| Volume | 241 |
| Issue number | 3 |
| DOIs | |
| State | Published - Feb 1 2012 |
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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 journal › Article
}
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
VL - 241
SP - 164
EP - 168
JO - Physica D: Nonlinear Phenomena
JF - Physica D: Nonlinear Phenomena
SN - 0167-2789
IS - 3
ER -