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.

N1 - Funding Information:
This work is partially supported by a grant from the National Science Foundation ( CBET-0553867 ). The computations and data analyses were performed using supercomputing resources provided by the Texas Advanced Computing Center (Austin, TX), the National Institute for Computational Sciences (Oak Ridge, TN) and the National Center for Computational Sciences (Oak Ridge, TN). The authors are grateful for both forms of support.

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

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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 -