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

abstract

• Using data from direct numerical simulations in the Reynolds number range 8R1000, where R 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 0.91u2, 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 0.17R13 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. 2010 Elsevier B.V. All rights reserved.

authors

• Donzis, Diego

published proceedings

• PHYSICA D-NONLINEAR PHENOMENA

author list (cited authors)

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

citation count

• 17

complete list of authors

• Donzis, DA||Sreenivasan, KR||Yeung, PK

publication date

• February 2012

publisher

• Elsevier  Publisher

published in

• Physica D : Non-linear phenomena  Journal

keywords

• Numerical Simulations
• Pressure Fluctuations
• Turbulence

Digital Object Identifier (DOI)

• 10.1016/j.physd.2011.04.015

start page

• 164

end page

• 168

volume

• 241

issue

• 3

URL

• http%3A%2F%2Fdx.doi.org%2F10.1016%2Fj.physd.2011.04.015