### 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

*Physica D: Nonlinear Phenomena*,

*241*(3), 164-168. https://doi.org/10.1016/j.physd.2011.04.015

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

Research output: Contribution to journal › Article

*Physica D: Nonlinear Phenomena*, vol. 241, no. 3, pp. 164-168. https://doi.org/10.1016/j.physd.2011.04.015

}

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 -