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Thermal fluctuations in the dissipation range of homogeneous isotropic turbulence

Published online by Cambridge University Press:  24 March 2022

John B. Bell*
Affiliation:
Center for Computational Sciences and Engineering, Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA
Andrew Nonaka
Affiliation:
Center for Computational Sciences and Engineering, Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA
Alejandro L. Garcia
Affiliation:
Department of Physics & Astronomy, San Jose State University, San Jose, CA 95192, USA
Gregory Eyink
Affiliation:
Department of Applied Mathematics & Statistics, Johns Hopkins University, Baltimore, MD 21218, USA
*
Email address for correspondence: [email protected]

Abstract

Using fluctuating hydrodynamics we investigate the effect of thermal fluctuations in the dissipation range of homogeneous isotropic turbulence. Simulations confirm theoretical predictions that the energy spectrum is dominated by these fluctuations at length scales comparable to the Kolmogorov length. We also find that the extreme intermittency in the far-dissipation range predicted by Kraichnan is replaced by Gaussian thermal equipartition.

Type
JFM Papers
Copyright
© The Author(s), 2022. Published by Cambridge University Press

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