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Energy spectrum in the dissipation range of fluid turbulence

Published online by Cambridge University Press:  01 January 1997

D. O. MARTÍNEZ ,
S. CHEN ,
G. D. DOOLEN ,
R. H. KRAICHNAN ,
L.-P. WANG  and
Y. ZHOU
D. O. MARTÍNEZ
Affiliation:
Theoretical Division and Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA IBM Research Division, T. J. Watson Research Center, PO Box 218, Yorktown Heights, New York 10598, USA Department of Mechanical Engineering, 126 Spencer Laboratory, University of Delaware, Newark, Delaware 19716-3140, USA
S. CHEN
Affiliation:
Theoretical Division and Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA IBM Research Division, T. J. Watson Research Center, PO Box 218, Yorktown Heights, New York 10598, USA
G. D. DOOLEN
Affiliation:
Theoretical Division and Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA
R. H. KRAICHNAN
Affiliation:
369 Montezuma 108, Santa Fe, New Mexico 87501, USA
L.-P. WANG
Affiliation:
Department of Mechanical Engineering, 126 Spencer Laboratory, University of Delaware, Newark, Delaware 19716-3140, USA
Y. ZHOU
Affiliation:
ICASE, NASA, Langley Research Center, Hampton, Virginia 23861, USA
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Abstract

High-resolution, direct numerical simulations of three-dimensional incompressible Navier–Stokes equations are carried out to study the energy spectrum in the dissipation range. An energy spectrum of the form A(k/kd)α exp[−βk/kd] is confirmed. The possible values of the parameters α and β, as well as their dependence on Reynolds numbers and length scales, are investigated, showing good agreement with recent theoretical predictions. A ‘bottleneck’-type effect is reported at k/kd≈4, exhibiting a possible transition from near-dissipation to far-dissipation.

Type
Research Article
Information
Journal of Plasma Physics , Volume 57 , Issue 1 , January 1997 , pp. 195 - 201
Copyright
1997 Cambridge University Press

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