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Numerical study of pressure and velocity fluctuations in nearly isotropic turbulence

Schumann, U. and Patterson, G.S. (1978) Numerical study of pressure and velocity fluctuations in nearly isotropic turbulence. Journal of Fluid Mechanics, 88, pp. 685-709. DOI: 10.1017/S0022112078002347

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Official URL: http://www.jfm.damtp.cam.ac.uk/

Abstract

The spectral method of Orszag and Patterson has been extended to calculate the static pressure fluctuations in incompressible homogeneous decaying turbulence at Reynolds numbers Reλ [less, similar] 35. In real space 323 points are treated. Several cases starting from different isotropic initial conditions have been studied. Some departure from isotropy exists owing to the small number of modes at small wavenumbers. Root-mean-square pressure fluctuations, pressure gradients and integral length scales have been evaluated. The results agree rather well with predictions based on velocity statistics and on the assumption of normality. The normality assumption has been tested extensively for the simulated fields and found to be approximately valid as far as fourth-order velocity correlations are concerned. In addition, a model for the dissipation tensor has been proposed. The application of the present method to the study of the return of axisymmetric turbulence to isotropy is described in the companion paper.

Item URL in elib:https://elib.dlr.de/53662/
Document Type:Article
Title:Numerical study of pressure and velocity fluctuations in nearly isotropic turbulence
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Schumann, U.KFZ KarlsruheUNSPECIFIED
Patterson, G.S.NCAR, Boulder, CO, USAUNSPECIFIED
Date:1978
Journal or Publication Title:Journal of Fluid Mechanics
Open Access:Yes
Gold Open Access:No
In SCOPUS:No
In ISI Web of Science:No
Volume:88
DOI :10.1017/S0022112078002347
Page Range:pp. 685-709
Status:Published
Keywords:spectral method, Orszag, Patterson
HGF - Research field:other
HGF - Program:other
HGF - Program Themes:other
DLR - Research area:no assignment
DLR - Program:no assignment
DLR - Research theme (Project):no assignment
Location: Oberpfaffenhofen
Institutes and Institutions:Institute of Atmospheric Physics
Deposited By: Freund, Jana
Deposited On:18 Nov 2008
Last Modified:31 Jul 2019 19:21

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