Energy and structure of inertial range turbulence deduced from an evolution of fluid impulse.

Summers, David (2002) Energy and structure of inertial range turbulence deduced from an evolution of fluid impulse. Physical Review E, 65 (3). 0363141- 0363149. ISSN 1063-651X

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We explore numerically a very simple idea that may provide a material explanation for inertial range turbulence. We base a Lagrangian model of viscous incompressible fluid flow on an evolving ensemble of vortex doublet sheets. Initially these are randomly oriented and randomly distributed within a disk in two-dimensional space. These sheets are then actively transported (in two dimensions) according to the Oseledets equation of motion for fluid impulse. The mutual interaction of these sheets, and their diffusion, establishes a velocity fluctuation field. In a specific sense this evolution is self-affine, and we exploit this property to calculate standard statistical measures for the fluctuation field. We determine from this simple model the second-order structure function and the energy spectrum of inertial range turbulence.

Item Type: Article
Print ISSN: 1063-651X
Electronic ISSN: 1095 3787
Uncontrolled Keywords: Fluid motion; Inertia; Turbulence; Fluid flow; Lagrangian model; Two dimensional model; Osledets equation; Fluid impulse; Statistics;
University Divisions/Research Centres: Faculty of Engineering, Computing and Creative Industries > School of Engineering and the Built Environment
Dewey Decimal Subjects: 600 Technology > 620 Engineering > 627 Hydraulic engineering
500 Science > 530 Physics
500 Science > 510 Mathematics > 510 Mathematics
Library of Congress Subjects: T Technology > TC Hydraulic engineering. Ocean engineering
Q Science > QA Mathematics
Q Science > QC Physics
Item ID: 1861
Depositing User: RAE Import
Date Deposited: 16 May 2008 08:29
Last Modified: 28 Jun 2013 10:48

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