Li, Y. (2012) Geometrical statistics of fluid deformation: Restricted Euler approximation and the effects of pressure. Comptes Rendus Physique, 13 (9-10). pp. 878-888. ISSN 1631-0705
Abstract
The geometrical statistics of fluid deformation are analyzed theoretically within the framework of the restricted Euler approximation, and numerically using direct numerical simulations. The restricted Euler analysis predicts that asymptotically a material line element becomes an eigenvector of the velocity gradient regardless its initial orientation. The asymptotic stretching rate equals the intermediate eigenvalue of the strain rate tensor. Analyses of numerical data show that the pressure Hessian is the leading cause to destroy the alignment between the longest axis of the material element and the strongest stretching eigendirection of the strain rate. It also facilitates the alignment between the longest axis of the element and the intermediate eigendirection of the strain rate during initial evolution, but tends to oppose the alignment later.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2012 Académie des sciences. Published by Elsevier Masson SAS. This is an author produced version of a paper subsequently published in Comptes Rendus Physique. Uploaded in accordance with the publisher's self-archiving policy. Article available under the terms of the CC-BY-NC-ND licence (https://creativecommons.org/licenses/by-nc-nd/4.0/) |
Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Science (Sheffield) > School of Mathematics and Statistics (Sheffield) |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 26 Apr 2016 08:25 |
Last Modified: | 28 Mar 2018 07:53 |
Published Version: | http://dx.doi.org/10.1016/j.crhy.2012.09.003 |
Status: | Published |
Publisher: | Elsevier Masson |
Refereed: | Yes |
Identification Number: | 10.1016/j.crhy.2012.09.003 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:97393 |