Keylock, C.J. orcid.org/0000-0002-9517-9896 The turbulence velocity gradient tensor formed additively by normal and non-normal tensors. (Unpublished)
Abstract
We decompose the velocity gradient tensor for turbulence into normal and non-normal parts, and condition our analysis on the strain eigenvector alignments between these tensors. We identify states that always enhance, and always counteract the axisymmetric expansion state, and give a rationale for decomposing the production balance term into its constituents: complex behavior arises when the dominant strain alignments involve the non-normal tensor. Finally, we develop a topological analysis framework where mathematical bounds on two of the three variables leads to an analysis in two planes.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2016 The Author(s) |
Keywords: | physics.flu-dyn; physics.flu-dyn |
Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Engineering (Sheffield) > Department of Civil and Structural Engineering (Sheffield) |
Funding Information: | Funder Grant number LEVERHULME TRUST (THE) NONE |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 09 Mar 2017 15:49 |
Last Modified: | 29 Mar 2018 11:42 |
Status: | Unpublished |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:108949 |