Euler angle and axis-“Fingerprints” of a subgrid-scale stress model

Zixuan Yang, Bing Chen Wang

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The concepts of Euler angle and axis are utilized to investigate the relative rotation between the eigenframes of the deviatoric subgrid-scale (SGS) stress tensor −τd ij and the resolved strain rate tensor Sij. Both Euler angle and axis are “natural invariants” of fluid tensors, which uniquely describe the relative rotation between eigenframes of two tensors. The Euler angle and axis can be regarded as “fingerprints” of a SGS stress model and have a profound implication for structural modeling of the SGS stress tensor. As an application, three SGS models are tested in the context of turbulent channel flows. The proposed Euler angle and axis are proven to be effective for demonstrating geometrical properties of a SGS stress model.

Original languageEnglish (US)
Title of host publicationProgress in Turbulence VI - Proceedings of the iTi Conference on Turbulence 2014
EditorsAlessandro Talamelli, Joachim Peinke, Gerrit Kampers, Martin Oberlack, Marta Wacławczyk
PublisherSpringer Science and Business Media, LLC
Pages59-63
Number of pages5
ISBN (Print)9783319291291
DOIs
StatePublished - Jan 1 2016
Event6th International Conference on Progress in Turbulence, iTi 2014 - Warsaw, Poland
Duration: Aug 29 2014Aug 29 2014

Publication series

NameSpringer Proceedings in Physics
Volume165
ISSN (Print)0930-8989
ISSN (Electronic)1867-4941

Other

Other6th International Conference on Progress in Turbulence, iTi 2014
CountryPoland
CityWarsaw
Period8/29/148/29/14

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