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

Zixuan Yang; Bing Chen Wang

doi:10.1007/978-3-319-29130-7_10

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

Zixuan Yang, Bing Chen Wang

Mechanical Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference 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 −τ^d _ij and the resolved strain rate tensor S_ij. 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 language	English (US)
Title of host publication	Progress in Turbulence VI - Proceedings of the iTi Conference on Turbulence 2014
Editors	Alessandro Talamelli, Joachim Peinke, Gerrit Kampers, Martin Oberlack, Marta Wacławczyk
Publisher	Springer Science and Business Media, LLC
Pages	59-63
Number of pages	5
ISBN (Print)	9783319291291
DOIs	https://doi.org/10.1007/978-3-319-29130-7_10
State	Published - Jan 1 2016
Event	6th International Conference on Progress in Turbulence, iTi 2014 - Warsaw, Poland Duration: Aug 29 2014 → Aug 29 2014

Publication series

Name	Springer Proceedings in Physics
Volume	165
ISSN (Print)	0930-8989
ISSN (Electronic)	1867-4941

Other

Other	6th International Conference on Progress in Turbulence, iTi 2014
Country/Territory	Poland
City	Warsaw
Period	8/29/14 → 8/29/14

Publisher link

10.1007/978-3-319-29130-7_10

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Yang, Z., & Wang, B. C. (2016). Euler angle and axis-“Fingerprints” of a subgrid-scale stress model. In A. Talamelli, J. Peinke, G. Kampers, M. Oberlack, & M. Wacławczyk (Eds.), Progress in Turbulence VI - Proceedings of the iTi Conference on Turbulence 2014 (pp. 59-63). (Springer Proceedings in Physics; Vol. 165). Springer Science and Business Media, LLC. https://doi.org/10.1007/978-3-319-29130-7_10

Euler angle and axis-“Fingerprints” of a subgrid-scale stress model. / Yang, Zixuan; Wang, Bing Chen.
Progress in Turbulence VI - Proceedings of the iTi Conference on Turbulence 2014. ed. / Alessandro Talamelli; Joachim Peinke; Gerrit Kampers; Martin Oberlack; Marta Wacławczyk. Springer Science and Business Media, LLC, 2016. p. 59-63 (Springer Proceedings in Physics; Vol. 165).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Yang, Z & Wang, BC 2016, Euler angle and axis-“Fingerprints” of a subgrid-scale stress model. in A Talamelli, J Peinke, G Kampers, M Oberlack & M Wacławczyk (eds), Progress in Turbulence VI - Proceedings of the iTi Conference on Turbulence 2014. Springer Proceedings in Physics, vol. 165, Springer Science and Business Media, LLC, pp. 59-63, 6th International Conference on Progress in Turbulence, iTi 2014, Warsaw, Poland, 8/29/14. https://doi.org/10.1007/978-3-319-29130-7_10

Yang Z, Wang BC. Euler angle and axis-“Fingerprints” of a subgrid-scale stress model. In Talamelli A, Peinke J, Kampers G, Oberlack M, Wacławczyk M, editors, Progress in Turbulence VI - Proceedings of the iTi Conference on Turbulence 2014. Springer Science and Business Media, LLC. 2016. p. 59-63. (Springer Proceedings in Physics). doi: 10.1007/978-3-319-29130-7_10

Yang, Zixuan ; Wang, Bing Chen. / Euler angle and axis-“Fingerprints” of a subgrid-scale stress model. Progress in Turbulence VI - Proceedings of the iTi Conference on Turbulence 2014. editor / Alessandro Talamelli ; Joachim Peinke ; Gerrit Kampers ; Martin Oberlack ; Marta Wacławczyk. Springer Science and Business Media, LLC, 2016. pp. 59-63 (Springer Proceedings in Physics).

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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.",

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

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