Abstract
By analogy with the Reynolds-averaged turbulence model, a subgrid-scale (SGS) model of turbulence with structural effect incorporated through the helicity is proposed. The SGS helicity implemented into the SGS stress is expected to suppress “too dissipative” properties of the Smagorinsky-type model applied to turbulence with coherent structures. Three types of helicity SGS models (two-, one-, and zero-equation models) are constructed depending on how many equations for the SGS statistical quantities should be solved in addition to the grid-scale (GS) momentum equation.
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References
H. Kobayashi, The subgrid-scale models based on coherent structures for rotating homogeneous turbulence and turbulent channel flow. Phys. Fluids 17, 045104-1–045104-12 (2005)
S.K. Robinson, Coherent motions in the turbulent boundary layer. Annu. Rev. Fluid Mech. 23, 601–639 (1991)
J.M. Wallace, Highlights from 50 years of turbulent boundary layer research. Annu. Rev. Fluid Mech. 13, 53-1–53-70 (2013)
N. Yokoi, A. Yoshizawa, Statistical analysis of effects of helicity in inhomogeneous turbulence. Phys. Fluids A 5, 464–477 (1993)
N. Yokoi, A. Brandenburg, Large-scale flow generation by inhomogeneous helicity. Phys. Rev. E 93, 033125-1–033125-14 (2016)
Y. Li, C. Meneveau, S. Chen, G.L. Eyink, Subgrid-scale modeling of helicity and energy dissipation in helical turbulence. Phys. Rev. E 74, 026310-1–026310-13 (2006)
C. Yu, Z. Xiao, Y. Shi, S. Chen, Joint-constraint model for large-eddy simulation of helical turbulence. Phys. Rev. E 89, 043021-1–043021-12 (2014)
Acknowledgements
Numerical simulations for the validation of the SGS model are performed on the XC-30 of Center for Computational Astrophysics (CfCA), National Astronomical Observatory of Japan (NAOJ). Part of this work was supported by the JSPF Bilateral Project between Japan and Russia.
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Yokoi, N., Yoshizawa, A. (2017). Subgrid-Scale Model with Structural Effects Incorporated Through the Helicity. In: Örlü, R., Talamelli, A., Oberlack, M., Peinke, J. (eds) Progress in Turbulence VII. Springer Proceedings in Physics, vol 196. Springer, Cham. https://doi.org/10.1007/978-3-319-57934-4_17
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DOI: https://doi.org/10.1007/978-3-319-57934-4_17
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