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Subgrid-Scale Model with Structural Effects Incorporated Through the Helicity

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Progress in Turbulence VII

Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 196))

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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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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Correspondence to Nobumitsu Yokoi .

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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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