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A Closure for Isotropic Turbulence Based on Extended Scale Similarity Theory in Physical Space |
| Chu-Han Wang1, Le Fang1,2** |
1Laboratory of Mathematics and Physics, Ecole Centrale de Pékin, Beihang University, Beijing 100191
2Co-Innovation Center for Advanced Aero-Engine, Beihang University, Beijing 100191
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| Cite this article: |
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Chu-Han Wang, Le Fang 2018 Chin. Phys. Lett. 35 080501 |
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Abstract The closure of a turbulence field is a longstanding fundamental problem, while most closure models are introduced in spectral space. Inspired by Chou's quasi-normal closure method in spectral space, we propose an analytical closure model for isotropic turbulence based on the extended scale similarity theory of the velocity structure function in physical space. The assumptions and certain approximations are justified with direct numerical simulation. The asymptotic scaling properties are reproduced by this new closure method, in comparison to the classical Batchelor model.
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Received: 30 March 2018
Published: 15 July 2018
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| PACS: |
05.45.Pq
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(Numerical simulations of chaotic systems)
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47.11.St
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(Multi-scale methods)
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05.20.Gg
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(Classical ensemble theory)
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47.27.eb
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(Statistical theories and models)
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