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Mathematical Constraints in Multiscale Subgrid-Scale Modeling of Nonlinear Systems |
| Le Fang1,2, Ming-Wei Ge3** |
1Laboratory of Mathematics and Physics, Ecole Centrale de Pékin, Beihang University, Beijing 100191
2Co-Innovation Center for Advanced Aero-Engine, Beihang University, Beijing 100191
3School of Renewable Energy, North China Electric Power University, Beijing 102206
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| Cite this article: |
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Le Fang, Ming-Wei Ge 2017 Chin. Phys. Lett. 34 030501 |
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Abstract To shed light on the subgrid-scale (SGS) modeling methodology of nonlinear systems such as the Navier–Stokes turbulence, we define the concepts of assumption and restriction in the modeling procedure, which are shown by generalized derivation of three general mathematical constraints for different combinations of restrictions. These constraints are verified numerically in a one-dimensional nonlinear advection equation. This study is expected to inspire future research on the SGS modeling methodology of nonlinear systems.
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Received: 21 October 2016
Published: 28 February 2017
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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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| Fund: Supported by the National Natural Science Foundation of China under Grant Nos 11572025, 11202013 and 51420105008. |
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