Extracting and Modeling the Effects of Small-Scale Fluctuations on Large-Scale Fluctuations by Mori–Zwanzig Projection Operator Method
作者: Shinya MaeyamaTomo-Hiko Watanabe
刊名: Journal of the Physical Society of Japan, 2020, Vol.89 (2)
来源数据库: The physical Society of Japan
DOI: 10.7566/JPSJ.89.024401
原始语种摘要: We newly propose a methodology to extract and model the effect of small-scale on large-scale fluctuations, for applications to disparate-scale turbulence problem having energy injections not only at large but also at small scales. For this purpose, we applied the Mori–Zwanzig projection operator method to analyze direct numerical simulation (DNS) data. It allows us to split the cross-scale contributions from cutoff scale into correlated (Markov and memory) and uncorrelated terms with regard to large-scale fluctuations. The present model can represent damping, phase shift, and excitation of large-scale fluctuations by small-scale contributions, which are distinctive features not included in a conventional sub-grid scale model such as an eddy viscosity. An application to the...
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  • scale 度盘
  • uncorrelated 不相关的
  • large 大的
  • projection 投射
  • DNS Distributed Network(services)System
  • application 申请
  • methodology 方法学
  • features 特征
  • energy 能量
  • disparate 根本不同的