A Mathematical Analysis of Scale Similarity

作     者：Z.J.Wang Yanan Li 

作者机构：Department of Aerospace EngineeringUniversity of Kansas2120 Learned HallLawrenceKS 66045USA 

出 版 物：《Communications in Computational Physics》 (计算物理通讯（英文）)

年 卷 期：2017年第21卷第1期

页      面：149-161页

核心收录：

学科分类：080704[工学-流体机械及工程] 080103[工学-流体力学] 08[工学] 0807[工学-动力工程及工程热物理] 0704[理学-天文学] 0702[理学-物理学] 0801[工学-力学（可授工学、理学学位）] 

基　　金：The authors gratefully acknowledge the support by NASA under grant NNX12AK04A monitored by Dr.H.T.Huynh and AFOSR under grant FA95501210286 managed by Dr.Fariba Fahroo 

主　　题：Scale similarity large eddy simulation sub-grid scale models 

摘      要：Scale similarity is found in many natural phenomena in the universe,from fluid dynamics to *** large eddy simulations of turbulent flows,some sub-grid scale(SGS)models are based on scale *** earliest scale similarity SGS model was developed by Bardina et al.,which produced SGS stresses with good correlation to the true *** the present study,we perform a mathematical analysis of scale *** analysis has revealed that the ratio of the resolved stress to the SGS stress is g2,where g is the ratio of the second filter width to the first filter width,under the assumption of small filter *** implications of this analysis are discussed in the context of large eddy simulation.