Mathematical Constraints in Multiscale Subgrid-Scale Modeling of Nonlinear Systems

被引：4
作者：
Fang, Le [1 ,2 ]
Ge, Ming-Wei [3 ]
机构：
[1] Beihang Univ, Ecole Cent Pekin, Lab Math & Phys, Beijing 100191, Peoples R China
[2] Beihang Univ, Coinnovat Ctr Adv Aeroengine, Beijing 100191, Peoples R China
[3] North China Elect Power Univ, Sch Renewable Energy, Beijing 102206, Peoples R China
来源：
CHINESE PHYSICS LETTERS | 2017年 / 34卷 / 03期
基金：
中国国家自然科学基金;
关键词：
LARGE-EDDY SIMULATION; VELOCITY INCREMENT; VISCOSITY MODEL;
D O I：
10.1088/0256-307X/34/3/030501
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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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页数：4
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