Homogenization Theory for a Replenishing Passive Scalar Field

作     者：Peter R. KRAMER Shane R. KEATING 

作者机构：Department of Mathematical SciencesRensselaer Polytechnic Institute Center for Atmosphere-Ocean ScienceCourant Institute of Mathematical SciencesNew York University 

出 版 物：《Chinese Annals of Mathematics,Series B》 (数学年刊（B辑英文版）)

年 卷 期：2009年第30卷第5期

页      面：631-644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] 0701[理学-数学] 0801[工学-力学（可授工学、理学学位）] 

基　　金：Project supported by the National Science Foundation "Collaborations in Mathematical Geosciences"(No.OCE-0620956) 

主　　题：Homogenization Turbulent transport Source Pumping 

摘      要：Homogenization theory provides a rigorous framework for calculating the effective diffusivity of a decaying passive scalar field in a turbulent or complex *** authors extend this framework to the case where the passive scalar fluctuations are continuously replenished by a source (and/or sink).The basic structure of the homogenized equations carries over,but in some cases the homogenized source can involve a non-trivial coupling of the velocity field and the *** authors derive expressions for the homogenized source term for various multiscale source structures and interpret them physically.