Homogenization theory for a replenishing passive scalar field

被引：0

作者：

Peter R. Kramer

Shane R. Keating

机构：

[1] Rensselaer Polytechnic Institute,Department of Mathematical Sciences

[2] Courant Institute of Mathematical Sciences,Center for Atmosphere

[3] New York University,Ocean Science

来源：

Chinese Annals of Mathematics, Series B | 2009年 / 30卷

关键词：

Homogenization; Turbulent transport; Source; Pumping; 35B27;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Homogenization theory provides a rigorous framework for calculating the effective diffusivity of a decaying passive scalar field in a turbulent or complex flow. The 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 source. The authors derive expressions for the homogenized source term for various multiscale source structures and interpret them physically.

引用

页码：631 / 644

页数：13

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