UPSCALING OF REACTIVE FLOWS IN DOMAINS WITH MOVING OSCILLATING BOUNDARIES

被引：13

作者：

Kumar, Kundan ^{[1
]}

van Noorden, Tycho ^{[2
]}

Pop, Iuliu Sorin ^{[1
]}

机构：

[1] Tech Univ Eindhoven, CASA, NL-5600 MB Eindhoven, Netherlands

[2] Dept Math, Chair Appl Math 1, D-91058 Erlangen, Germany

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2014年 / 7卷 / 01期

关键词：

Homogenization; rough boundaries; free boundaries; reactive flow; adsorption/desorption; matched asymptotic; effective boundary condition; EFFECTIVE DISPERSION EQUATIONS; POROUS-MEDIA; CRYSTAL DISSOLUTION; PRECIPITATION;

D O I：

10.3934/dcdss.2014.7.95

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the flow and transport of chemically reactive substances (precursors) in a channel over substrates having complex geometry. In particular, these substrates are in the form of trenches forming oscillating boundaries. The precursors react at the boundaries and get deposited. The deposited layers lead to changes in the geometry and are explicitly taken into account. Consequently, the system forms a free boundary problem. Using formal asymptotic techniques, we obtain the upscaled equations for the system where these equations are defined on a domain with flat boundaries. This provides a huge gain in computational time. Numerical experiments show the effectiveness of the upscaling process.

引用

页码：95 / 111

页数：17

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