Characteristic times in a three scale model with overlapping domain decomposition

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:318

Article

Goessens, Tineke¹  Constales, Denis¹ 

[1] Univ Ghent, Fac Engn & Architecture, Res Grp NaM2, Dept Math Anal, Krijgslaan 281-S22, Ghent, Belgium

关键词: Diffusion;    Textile modeling;    Multiscale modeling;    Controlled release;    Characteristic time;   

DOI  :  10.1016/j.cam.2016.01.031

来源: Elsevier

【 摘 要 】

A three-scale diffusion model for textiles was given in Goessens et al. (2015): consisting of a fiber, yarn and room model. To analyze and simplify the model, its characteristic times were investigated in Goessens et al. (2015) [8, 9]. At these times the fiber and yarn model, and the yarn and room model, respectively, tend to reach a partial equilibrium concentration. Here an addition will be made to the model based upon the previous work. An overlap zone is considered between the yarn and room level. Then the overlapping domain decomposition technique is used to calculate the exchange of active ingredient from one level to another in this zone. The mass balance for the system with the overlap zone is calculated and tested in C-language. (C) 2016 Elsevier B.V. All rights reserved.

【 授权许可】

Free