Error estimates of splitting Galerkin methods for heat and sweat transport in textile materials
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Author(s)
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Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 88-111 |
| Journal / Publication | SIAM Journal on Numerical Analysis |
| Volume | 51 |
| Issue number | 1 |
| Online published | 2 Jan 2013 |
| Publication status | Published - 2013 |
Link(s)
| DOI | DOI |
|---|---|
| Attachment(s) | Documents
Publisher's Copyright Statement
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| Link to Scopus | https://www.scopus.com/record/display.uri?eid=2-s2.0-84876147345&origin=recordpage |
| Permanent Link | https://scholars.cityu.edu.hk/en/publications/publication(cfaa4504-9e8e-4da1-9c95-37c5167188d8).html |
Abstract
This paper is concerned with a single-component model of heat and vapor (sweat) transport through three-dimensional porous textile materials with phase change, which is described by a nonlinear, degenerate, and strongly coupled parabolic system. An uncoupled (splitting) Galerkin method with semi-implicit Euler scheme in time direction is proposed for the system. In this method, a linearized scheme is applied for the approximation to Darcy's velocity simultaneously in the mass and energy equations, which leads to physical conservation of the method in the flow convection. The existence and uniqueness of solution of the finite element system is proved and the optimal error estimate in an energy norm is obtained. Numerical results are presented to confirm our theoretical analysis and are compared with experimental data. © 2013 Society for Industrial and Applied Mathematics.
Research Area(s)
- Error estimates, Fibrous porous media, Heat and sweat transfer, Splitting FEM, Strongly coupled
Citation Format(s)
Error estimates of splitting Galerkin methods for heat and sweat transport in textile materials. / Hou, Yanren; Li, Buyang; Sun, Weiwei.
In: SIAM Journal on Numerical Analysis, Vol. 51, No. 1, 2013, p. 88-111.
In: SIAM Journal on Numerical Analysis, Vol. 51, No. 1, 2013, p. 88-111.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
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