Error estimates of splitting Galerkin methods for heat and sweat transport in textile materials

Yanren Hou, Buyang Li, Weiwei Sun

Research output: Journal article publicationJournal articleAcademic researchpeer-review

35 Citations (Scopus)

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.
Original languageEnglish
Pages (from-to)88-111
Number of pages24
JournalSIAM Journal on Numerical Analysis
Volume51
Issue number1
DOIs
Publication statusPublished - 17 Apr 2013
Externally publishedYes

Keywords

  • Error estimates
  • Fibrous porous media
  • Heat and sweat transfer
  • Splitting FEM
  • Strongly coupled

ASJC Scopus subject areas

  • Numerical Analysis

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