A Leap-Frog Finite Difference Method for Strongly Coupled System from Sweat Transport in Porous Textile Media
In this paper, we present an uncoupled leap-frog finite difference method for the system of equations arising from sweat transport through porous textile media. Based on physical mechanisms, the sweat transport can be viewed as the multicomponent flow that coupled the heat and moisture transfer, suc...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2019-01-01
|
| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2019/8649308 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832555988748599296 |
|---|---|
| author | Qian Zhang Chao Huang |
| author_facet | Qian Zhang Chao Huang |
| author_sort | Qian Zhang |
| collection | DOAJ |
| description | In this paper, we present an uncoupled leap-frog finite difference method for the system of equations arising from sweat transport through porous textile media. Based on physical mechanisms, the sweat transport can be viewed as the multicomponent flow that coupled the heat and moisture transfer, such that the system is nonlinear and strongly coupled. The leap-frog method is proposed to solve this system, with the second order accuracy in both spatial and temporal directions. We prove the existence and uniqueness of the solution to the system with optimal error estimates in the discrete L2 norm. Numerical simulations are presented and analyzed, respectively. |
| format | Article |
| id | doaj-art-53842794a0634d9f92601fa953b9ec96 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-53842794a0634d9f92601fa953b9ec962025-02-03T05:46:37ZengWileyJournal of Mathematics2314-46292314-47852019-01-01201910.1155/2019/86493088649308A Leap-Frog Finite Difference Method for Strongly Coupled System from Sweat Transport in Porous Textile MediaQian Zhang0Chao Huang1College of Mathematics and Statistics, Shenzhen University, ChinaCollege of Mathematics and Statistics, Shenzhen University, ChinaIn this paper, we present an uncoupled leap-frog finite difference method for the system of equations arising from sweat transport through porous textile media. Based on physical mechanisms, the sweat transport can be viewed as the multicomponent flow that coupled the heat and moisture transfer, such that the system is nonlinear and strongly coupled. The leap-frog method is proposed to solve this system, with the second order accuracy in both spatial and temporal directions. We prove the existence and uniqueness of the solution to the system with optimal error estimates in the discrete L2 norm. Numerical simulations are presented and analyzed, respectively.http://dx.doi.org/10.1155/2019/8649308 |
| spellingShingle | Qian Zhang Chao Huang A Leap-Frog Finite Difference Method for Strongly Coupled System from Sweat Transport in Porous Textile Media Journal of Mathematics |
| title | A Leap-Frog Finite Difference Method for Strongly Coupled System from Sweat Transport in Porous Textile Media |
| title_full | A Leap-Frog Finite Difference Method for Strongly Coupled System from Sweat Transport in Porous Textile Media |
| title_fullStr | A Leap-Frog Finite Difference Method for Strongly Coupled System from Sweat Transport in Porous Textile Media |
| title_full_unstemmed | A Leap-Frog Finite Difference Method for Strongly Coupled System from Sweat Transport in Porous Textile Media |
| title_short | A Leap-Frog Finite Difference Method for Strongly Coupled System from Sweat Transport in Porous Textile Media |
| title_sort | leap frog finite difference method for strongly coupled system from sweat transport in porous textile media |
| url | http://dx.doi.org/10.1155/2019/8649308 |
| work_keys_str_mv | AT qianzhang aleapfrogfinitedifferencemethodforstronglycoupledsystemfromsweattransportinporoustextilemedia AT chaohuang aleapfrogfinitedifferencemethodforstronglycoupledsystemfromsweattransportinporoustextilemedia AT qianzhang leapfrogfinitedifferencemethodforstronglycoupledsystemfromsweattransportinporoustextilemedia AT chaohuang leapfrogfinitedifferencemethodforstronglycoupledsystemfromsweattransportinporoustextilemedia |