A regularized finite volume numerical method for the extended porous medium equation relevant to moisture dynamics with evaporation in non-woven fibrous sheets

Hidekazu Yoshioka, Dimetre Triadis

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

The extended porous medium equation (PME) is a degenerate nonlinear diffusion equation that effectively describes moisture dynamics with evaporation in non-woven fibrous sheets. We propose a new finite volume numerical model of the extended PME incorporating regularization of nonlinear degenerate terms, and apply it to test cases for verification of accuracy, stability, and versatility. One of the test cases considered is a new exact steady solution of the extended PME. We also examine a differential equation-based adaptive re-meshing technique for resolving sharp transitions of solution profiles that may be optionally incorporated into the procedure above. The computational results demonstrate satisfactory accuracy of the proposed numerical model, with reasonable reproduction of complicated moisture dynamics involving sharp transitions and divorce of supports.

Original languageEnglish
Title of host publicationModel Design and Simulation Analysis - 15th International Conference, AsiaSim 2015, Revised Selected Papers
EditorsSyng Yup Ohn, Sung Do Chi
PublisherSpringer Verlag
Pages3-16
Number of pages14
ISBN (Print)9789811021572
DOIs
Publication statusPublished - Jan 1 2016
Externally publishedYes
Event15th International Conference on Asia Simulation, AsiaSim 2015 - Jeju, Korea, Republic of
Duration: Nov 4 2015Nov 7 2015

Publication series

NameCommunications in Computer and Information Science
Volume603
ISSN (Print)1865-0929

Other

Other15th International Conference on Asia Simulation, AsiaSim 2015
CountryKorea, Republic of
CityJeju
Period11/4/1511/7/15

All Science Journal Classification (ASJC) codes

  • Computer Science(all)
  • Mathematics(all)

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    Yoshioka, H., & Triadis, D. (2016). A regularized finite volume numerical method for the extended porous medium equation relevant to moisture dynamics with evaporation in non-woven fibrous sheets. In S. Y. Ohn, & S. D. Chi (Eds.), Model Design and Simulation Analysis - 15th International Conference, AsiaSim 2015, Revised Selected Papers (pp. 3-16). (Communications in Computer and Information Science; Vol. 603). Springer Verlag. https://doi.org/10.1007/978-981-10-2158-9_1