A numerical method to stefan problems and its application to the flow through porous media

Tatsuyuki Nakaki, Hideki Murakawa

Research output: Contribution to conferencePaper

1 Citation (Scopus)

Abstract

Approximation methods to the classical one-phase Stefan problems and the porous medium equations are proposed. The basic idea of our methods is to use singular limit solutions to some reaction-diffusion systems. The advantages of our methods is that moving boundaries can be easily and clearly captured in multi-dimensional cases at low computational cost. Some numerical solutions by our methods are demonstrated.

Original languageEnglish
Publication statusPublished - Dec 1 2004
EventEuropean Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2004 - Jyvaskyla, Finland
Duration: Jul 24 2004Jul 28 2004

Other

OtherEuropean Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2004
CountryFinland
CityJyvaskyla
Period7/24/047/28/04

All Science Journal Classification (ASJC) codes

  • Artificial Intelligence
  • Applied Mathematics

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    Nakaki, T., & Murakawa, H. (2004). A numerical method to stefan problems and its application to the flow through porous media. Paper presented at European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2004, Jyvaskyla, Finland.