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

Tatsuyuki Nakaki, Hideki Murakawa

    Research output: Contribution to conferencePaperpeer-review

    2 Citations (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
    Country/TerritoryFinland
    CityJyvaskyla
    Period7/24/047/28/04

    All Science Journal Classification (ASJC) codes

    • Artificial Intelligence
    • Applied Mathematics

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