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Filtering by: Subject Ablative materials -- Mathematical models Remove constraint Subject: Ablative materials -- Mathematical models Committee Member Higdon, Robert Remove constraint Committee Member: Higdon, Robert

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  • Hybrid Multiscale Methods with Applications to Semiconductors, Porous Media, and Materials Science

    Creator:
    Costa, Timothy B.
    Abstract:
    In this work we consider two multiscale applications with tremendous computational complexity at the lower scale. First, we examine a model for charge transport in semicon- ductor structures with heterojunction interfaces. Due to the complex physical phenomena at the interface, the model at the design scale is unable to adequately...
    Resource Type:
    Dissertation
    Full Text:
    of a mathematical model describing physical phenomena has been to trade resolution for scale. This

  • Upscaling non-Darcy flow using mixed finite element method

    Creator:
    Garibotti, Cristiano Rodrigues
    Abstract:
    In this paper we develop an upscaling technique for non-Darcy flow in porous media. Non-Darcy model of flow applies to flow in porous media when large velocities occur. The well-posedness results for theory of quasilinear elliptic partial differential equations. To discretize the model we used lowest order Raviart-Thomas mixed finite...
    Resource Type:
    Masters Thesis
    Full Text:
    this paper we develop an upscaling technique for non-Darcy flow in porous media. Non-Darcy model of