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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

  • Thermodynamic correction for salts in variably saturated porous media

    Creator:
    Burns, Erick R.
    Abstract:
    Using thermodynamic principles, the general relationship describing the equilibrium vapor content in the gas phase above a saline liquid and across a curved liquid-gas interface is developed. Since high salt concentration also affects the intensive and extensive liquid properties, it is also necessary to account for these effects in liquid...
    Resource Type:
    Masters Thesis
    Full Text:
    years, and his conceptual model of flow of salts in unsaturated porous media formed the foundation upon

  • 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

  • Stochastic analysis of flow and transport in porous media

    Creator:
    Vasylkivska, Veronika S.
    Abstract:
    Random fields are frequently used in computational simulations of real-life processes. In particular, in this work they are used in modeling of flow and transport in porous media. Porous media as they arise in geological formations are intrinsically deterministic but there is significant uncertainty involved in determination of their properties...
    Resource Type:
    Dissertation
    Full Text:
    appreciate the fact that I didn’t need to write the deterministic solvers for model problems since they were

  • Multiscale analysis of saturated flow in a porous medium with an adjacent thin channel

    Creator:
    Morales, Fernando A.
    Abstract:
    This thesis contains three parts addressing the asymptotic analysis of fluid flow through fully saturated porous medium in the presence of an adjacent thin channel. In the first part the problem is modeled by Darcy's law in both the porous medium and in the channel. The permeability in the channel...
    Resource Type:
    Dissertation
    Full Text:
    - ciple. A fully-coupled model with a lower dimensional interface problem is obtained in the limit as an