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Filtering by: Subject Fluid dynamics -- Mathematical models Remove constraint Subject: Fluid dynamics -- Mathematical models Degree Field Mathematics Remove constraint Degree Field: Mathematics

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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:
    decomposition methods that decouple the interface computation from the macroscale model. For the fluid flow

  • Interpolation Schemes for Two Dimensional Flow with Applications

    Creator:
    Umhoefer, Joseph G.
    Abstract:
    In this thesis we study a numerical analysis problem motivated by the need to simulate an event such as an oil spill in a deep water environment. Numerical simulation can help to mitigate the disastrous effects of such events by aiding the management of risk assessment and recovery efforts. However,...
    Resource Type:
    Masters Thesis
    Full Text:
    algorithms that provide a smooth field from given discrete data. The Blowout and Spill Occurrence Model

  • 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

  • A free boundary value problem for the gas dynamic equations

    Creator:
    Gerlach, Jurgen
    Abstract:
    We discuss a mathematical model arising from the following physical situation. We consider a gas-filled cylinder with a piston at one end whose motion is determined by the pressure of the gas within the cylinder and by external forces. Zero mass flux is assumed at the piston while the mass...
    Resource Type:
    Dissertation

  • 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:
    fluid velocity in the channel, which is a more accurate model for the faster flow. The two laws have