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Filtering by: Subject Investments -- Mathematical models Remove constraint Subject: Investments -- Mathematical models Resource Type Dissertation Remove constraint Resource Type: Dissertation Subject Fluid dynamics -- Mathematical models Remove constraint Subject: Fluid dynamics -- Mathematical models

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  • Simple models for the structure and dynamics of polyatomic fluids

    Creator:
    James, Corinne Patricia
    Abstract:
    Three areas of liquid state theory are considered. First, Monte Carlo computer simulation of a two-dimensional hard disk fluid with an imbedded ellipse was undertaken to determine how a non-spherical molecule affects intermolecular ordering. The elliptical molecule (with axial ratios of 2, 5 and 10) altered the isotropic distribution of...
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    Dissertation
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    investigated using the Rouse-Zimm model, the rotational isomeric state model and Brownian dynamics computer

  • 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
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    of a mathematical model describing physical phenomena has been to trade resolution for scale. This

  • Physical processes that control droplet transport in rock fracture systems

    Creator:
    Hay, Katrina M.
    Abstract:
    Aquifer recharge is generally driven by fluids that move from the Earth’s surface to groundwater through the unsaturated zone, also known as the vadose zone. When the vadose zone is fractured, fluids, which may include contaminants, can move through the fracture network as well as the porous matrix. Such a...
    Resource Type:
    Dissertation
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    empirical coefficient of proportionality, β, in Bico et al.’s diffusion model. The goal of the mathematical

  • A numerical study of inertial flow features in moderate Reynolds number flow through packed beds of spheres

    Creator:
    Finn, Justin Richard
    Abstract:
    In this work, flow through synthetic arrangements of contacting spheres is studied as a model problem for porous media and packed bed type flows. Direct numerical simulations are performed for moderate pore Reynolds numbers in the range, 10 ≤ Re ≤ 600, where non-linear porescale flow features are known to...
    Resource Type:
    Dissertation
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    contacting spheres is studied as a model problem for porous media and packed bed type flows. Direct numeri

  • Quantifying linear disturbance growth in periodic and aperiodic systems

    Creator:
    Wolfe, Christopher Lee
    Abstract:
    The mathematical and physical connections between three different ways of quantifying linear predictability in geophysical fluid systems are studied in a series of analytical and numerical models. Normal modes, as they are traditionally formulated in the instabilities theories of geophysical fluid dynamics, characterize the asymptotic development of disturbances to stationary...
    Resource Type:
    Dissertation
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    Disturbance Growth in Periodic and Aperiodic Systems Abstract approved: Roger M. Samelson The mathematical

  • 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