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Filtering by: Creator Bartley, Ronald C. Remove constraint Creator: Bartley, Ronald C. Advisor Guenther, Ronald B. Remove constraint Advisor: Guenther, Ronald B.

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  • Numerical solution of the heat equation by net methods

    Creator:
    Hull, Harry Markwood
    Abstract:
    This thesis examines various net or finite difference methods for solving parabolic partial differential equations in one space variable with constant coefficients. Included in this investigation are explicit, implicit and multi-step methods of varying orders of accuracy. These methods are compared with respect to accuracy, speed, efficiency, stability, simplicity of...
    Resource Type:
    Masters Thesis
    Full Text:
    METHODS Abstract approved: Redacted for Privacy Dr. Ronald B. giu.enthe r This thesis examines various

  • The fractal structure of surface water waves near breaking

    Creator:
    Munzenmayer, Katja
    Abstract:
    The goal of this research project is to determine the fractal nature, if any, which certain surface water waves exhibit when viewed on a microscopic scale. We make use of the mathematical formulation of non-viscous fluids describing their physical properties. Using these expressions and including boundary conditions for free surfaces...
    Resource Type:
    Masters Thesis
    Full Text:
    approved Ronald B. Guenther The goal of this research project is to determine the fractal nature, if any

  • The effects of nonlinearity, viscosity, and temperature in Burgers' equation

    Creator:
    Moore-Mueller, Laura J.
    Abstract:
    An analysis was conducted to determine the effects of nonlinearity in the one dimensional Navier-Stokes equation describing a viscous fluid flow. An attempt was made to numerically determine the effect of temperature variance on the fluid, either by varying the constant viscosity factor in the energy dissipative term in the...
    Resource Type:
    Masters Thesis
    Full Text:
    ACKNOWLEDGEMENTS I would like to extend my deepest appreciation and respect to my major advisor, Professor Ronald

  • 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:
    Variably Saturated Porous Media. Abstract approved: Ronald B. Guenther Using thermodynamic principles

  • Classical implicit finite difference method for solving diffusion equation

    Creator:
    Lee, Martina Shoiw-ling
    Abstract:
    This thesis introduces a technique for approximating to a desired degree of accuracy a linear parabolic equation of two spatial dimensions with given initial data and prescribed boundary conditions. The technique is generalized to non-linear parabolic equations. It is stable for all mesh ratios, and it is second order accurate...
    Resource Type:
    Masters Thesis
    Full Text:
    Privacy Professor Ronald B. Guenther( This thesis introduces a technique for approximating to a de

  • The existence and uniqueness of solutions in a weighted Sobolov space for an initial-boundary problem of a degenerate parabolic equation with principal part in divergence form

    Creator:
    Lee, Hanku
    Resource Type:
    Dissertation
    Full Text:
    with Principal Part in Divergence Form Abstract approved: Ronald B. Guenther In this dissertation I

  • A nonlinear free boundary value problem

    Creator:
    Kharab, Abdelwahab
    Abstract:
    We discuss a mathematical model arising in the filtration of a fluid through a porous medium. The model leads to a free boundary value problem whose governing equation depends on the retention function. A numerical approximation by means of finite elements is used to present an existence and uniqueness theorem...
    Resource Type:
    Dissertation
    Full Text:
    VALUE PROBLEM Abstract approved: Ronald Be Guenther We discuss a mathematical model arising in the

  • The hydrodynamic theory of mass transport and matter forces of water

    Creator:
    Ali, Abdulmuhsen H.
    Abstract:
    In chapter 3 of our paper we present equations of motion for continuous mass distribution subject to hydrodynamic forces in their most general form. We start with equations for discrete mass particles and then transform the equations so that it is appropriate for a continuous mass distribution. As we do...
    Resource Type:
    Dissertation
    Full Text:
    Mass Transport and Matter Forces of Water Abstract approved. Ronald B. Guenther In chapter 3 of our

  • A nonlinear shallow water wave equation and its classical solutions of the cauchy problem

    Creator:
    Crow, John A.
    Abstract:
    A nonlinear wave equation is developed, modeling the evolution in time of shallow water waves over a variable topography. As the usual assumptions of a perfect fluid and an irrotational flow are not made, the resulting model equation is dissipative due to the presence of a viscous boundary layer at...
    Resource Type:
    Dissertation
    Full Text:
    Equation and its Classical Solutions of the Cauchy Problem. Abstract Approved: Professor Ronald B

  • Boundary value problem for the rectangular wavemaker

    Creator:
    Averbeck, Patrick J.
    Abstract:
    The goal of this research is to develop an equation describing the two, dimensional motion of an inviscid incompressible fluid in the rectangular wavemaker of constant depth. The boundary value problem of the rectangle is transformed to the upper half plane with the use of Jacobian elliptical functions. The boundary...
    Resource Type:
    Masters Thesis
    Full Text:
    for Privacy Dr. Ronald B. Guenther, Professor of Mathematics in charge of major Redacted for Privacy