Search Constraints

Start Over
Filtering by: Creator Wight, Ronald P. Remove constraint Creator: Wight, Ronald P. Advisor Guenther, Ronald B. Remove constraint Advisor: Guenther, Ronald B. Degree Level Master's Remove constraint Degree Level: Master's

Search Results

  • 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

  • Electro-magneto-hydrodynamics : the processes of electric arc steelmaking

    Creator:
    King, Paul E. (Paul Everson), 1962-
    Abstract:
    Because of competition from abroad, the U. S. Steel industry has begun research into the processes involved with electric arc steelmaking. This paper addresses the mathematical background of these furnaces and the electro-magneto- hydrodynamical effects used to melt the large quantities of steel. A classical approach to the derivation of...
    Resource Type:
    Masters Thesis
    Full Text:
    = 1i(X,t) = transformation from moving frame to fixed frame = 11(x,t) = inverse transformation p = p

  • The numerical computations in the neighborhood of isolated singularities with applications

    Creator:
    Wong, Anita Yuen-ling
    Abstract:
    In this thesis, problems arising in pumping fluids from the ground are treated. The mathematical theory is derived for both the time dependent and independent cases. A numerical method is developed to solve these problems. Some particular examples are presented and computer plots are drawn to illustrate the movement of...
    Resource Type:
    Masters Thesis
    Full Text:
    Q. B (y) The ball centered at y with radius p, i.e. B (y) = {x lx-y < C k ' (Qx(0,T]) The set of

  • A predictor-corrector method for solving the diffusion equation for water movement in unsaturated soil

    Creator:
    Ng, Benedict Loil-Chong
    Abstract:
    The study of water movement in unsaturated soils by using appropriate diffusion equations has attracted considerable attention in recent years. In this study, a numerical technique is developed for solving a generalized, dimensionless diffusion equation by the use of a digital. computer. Diffusivity and capillary conductivity equations derived by Brooks...
    Resource Type:
    Masters Thesis
    Full Text:
    Abstract approved: Professor Ronald B. Guenther The study of water movement in unsaturated soils by

  • The nonlinear wavemaker problem

    Creator:
    Owen, Amy M.
    Abstract:
    The two dimensional wavemaker problem on a finite domain is derived for nonlinear waves. A numerical method based on the method of lines is developed and applied to two test problems, the nonlinear surface pressure distribution problem and the nonlinear full-flap wavemaker problem. The solutions yield information about the fluid...
    Resource Type:
    Masters Thesis
    Full Text:
    . Title: The Nonlinear Wavemaker Problem Abstract approved: Redacted for privacy Ronald B. Guenther The

  • Computation of the stresses on a rigid body in exterior stokes and oseen flows

    Creator:
    Schuster, Markus
    Abstract:
    This paper is about the computation of the stresses on a rigid body from a knowledge of the far field velocities in exterior Stokes and Oseen flows. The surface of the body is assumed to be bounded and smooth, and the body is assumed to move with constant velocity. We...
    Resource Type:
    Masters Thesis
    Full Text:
    Rigid Body in Exterior Stokes and Oseen Flows Abstract approved- Ronald B. Guenther This paper is

  • 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

  • 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 violin's sound : a mathematical exploration employing principles of continuum mechanics and numerical methods

    Creator:
    Gyde, Nina J.
    Abstract:
    This thesis explores the vibrational behavior of the main components of sound production in the violin using a continuum mechanics approach. The author provides a mathematical description of the regions in the vibrating continuum, and begins to develop a system of equations governing their behavior, focusing on the air in...
    Resource Type:
    Masters Thesis
    Full Text:
    Exploration Employing Principles of Continuum Mechanics and Numerical Methods Abstract approved: Ronald B

  • 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