Index Catalog // ScholarsArchive@OSU

Solutions to some linear evolutionary systems of equations : study of the double porosity model of fluid flow in fractured rock and its applications.

Creator:: Bodvarsson, Gudrun M.
Abstract:: The present work is a study of three degenerate, linear parabolic systems of equations, each of which represents a version of the so-called double porosity model for underground fluid flows in natural fractured rock. These systems of equations together with initial and boundary conditions describe single-phase flows in fluids, slightly...
Resource Type:: Dissertation

Numerical computation of free surface water flow

Creator:: Kuhnert, Jorg
Abstract:: The present thesis is a report of investigations on a model for computing the water flow in the wave tank of the OSU Wave Laboratory. A wave board, established at one end of the 100 m long, 4 m wide and 6 m deep wave tank, produces water waves by...
Resource Type:: Masters Thesis

Mathematical aspects of the flow of gases underground

Creator:: DuBeau, Donald Gene
Abstract:: See pdf.
Resource Type:: Dissertation

A free boundary value problem modeling streambed erosion

Creator:: Helfenstein, Franz Hugo
Abstract:: Our purpose is twofold, to derive a 2-dimensional model of streambed erosion and to develop a solution procedure to solve the equations of our model. The flow domain, which varies in time, is bounded above by a free surface and is bounded below by an erodable streambed. An initial flow...
Resource Type:: Dissertation
Full Text:: derive a 2dimensional model of streambed erosion and to develop a solution procedure to solve the

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:: mathematics, a mathematical model must first be made. The accuracy of the computed results depend on how

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:: to explain the above phenomenon. A mathematical model, as well as the physical model mentioned above

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

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:: wave has traveled three depth lengths. The mathematical representation of these effects are called

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:: authors venture into the complexities of the resonant chamber. There is no mathematical model which can

Nonlinear free boundary problems arising from melting processes

Creator:: Park, Tae-soon
Abstract:: We discuss a mathematical model arising in the melting of a fluid in two spatial dimensions and in time. The model leads to a free boundary value problem for determining the location of the interface as well as the temperature distribution. The movement of the interface depends on the temperatures,...
Resource Type:: Dissertation

ScholarsArchive@OSU

Solutions to some linear evolutionary systems of equations : study of the double porosity model of fluid flow in fractured rock and its applications.

Numerical computation of free surface water flow

Mathematical aspects of the flow of gases underground

A free boundary value problem modeling streambed erosion

The nonlinear wavemaker problem

The hydrodynamic theory of mass transport and matter forces of water

A nonlinear free boundary value problem

Boundary value problem for the rectangular wavemaker

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

Nonlinear free boundary problems arising from melting processes

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