Index Catalog // ScholarsArchive@OSU

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:: . OOOOOOOOOOO graph at the 1000th time step for Problem 6 60 58 59 Symbol D LIST OF SYMBOLS Definition

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

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

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

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:: Problem Modeling Streambed Erosion Abstract approved: Ronald B. Guenther Our purpose is twofold, to

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

Initial and boundary value problem for a third order differential equation of parabolic type

Creator:: Al-Ayat, Rokaya Abdel-Ghani
Abstract:: See pdf
Resource Type:: Dissertation
Full Text:: approved: Ronald B. Guenther The third order parabolic differential operator 3 aiu auLu a.(x, t) . - at

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

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

Nonlinear free boundary problems arising from soil freezing in a bounded region

Creator:: Mohamed, Fouad Abd El-Aal
Abstract:: Changes of density occur naturally in phase transition processes and introduce the bulk movement of material. It is customary in analyzing such problems to disregard this unpleasant complication and assume the densities to be equal. However, such changes are unavoidable and for one-dimensional problems the complexities introduced by this bulk...
Resource Type:: Dissertation
Full Text:: approved: Ronald B. Guenth Redacted for Privacy distributions in the unfrozen phase, and (III) the

ScholarsArchive@OSU

The numerical computations in the neighborhood of isolated singularities with applications

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

Thermodynamic correction for salts in variably saturated porous media

Boundary value problem for the rectangular wavemaker

A free boundary value problem modeling streambed erosion

Classical implicit finite difference method for solving diffusion equation

Initial and boundary value problem for a third order differential equation of parabolic type

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

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

Nonlinear free boundary problems arising from soil freezing in a bounded region

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