Index Catalog // ScholarsArchive@OSU

Multiphase Flow and Transport in Porous Media with Phase Transition at Multiple Scales: Modeling, Numerical Analysis, and Simulation

Creator:: Shin, Choah
Abstract:: In this dissertation we consider two application specific flow and transport models in porous media at multiple scales: 1) methane gas transport models for hydrate formation and dissociation in the subsurface under two-phase conditions, and 2) coupled flow and biomass-nutrient model for biofilm growth in complex geometries with biofilm, and...
Resource Type:: Dissertation

On the Existence of Solutions to the Incompressible Navier-Stokes Equations with Constant Energy and Enstrophy

Creator:: Hagen, Sarah S.
Abstract:: In this dissertation, we use Fourier-analytic and spectral theory methods to analyze the behavior of solutions of the incompressible Navier-Stokes equations in 2D and 3D (with an eye towards better understanding turbulence). In particular, we investigate the possible existence of so-called ghost solutions to the Navier-Stokes Equations. Such solutions, if...
Resource Type:: Dissertation

On Undular Bores and Solitary Waves in Variable Depth

Creator:: Knowles, Jeffrey N.
Abstract:: Numerical results are presented using a higher-order pseudo-spectral method in order to solve the Zakharov-Craig-Sulem formulation of the Euler model. We study the effects of variable bathymetry on weakly-dispersive, weakly-nonlinear, shallow water waves. Improved predictions on wave amplitude and shoaling behavior are developed by analytical means in the context of...
Resource Type:: Dissertation

Interpolation Schemes for Two Dimensional Flow with Applications

Creator:: Umhoefer, Joseph G.
Abstract:: In this thesis we study a numerical analysis problem motivated by the need to simulate an event such as an oil spill in a deep water environment. Numerical simulation can help to mitigate the disastrous effects of such events by aiding the management of risk assessment and recovery efforts. However,...
Resource Type:: Masters Thesis

3D cone beam reconstruction formulas for the transverse-ray transform with source points on a curve

Creator:: Wongsason, Patcharee
Abstract:: 3D vector tomography has been explored and results have been achieved in the last few decades. Among these was a reconstruction formula for the solenoidal part of a vector field from its Doppler transform with sources on a curve. The Doppler transform of a vector field is the line integral...
Resource Type:: Dissertation

Mathematical treatment and simulation of methane hydrates and adsorption models

Creator:: Medina, Francis Patricia
Abstract:: In this dissertation we develop mathematical treatment for two important applications: (i) evolution of methane in coalbeds with the associated phenomena of adsorption, and (ii) formation of methane hydrates in seabed. We use simplified models for (i) and (ii) since we are more interested in qualitative properties of the solutions...
Resource Type:: Dissertation

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

An investigation of transition from penetration to deflection in the fracture of bi-material interfaces

Creator:: Strom, Joshua L.
Abstract:: The problem of determining whether a crack impinging on an interface will penetrate into the substrate or deflect along the interface is vital to the effective design of layered and composite material systems. Of particular interest is the transition between crack propagation by penetration through an interface and deflection along...
Resource Type:: Masters Thesis

On existence and uniqueness of weak solutions to the Navier-Stokes equations in R3

Creator:: Peterson, Samuel H.
Abstract:: This thesis is on the existence and uniqueness of weak solutions to the Navier-Stokes equations in R3 which govern the velocity of incompressible fluid with viscosity ν. The solution is obtained in the space of tempered distributions on R3 given an initial condition and forcing data which are dominated by...
Resource Type:: Masters Thesis

The Stokes problem of fluid mechanics, Riesz transform, and the Helmholtz-Hodge decomposition : probabilistic methods and their representations

Creator:: Kim, HoeWoon
Abstract:: The flow of incompressible, viscous fluids in R³ is governed by the non-linear Navier-Stokes equations. Two common linearizations of the Navier-Stokes equations, the Stokes equations and the Oseen equations, are studied in this thesis using probabilistic methods. The incompressibility condition presents new challenges for the well known theory relating partial...
Resource Type:: Dissertation

ScholarsArchive@OSU

Multiphase Flow and Transport in Porous Media with Phase Transition at Multiple Scales: Modeling, Numerical Analysis, and Simulation

On the Existence of Solutions to the Incompressible Navier-Stokes Equations with Constant Energy and Enstrophy

On Undular Bores and Solitary Waves in Variable Depth

Interpolation Schemes for Two Dimensional Flow with Applications

3D cone beam reconstruction formulas for the transverse-ray transform with source points on a curve

Mathematical treatment and simulation of methane hydrates and adsorption models

Stochastic analysis of flow and transport in porous media

An investigation of transition from penetration to deflection in the fracture of bi-material interfaces

On existence and uniqueness of weak solutions to the Navier-Stokes equations in R3

The Stokes problem of fluid mechanics, Riesz transform, and the Helmholtz-Hodge decomposition : probabilistic methods and their representations

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