Index Catalog // ScholarsArchive@OSU

Creator:: Costa, Timothy B.
Abstract:: In this work we consider two multiscale applications with tremendous computational complexity at the lower scale. First, we examine a model for charge transport in semicon- ductor structures with heterojunction interfaces. Due to the complex physical phenomena at the interface, the model at the design scale is unable to adequately...
Resource Type:: Dissertation
Full Text:: Wildenschild. Further I’d like to thank Dr. Anthony Costa, Dr. Justin Webster and Dr. Duncan McGregor for

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
Full Text:: Illustration of D superimposed in D∗ for horizontal flow. . . . . . . . . . . . . . . . . . 19 2.10 (a

Creator:: Umhoefer, Joseph G.
Abstract:: In this thesis we study mathematical and computational models for phenomena of flow and transport in porous media in the presence of changing pore scale geometries. The differential equations for the flow and transport models at Darcy scale involve the coefficients of permeability, porosity, and tortuosity which depend on the...
Resource Type:: Dissertation
Full Text:: equilibrium examples with d = 1 . . . . . . . . . 16 2.4.2 Cell-centered finite differences for Poisson’s

Creator:: Alhammali, Azhar S. A.
Abstract:: In this work we consider a mathematical and computational model for biofilm growth and nutrient utilization. In particular, we are interested in a model appropriate at a scale of interface. The model is a system of two coupled nonlinear diffusion--reaction partial differential equations (PDEs). One of these PDEs is subject...
Resource Type:: Dissertation
Full Text:: with Dirichlet Boundary Conditions. 100 4.2.2.2 Convergence rate and simulations in d = 2

ScholarsArchive@OSU