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Filtering by: Academic Affiliation Mathematics License All rights reserved Subject Fluid dynamics -- Mathematical models

Hybrid Multiscale Methods with Applications to Semiconductors, Porous Media, and Materials Science

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
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
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