Open Access. Powered by Scholars. Published by Universities.®
Physical Sciences and Mathematics Commons™
Open Access. Powered by Scholars. Published by Universities.®
Articles 1 - 6 of 6
Full-Text Articles in Physical Sciences and Mathematics
Understanding The Flow Structure Of Low Reynolds Number Flows, Albert Jarvis
Understanding The Flow Structure Of Low Reynolds Number Flows, Albert Jarvis
Theses, Dissertations and Culminating Projects
Ocean flows and the mechanisms by which their contents are organized has been a longstanding area of interest in applied mathematics. In recent years, a new theory has been developed to identify the structures responsible for the organization of fluid particles within complex geophysical flows. This theory is known as the theory of Lagrangian Coherent Structures (LCS) and details which structures are responsible for the organization of the flow and how to identify them. Being able to identify these LCS in real time has far reaching implications ranging from developing strategies for search and rescue missions to identifying the best …
Dynamics Of Coupled Particles In A Time-Dependent, Double-Gyre Flow, Manuel Albrizzio
Dynamics Of Coupled Particles In A Time-Dependent, Double-Gyre Flow, Manuel Albrizzio
Theses, Dissertations and Culminating Projects
We consider a time-dependent, wind-driven, stochastic double-gyre flow, and investigate the interaction between the flow and coupled particles operating within the flow. It is known that noise can cause individual particles to escape from one gyre to another gyre. By computing the Lagrangian coherent structures (LCS) of the system, one can determine low and high probability regions of particle escape. We adjust the coupling between two particles, and study the effect on particle escape for a variety of initial conditions and noise intensities.
Analysis Of Daily Precipitation Data From Selected Sites In The United States, Sahar Ahmed
Analysis Of Daily Precipitation Data From Selected Sites In The United States, Sahar Ahmed
Theses, Dissertations and Culminating Projects
Global warming is a contentious topic since modern climate records only exist for the last 100 years in contrast to ice-core analysis that establishes ice ages tens of thousands of years ago. Nevertheless, patterns associated with events such as El Niño Southern Oscillation (ENSO), precipitation, tornadoes, and snowfall amounts over the last century can provide a useful and objective indicator of climate “change”. This project focuses on daily precipitation totals for the state of New Jersey over the last 100 to 150 years from nineteen meteorological recording stations and involves large data sets with a million observations. This research utilizes …
Inertial Particle Transport By Lagrangian Coherent Structures In Geophysical Flows, Alexa Aucoin
Inertial Particle Transport By Lagrangian Coherent Structures In Geophysical Flows, Alexa Aucoin
Theses, Dissertations and Culminating Projects
Lagrangian Coherent Structures (LCS) provide a skeleton for the underlying structures in geophysical flows. It is known that LCS govern the movement of fluid particles within a flow, but it is not well understood how these same LCS influence the movement of inertial particles within a fluid flow. In this thesis, we consider two geophysical flows, the double-gyre model, and a single-layer quasi-geostrophic PDE model. In particular, we use finite-time Lyapunov exponents (FTLE) to characterize the attracting and repelling LCS for these models and show how inertial particles aggregate with respect to LCS. We numerically investigate the dynamics of inertial …
Seasonal Switching Affects Bacterial-Fungal Dominance In An Ecological System, Kristin Carfora
Seasonal Switching Affects Bacterial-Fungal Dominance In An Ecological System, Kristin Carfora
Theses, Dissertations and Culminating Projects
We consider a model inspired by producer-herbivore-decomposer soil food webs and determine the effect of ecological parameters on the decomposer pool. In particular, we observe how seasonal changes in the stoichiometric quality of the producer coupled with the efficiency of herbivory over the calendar year can induce a shift in the composition of the decomposer pool. Decomposers have a significant effect on the movement of essential nutrients throughout an ecosystem; we further determine how this shift between a bacterially dominated decomposer pool and a fungally dominated pool affects primary production and relative distribution of biomass of the other compartments.
The Mechanics And Thermodynamics Of Amyloid Beta Protein Aggregation In Competing Pathways, Edward Steen
The Mechanics And Thermodynamics Of Amyloid Beta Protein Aggregation In Competing Pathways, Edward Steen
Theses, Dissertations and Culminating Projects
The primary purpose of this paper is to investigate the mechanics of Aβ protein aggregation within the brain through mathematical modeling and simulation. Aggregation of Aβ is the cause of plaques within the brain of Alzheimer’s Disease sufferers. Because the pathways of aggregation from monomer to oligomer to polymer are numerous and complex, we have had to simplify our model to a limited number of species. Of great concern, too, is the process by which Aβ can form as “off-pathway” species, which is when Aβ reacts with fatty acid micelles. It is this species of Aβ, which due to its …