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Description
The goal of this project was to examine the separatricies that define regions of distinct flow behaviors in realistic time-dependent dynamical systems. In particular, we adapted previously available methods for computing the Finite-Time Lyapunov Exponent (FTLE) to a set of measured wind velocity data in order to visualize the separatricies

The goal of this project was to examine the separatricies that define regions of distinct flow behaviors in realistic time-dependent dynamical systems. In particular, we adapted previously available methods for computing the Finite-Time Lyapunov Exponent (FTLE) to a set of measured wind velocity data in order to visualize the separatricies as ridges of the FTLE field in a section of the atmosphere. This visualization required a number of alterations to the original methods, including interpolation techniques and two different adaptive refinement schemes for producing more detailed results. Overall, there were two computations performed with the wind velocity data: once along a single spherical surface, on which the separatricies could be visualized as material lines, and then along a three-dimensional section of the atmosphere, for which the separatricies were material surfaces. The resulting figures provide an image of the Antarctic polar vortex from the wind velocity data, which is consistent with other data gathered on the same date.
ContributorsUpton, James Thomas (Author) / Tang, Wenbo (Thesis director) / Moustaoui, Mohamed (Committee member) / Barrett, The Honors College (Contributor) / School of International Letters and Cultures (Contributor) / School of Mathematical and Statistical Sciences (Contributor) / Department of Physics (Contributor)
Created2014-05
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Description
This thesis shows analyses of mixing and transport patterns associated with Hurricane Katrina as it hit the United States in August of 2005. Specifically, by applying atmospheric velocity information from the Weather Research and Forecasting System, finite-time Lyapunov exponents have been computed and the Lagrangian Coherent Structures have been identified.

This thesis shows analyses of mixing and transport patterns associated with Hurricane Katrina as it hit the United States in August of 2005. Specifically, by applying atmospheric velocity information from the Weather Research and Forecasting System, finite-time Lyapunov exponents have been computed and the Lagrangian Coherent Structures have been identified. The chaotic dynamics of material transport induced by the hurricane are results from these structures within the flow. Boundaries of the coherent structures are highlighted by the FTLE field. Individual particle transport within the hurricane is affected by the location of these boundaries. In addition to idealized fluid particles, we also studied inertial particles which have finite size and inertia. Basing on established Maxey-Riley equations of the dynamics of particles of finite size, we obtain a reduced equation governing the position process. Using methods derived from computer graphics, we identify maximizers of the FTLE field. Following and applying these ideas, we analyze the dynamics of inertial particle transport within Hurricane Katrina, through comparison of trajectories of dierent sized particles and by pinpointing the location of the Lagrangian Coherent Structures.
ContributorsWake, Christian (Author) / Tang, Wenbo (Thesis director) / Moustaoui, Mohamed (Committee member) / Kostelich, Eric (Committee member) / Barrett, The Honors College (Contributor) / College of Liberal Arts and Sciences (Contributor)
Created2012-12
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Description
Meteorology is an uncommon term rarely resonating through elementary classrooms. However, it is a concept found in both fourth and sixth grade Arizona science standards. As issues involving the environment are becoming more pertinent, it is important to study and understand atmospheric processes along with fulfilling the standards for each

Meteorology is an uncommon term rarely resonating through elementary classrooms. However, it is a concept found in both fourth and sixth grade Arizona science standards. As issues involving the environment are becoming more pertinent, it is important to study and understand atmospheric processes along with fulfilling the standards for each grade level. This thesis project teaches the practical skills of weather map reading and weather forecasting through the creation and execution of an after school lesson with the aide of seven teen assistants.
ContributorsChoulet, Shayna (Author) / Walters, Debra (Thesis director) / Oliver, Jill (Committee member) / Balling, Robert (Committee member) / Barrett, The Honors College (Contributor) / College of Liberal Arts and Sciences (Contributor)
Created2012-12
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Description

High levels of surface ozone pollution have been shown to have adverse effects on human health and our environment. For at least the past decade, ozone concentrations in Phoenix, Arizona have been above the federal health standard, set in place by the Environmental Protection Agency. It is crucial that all

High levels of surface ozone pollution have been shown to have adverse effects on human health and our environment. For at least the past decade, ozone concentrations in Phoenix, Arizona have been above the federal health standard, set in place by the Environmental Protection Agency. It is crucial that all factors contributing to rising tropospheric ozone levels within the Phoenix metropolitan area are analyzed to better understand this risk for future mitigation efforts. Consequently, the primary objective of this study is specifically to examine meteorological factors' influence on Phoenix’s ground level ozone by comparing days of ozone exceedances with ozone non-exceedances days over the course of 2010-2020. To carry out this research, various weather conditions for both exceedance and non-exceedance ozone days were studied using unpaired Student’s t-tests and Pearson product-moment correlation tests. The results of this study suggest that the most significant factors that are associated with the occurrence of surface ozone exceedances in Phoenix are wind speed and temperature, whereas the least significant variables are wind direction and sky conditions. This indicates that more stable synoptic conditions in which skies are clearer, allowing for higher temperatures and more stagnant air movement, are ideal for ozone production leading to an ozone exceedance. The results from this honors thesis will be useful as it will aid in greater understanding of the relationship between Phoenix’s surface ozone and weather, aiding future ozone forecasting.

ContributorsLeffel, Jessica (Author) / Cerveny, Randall (Thesis director) / Pace, Matthew (Committee member) / Krahenbuhl, Dan (Committee member) / Barrett, The Honors College (Contributor) / School of International Letters and Cultures (Contributor) / Hugh Downs School of Human Communication (Contributor) / School of Geographical Sciences and Urban Planning (Contributor)
Created2022-05