Hamilton-Waterloo problem with triangle and C9 factors

The Hamilton-Waterloo problem and its spouse-avoiding variant for uniform cycle sizes asks if Kv, where v is odd (or Kv - F, if v is even), can be decomposed into 2-factors in which each factor is made either entirely of m-cycles or entirely of n-cycles. This thesis examines the case in which r of the factors are made up of cycles of length 3 and s of the factors are made up of cycles of length 9, for any r and s. We also discuss a constructive solution to the general (m,n) case which fixes r and s.

Effect of mesh distortion on the accuracy of high order vorticity-velocity CFD approaches

The numerical solution of the incompressible Navier-Stokes equations offers an alternative to experimental analysis of fluid-structure interaction (FSI). We would save a lot of time and effort and help cut back on costs, if we are able to accurately model systems by these numerical solutions. These advantages are even more obvious when considering huge structures like bridges, high rise buildings or even wind turbine blades with diameters as large as 200 meters. The modeling of such processes, however, involves complex multiphysics problems along with complex geometries. This thesis focuses on a novel vorticity-velocity formulation called the Kinematic Laplacian Equation (KLE) to solve the incompressible Navier-stokes equations for such FSI problems. This scheme allows for the implementation of robust adaptive ordinary differential equations (ODE) time integration schemes, allowing us to tackle each problem as a separate module. The current algortihm for the KLE uses an unstructured quadrilateral mesh, formed by dividing each triangle of an unstructured triangular mesh into three quadrilaterals for spatial discretization. This research deals with determining a suitable measure of mesh quality based on the physics of the problems being tackled. This is followed by exploring methods to improve the quality of quadrilateral elements obtained from the triangles and thereby improving the overall mesh quality. A series of numerical experiments were designed and conducted for this purpose and the results obtained were tested on different geometries with varying degrees of mesh density.

Through the back door : Melungeon literacies and 21st century technologies

The Melungeons, a minority recognized in Southern Appalachia where they settled in the early 1800s, have mixed heritage—European, Mediterranean, Native American, and Sub-Saharan African. Their dark skin and distinctive features have marked them and been the cause of racial persecution both by custom and by law in Appalachia for two centuries. Their marginalization has led to an insider mentality, which I call a “literacy” of Melungeon-ness that affects every facet of their lives. Just a century ago, while specialized practices such as farming, preserving food, hunting, gathering, and distilling insured survival in the unforgiving mountain environment, few Melungeons could read or write. Required to pay property taxes and render military service, they were denied education, suffrage, and other legal rights. In the late 1890s visionary Melungeon leader Batey Collins invited Presbyterian homemissionaries to settle in one Tennessee Melungeon community where they established a church and built a school of unparalleled excellence. Educator-ministers Mary Rankin and Chester Leonard creatively reified the theories of Dewey, Montessori, and Rauschenbusch, but, despite their efforts, school literacy did not neutralize difference. Now, taking reading and writing for granted, Melungeons are exploring their identity by creating websites and participating in listserv discussions. These online expressions, which provide texts for rhetorical, semiotic, and socio-linguistic analysis, illustrate not solidarity but fragmentation on issues of origins and legitimacy. Armed with literacies of difference stemming from both nature and nurture, Melungeons are using literacy practices to embrace the difference they cannot escape.