Selection principles and pattern formation in fluid mechanics and nonlinear shell theory

Research accomplishments are summarized and publications generated under the contract are listed. The general purpose of the research was to investigate various symmetry breaking problems in fluid mechanics by the use of structure parameters and selection principles. Although all of the nonlinear problems studied involved systems of partial differential equations, many of these problems led to the study of a single nonlinear operator equation of the form F(w, lambda, gamma) = 0, (w is an element of H), (lambda is an element of R1), (gamma is an element of R1). Instead of varying only the load parameter lambda, as is often done in the study of such equations, one of the main ideas used was to vary the structure parameter gamma in such a way that stable solutions were obtained. In this way one determines detailed stability results by making use of the structure of the model equations and the known physical parameters of the problem. The approach was carried out successfully for Benard-type convection problems, Taylor-like problems for short cylinders, rotating Couette-Poiseuille channel flows, and plane Couette flows. The main focus of the research was on wave theory of vortex breakdown in a tube. A number of preliminary results for inviscid axisymmetric flows were obtained

"Bridging the Gap" through Australian Cultural Astronomy

For more than 50,000 years, Indigenous Australians have incorporated celestial events into their oral traditions and used the motions of celestial bodies for navigation, time-keeping, food economics, and social structure. In this paper, we explore the ways in which Aboriginal people made careful observations of the sky, measurements of celestial bodies, and incorporated astronomical events into complex oral traditions by searching for written records of time-keeping using celestial bodies, the use of rising and setting stars as indicators of special events, recorded observations of variable stars, the solar cycle, and lunar phases (including ocean tides and eclipses) in oral tradition, as well as astronomical measurements of the equinox, solstice, and cardinal points.Comment: Proceedings of IAU Symposium 278, Oxford IX International Symposium on Archaeoastronomy, International Society for Archaeoastronomy & Astronomy in Culture (ISAAC), held in Lima, Peru, 5-9 January 2011. 9 pages, 4 images, 1 table (Accepted

Comets in Australian Aboriginal Astronomy

We present 25 accounts of comets from 40 Australian Aboriginal communities, citing both supernatural perceptions of comets and historical accounts of bright comets. Historical and ethnographic descriptions include the Great Comets of 1843, 1861, 1901, 1910, and 1927. We describe the perceptions of comets in Aboriginal societies and show that they are typically associated with fear, death, omens, malevolent spirits, and evil magic, consistent with many cultures around the world. We also provide a list of words for comets in 16 different Aboriginal languages.Comment: Accepted in the "Journal for Astronomical History & Heritage", 17 Pages, 6 Figures, 1 Tabl

Hubbard Model with Luscher fermions

First applications of the new algorithm simulating dynamical fermions are reported. The method reproduces previous results obtained with different techniques.Comment: talk presented at the XII International Symposium LATTICE94, Bielefeld, Germany, September 1994, to appear in the Proceedings. 3 pages, LATEX, required Elsevier espcrc2.sty style file is attached at the end of this LATEX text. Postscript figures included in the latex document with the epsf facilit

Orientations of linear stone arrangements in New South Wales

We test the hypothesis that Aboriginal linear stone arrangements in New South Wales (NSW) are oriented to cardinal directions. We accomplish this by measuring the azimuths of stone arrangements described in site cards from the NSW Aboriginal Heritage Information Management System. We then survey a subset of these sites to test the accuracy of information recorded on the site cards. We find a preference recorded in the site cards for cardinal orientations among azimuths. The field surveys show that the site cards are reasonably accurate, but the surveyors probably did not correct for magnetic declinations. Using Monte Carlo statistics, we show that these preferred orientations did not occur by chance and that Aboriginal people deliberately aligned these arrangements to the approximate cardinal directions. We briefly explore possible reasons for these preferred orientations and highlight the need for future work.Comment: Australian Archaeology, Volume 75 (December 2012), accepte

Wurdi Youang: an Australian Aboriginal stone arrangement with possible solar indications

Wurdi Youang is an egg-shaped Aboriginal stone arrangement in Victoria, Australia. Here we present a new survey of the site, and show that its major axis is aligned within a few degrees of east-west. We confirm a previous hypothesis that it contains alignments to the position on the horizon of the setting sun at the equinox and the solstices, and show that two independent sets of indicators are aligned in these directions. We show that these alignments are unlikely to have arisen by chance, and instead the builders of this stone arrangement appear to have deliberately aligned the site on astronomically significant positions.Comment: Accepted by Rock Art Researc

Nondestructive Evaluation Uncertainty and Inspection Optimization

NDE decisions differ from most other engineering decisions in that the NDE response or responses used in making a decision with regard to the serviceability of a part are often only weakly correlated with the serviceability of the part. The impact of of this weak correlation or inspection uncertainty on inspection errors and the effectiveness of the inspection is discussed. A quantitative methodology for selecting the optimum NDI accept/reject decision thresholds in the face of the inspection uncertainty is outlined. Also discussed briefly is how inspection uncertainty analysis can be used to estimate the inspection reliability from field or production inspection data without the use of a flawed specimen program