Although extensive work has been carried out on one-dimensional resonant oscillations of both liquids in a tank (where the free surface varies in only one spatial dimension) and gases in a resonator, little is known about two-dimensional solutions. This thesis aims to unite and extend the knowledge about one-dimensional solutions and also develop a theory for classifying two-dimensional motions and, as a consequence, understand the different types of responses that may be found in tanks and resonators of arbitrary geometry. To do this we focus on (i) the nonlinearity and (ii) the geometry (and, hence, the nature of the spectrum) and ignore dissipation to lowest order although it is, in general, important. However, we can easily include dissipative effects a posteriori and its initial absence makes it easier to analyse the new two-dimensional effects. For reasons which will become apparent, we will mainly consider cuboid-shaped geometries and perturb the sidewalls of such tanks and resonators, allowing for the gradual introduction of two-dimensional effects. The thesis is split into two parts, underlying the differences between the problems that arise when the spectrum of the relevant linear problem is commensurate or non-commensurate. After a general introduction in Chapter 1 and a discussion of the model and governing equations in Chapter 2, the first part, comprising Chapter 3, looks at oscillations in deep water where the response typically consists of a finite number of modes. The second part is more extensive, looking at shallow water sloshing and the analogies of this problem with acoustic oscillations, both of which have a spectrum containing an infinite set of commensurate frequencies and the solution is much more intricate. We develop the problem and its one-dimensional solutions in Chapter 4 and then extend these ideas to two-dimensions in Chapter 5. With all this in mind we then make some general remarks about oscillations in tanks and resonators of arbitrary geometry in Chapter 6.

In developing designs for high speed vessels, the engineer must account for the response of the ship in the environment while operating at mission essential speeds. This thesis presents a seakeeping analysis of David Taylor Model Basin's Series 64 models scaled to a 2500-ton displacement using the SHIPMO and MATLAB software. It also discusses the current technology associated with high speed vessels (HSV's) and the relation to the US Navy. Series 64 models provided the benchmark for resistance data. To expand upon this well known series, this research develops seakeeping data trends for scaled-up models. SHIPMO allows the user to specify the ship's characteristics and the environmental conditions such as wave specifications and spectrum. Using the output files from SHIPMO, the MATLAB program designed during this thesis, produced contour plots for the models' response in pitch and heave. Seakeeping trends were observed based on the plots and further compared to calculations of the seakeeping rank, R, a formula originally developed by Nathan Bales. The results of the research can be used by engineers in application to the design of small displacement, high speed ships, both monohulls and multi-hulls. / http://hdl.handle.net/10945/1070 / US Navy (USN) author.

A comprehensive and critical review of literature pertaining to the study of planing craft is given within this work. This study includes monohull design, analysis and performance prediction for flat water; many features of the planing characteristics, including dynamic stability, the use of stepped hullforms, re-entrant transoms and flow characteristics are detailed. Work on the rough water seakeeping analysis of planing craft is also given, and furthermore, literature pertaining to planing catamaran design and performance prediction, and on the ground effect is cited. Mathematical modelling approaches are discussed and it is explained that there is still much progress to be made in this area before accurate and reliable analytical prediction methods become available. The method of matched asymptotic expansions and also a proposed force-mathematical model are shown to be particularly suitable to the prediction of planing craft forces and moments, the first method being highly analytical and the latter requiring a semi-empirical approach to be adopted. A discussion is given of the physical phenomena responsible for the characteristics of planing craft and their interrelation. It is also discussed how modem craft are attaining higher and higher speeds, and a result of this is that the dynamic characteristics of the craft, including the flow conditions, are substantially different to those of more conventional craft. This modem very high speed regime of planing has been analysed and identified in this study under the new title of 'Alto-planing'. Further discussion of planing craft form and design concepts are persued, including details of the design of catamarans and more novel forms. A new computer-based prediction method is presented, which includes prediction methods for trim tabs and an aero foil. The ability of the program to allow the designer to vary given inputs of the hull data is explained, and a systematic variation of all the input characteristics is detailed. An optimisation procedure is offered and it is observed that this new prediction method can provide the designer with as much data as required for analysis of the form, a distinct advantage over current planing craft prediction software. Validation is undertaken by comparison with data from trials results, model test data and comparison with other prediction techniques. A discussion of current prediction methods is given. Finally, the aerodynamic characteristics of alto-planing craft are researched in detail, by means of a systematic series of model tests. Analysis of the results have extended the previous empirical limits and have furthermore segregated and quantified the components of the aerodynamic effects, including the aerodynamic resistance and the change in hydrodynamic running conditions due to the aerodynamic effects. An enhanced and novel prediction method is given, which is used to provide illustrative examples of the aerodynamic characteristics of alto-planing craft.

In the present study, 3 wake parameters are semi-automatically measured in 63 composite-labeled images of a surface piercing propeller tested at yaw angles 0-30 degrees, pitch angles 0-15 degrees, propeller immersion ratios of 0.33 and 0.50 and scaled advance ratios 0.656-1.927. A fourth wake parameter is measured in four composite labeled images of yaw angles 0-30 degrees, pitch angle 0 degrees, immersion ratios of 0.33 and 0.50 and scaled advance ratios 1.363-1.927. Measurements are plotted against propeller's angular position. Major findings include the behavior of wake parameters as the values of scaled advance ratio, yaw angle, pitch angle, and immersion ratio vary. / by Luis Altamirano. / Thesis (M.S.C.S.)--Florida Atlantic University, 2010. / Includes bibliography. / Electronic reproduction. Boca Raton, Fla., 2010. Mode of access: World Wide Web.

Ho Chun Yan = 電離對單泡聲致發光的影響 / 何俊恩. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2000. / Includes bibliographical references (leaves [90]-93). / Text in English; abstracts in English and Chinese. / Ho Chun Yan = Dian li dui dan pao sheng zhi fa guang de ying xiang / He Junen. / Abstract --- p.i / Acknowledgements --- p.ii / Contents --- p.iii / List of Figures --- p.vii / List of Tables --- p.xii / Chapter Chapter 1. --- Introduction --- p.1 / Chapter Chapter 2. --- Hydro dynamical Framework --- p.7 / Chapter 2.1 --- Bubble wall motion --- p.8 / Chapter 2.2 --- Navier-Stokes equations --- p.10 / Chapter 2.3 --- Energy equation in water --- p.11 / Chapter 2.4 --- Boundary condition --- p.12 / Chapter 2.5 --- Equation of state of the gas in the bubble --- p.13 / Chapter 2.5.1 --- Hard-core van der Waals EOS --- p.13 / Chapter 2.5.2 --- Young's EOS --- p.14 / Chapter 2.6 --- Numerical method --- p.14 / Chapter 2.7 --- Numerical results and discussion --- p.15 / Chapter 2.8 --- Chapter summary --- p.19 / Chapter Chapter 3. --- Equilibrium Approach --- p.20 / Chapter 3.1 --- Saha equation --- p.21 / Chapter 3.2 --- Equation of state (EOS) --- p.22 / Chapter 3.3 --- Numerical method --- p.23 / Chapter 3.4 --- Numerical results --- p.23 / Chapter 3.5 --- Chapter summary --- p.28 / Chapter Chapter 4. --- Reaction Rates Approach --- p.29 / Chapter 4.1 --- Conservation equations --- p.30 / Chapter 4.2 --- Ionization and recombination processes --- p.32 / Chapter 4.2.1 --- Collisional ionization --- p.32 / Chapter 4.2.2 --- Radiative recombination --- p.33 / Chapter 4.2.3 --- Three-body recombination --- p.34 / Chapter 4.2.4 --- Consistency with Saha equation --- p.34 / Chapter 4.3 --- Equation of state --- p.35 / Chapter 4.3.1 --- Modified Van der Waals EOS --- p.35 / Chapter 4.3.2 --- Modified Young's EOS --- p.36 / Chapter 4.4 --- Numerical method --- p.37 / Chapter 4.5 --- Numerical results --- p.38 / Chapter 4.5.1 --- Effect of ionization on hydrodynamic variables --- p.38 / Chapter 4.5.2 --- Time variation of temperature --- p.40 / Chapter 4.5.3 --- Near the upper threshold of SBSL --- p.41 / Chapter 4.5.4 --- Onset of SBSL --- p.44 / Chapter 4.5.5 --- Effect of EOS --- p.46 / Chapter 4.5.6 --- Effect of physical parameters --- p.51 / Chapter 4.6 --- Chapter summary --- p.56 / Chapter Chapter 5. --- Emitted Radiation --- p.57 / Chapter 5.1 --- Bremsstrahlung emission --- p.59 / Chapter 5.1.1 --- Numerical results --- p.60 / Chapter 5.2 --- Simple blackbody radiation model --- p.63 / Chapter 5.2.1 --- Planck's law --- p.63 / Chapter 5.2.2 --- Calculated pulse width and spectrum --- p.64 / Chapter 5.3 --- Blackbody radiation with finite opacity --- p.68 / Chapter 5.3.1 --- Photon absorption --- p.68 / Chapter 5.3.2 --- Importance of photon absorption --- p.70 / Chapter 5.3.3 --- The refined model --- p.72 / Chapter 5.3.4 --- Pulse width and spectrum in the refined model --- p.73 / Chapter 5.4 --- Chapter summary --- p.80 / Chapter Chapter 6. --- Summary --- p.81 / Appendix A. Hydrodynamics of an SL Bubble --- p.83 / Chapter A.1 --- The normal viscous stress and heat conductivity --- p.83 / Chapter A.2 --- Transformation of Navier-Stoke equations --- p.83 / Chapter A.3 --- Transformation of the energy equation of liquid --- p.84 / Appendix B. Numerical Scheme for the gas dynamics with ionization --- p.85 / Chapter B.1 --- Finite difference equation --- p.85 / Chapter B.2 --- The TVD scheme --- p.86 / Bibliography --- p.90

Lee Tak Wah = 第二類超新星爆發之電算模擬硏究 / 李德華. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2000. / Includes bibliographical references (leaf 78). / Text in English; abstracts in English and Chinese. / Lee Tak Wah = Di er lei chao xin xing bao fa zhi dian suan mo ni yan jiu / Li Dehua. / Abstract --- p.i / Acknowledgments --- p.iii / Contents --- p.iv / Chapter 1 --- Introduction --- p.1 / Chapter 1.1 --- A brief history of supernova --- p.1 / Chapter 1.2 --- Simulation of type II supernova --- p.3 / Chapter 2 --- Hydrodynamics --- p.6 / Chapter 2.1 --- Lagrangian hydrodynamics --- p.6 / Chapter 2.2 --- Finite difference representation --- p.7 / Chapter 2.3 --- Shock handling --- p.10 / Chapter 2.4 --- Stability and gravitation --- p.11 / Chapter 2.5 --- Test of the hydrodynamic code --- p.12 / Chapter 3 --- Equation of state --- p.17 / Chapter 3.1 --- Electrons and photons --- p.17 / Chapter 3.2 --- Nuclear equation of state --- p.20 / Chapter 3.2.1 --- Bulk energy --- p.21 / Chapter 3.2.2 --- Surface and Coulomb energy --- p.22 / Chapter 3.2.3 --- Nuclei to bubbles phase --- p.23 / Chapter 3.2.4 --- Translational energy --- p.24 / Chapter 3.2.5 --- Nucleons outside nuclei and α particles --- p.24 / Chapter 3.2.6 --- Nuclear statistical equilibrium --- p.25 / Chapter 3.3 --- Results along the isentropes --- p.26 / Chapter 4 --- Electrons and neutrinos behaviour --- p.40 / Chapter 4.1 --- Electron capture --- p.40 / Chapter 4.1.1 --- Electron capture on heavy nuclei --- p.41 / Chapter 4.1.2 --- Electron capture on free protons --- p.42 / Chapter 4.2 --- Neutrino leakage scheme --- p.43 / Chapter 5 --- Core collapse simulation --- p.45 / Chapter 5.1 --- Initial models --- p.45 / Chapter 5.2 --- General features of core collapse --- p.52 / Chapter 5.3 --- After the core bounce --- p.63 / Chapter 6 --- Discussion --- p.72 / Chapter 6.1 --- Conclusion --- p.72 / Chapter 6.2 --- Further development --- p.73 / Chapter A --- Artificial viscosity --- p.75 / Bibliography --- p.78

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