Addendum is inserted inside back cover. / Bibliography: leaves 240-246. / xii, 246 leaves : ill ; 30 cm. / Title page, contents and abstract only. The complete thesis in print form is available from the University Library. / Thesis (Ph.D.)--University of Adelaide, Dept. of Applied Mathematics, 1996?

In this thesis three independent studies of tidal dynamics have been pesented. The first is an analytical study of continental shelf tides forced at the ocean boundary. Earlier studies have shown that the response for a sloping shelf and a flat shelf differ and that the response for a flat shelf changes when tides are incident at an angle. Other studies considered a sloping shelf but they did not take into account a possible non-zero depth at a coastal wall. This study shows that the effects of a sloping shelf, a coastal wall and obliquely incident tides an all significantly modify the response on the shelf. The modification increases with the width of the shelf, and in a wide shelf scenario, near resonance, it greatly modifies the response. Secondly, the Princeton Ocean Model in barotropic mode along with a tracer transport module has been used to study the tides of Sydney Harbour. The tidally induced residual circulation due to the semi-diurnal tide consists of a series of recirculating gyres which are due to the interaction of flow with topography. This study shows that in the harbour it is the Lagrangian residual velocity not the Eulerian residual velocity which determines the net transport of material over a tidal cycle. In addition, the flushing time of the harbour varies significantly in space, and the tidal mixing is restricted in the vicinity of the entrance. The third is a theoretical study of forced oscillations in a rotating, flat-bottomed, circular basin. This study shows that the direction of propagation of waves in a basin depends on the ratio of its radius to depth. At each latitude there is a critical value of this ratio and this value decreases with increase in latitude. Beyond this value, waves start to propagate around the basin in the opposite direction to the earth ???s rotation (clockwise in the northern hemisphere and anti-clockwise in the southern hemisphere).The presence of friction increases this critical value which shows that friction plays an important role in determining the response.

This thesis considers the problem of tidal and thermal propagation of water within a shallow estuary, with specific reference to the Port River Estuary in South Australia. A system of two - dimensional laterally integrated equations are obtained from the general three - dimensional equations of continuity, momentum conservation and thermodynamics by integration over the width of the estuarial channel, and this system is further integrated over depth to obtain a set of one-dimensional equations. A numerical model is developed from these equations, using explicit finite differences to approximate the tidal equations ( continuity and motion ) and implicit differences to model the temperature equation. The model is extended to include a number of interconnecting channels, and discusses boundary conditions to determine transports, elevations and temperatu along each of the channels. Verification of the numerical model is achieved by comparing results obtained from the model with analytic solutions for similar situations. These comparisons show good agreement between the two solutions. A two - dimensional numerical model is obtained by first non - dimensionalizing the laterally integrated equations with respect to the depth coordinate, and then using explicit finite differences to solve the equations of continuity, motion and temperature. Different schemes are considered in order to provide the best means of approximating the differential equations, and these are discussed with reference to stability, convergence and efficiency. The two models are applied to the Port River Estuary, where the Torrens Island Power Station pumps heated water into one of the channels within the estuary. Tidal elevations obtained from the models compare favourably with data collected at various points in the estuary. Unfortunately, no transport or temperature measurements are available to verify the models, but results obtained from both models are consistent. The temperature results tend to suggest that recirculation of heated water from the outflow region to the point where water is drawn into the Power Station does occur at most stages of a tidal cycle. This recirculation can lower the efficiency of the power station, and possible alternatives are put forward to prevent this becoming an economical problem for the Station. / Thesis (Ph.D.)--Department of Applied Mathematics, 1976.

In this thesis three independent studies of tidal dynamics have been pesented. The first is an analytical study of continental shelf tides forced at the ocean boundary. Earlier studies have shown that the response for a sloping shelf and a flat shelf differ and that the response for a flat shelf changes when tides are incident at an angle. Other studies considered a sloping shelf but they did not take into account a possible non-zero depth at a coastal wall. This study shows that the effects of a sloping shelf, a coastal wall and obliquely incident tides an all significantly modify the response on the shelf. The modification increases with the width of the shelf, and in a wide shelf scenario, near resonance, it greatly modifies the response. Secondly, the Princeton Ocean Model in barotropic mode along with a tracer transport module has been used to study the tides of Sydney Harbour. The tidally induced residual circulation due to the semi-diurnal tide consists of a series of recirculating gyres which are due to the interaction of flow with topography. This study shows that in the harbour it is the Lagrangian residual velocity not the Eulerian residual velocity which determines the net transport of material over a tidal cycle. In addition, the flushing time of the harbour varies significantly in space, and the tidal mixing is restricted in the vicinity of the entrance. The third is a theoretical study of forced oscillations in a rotating, flat-bottomed, circular basin. This study shows that the direction of propagation of waves in a basin depends on the ratio of its radius to depth. At each latitude there is a critical value of this ratio and this value decreases with increase in latitude. Beyond this value, waves start to propagate around the basin in the opposite direction to the earth ???s rotation (clockwise in the northern hemisphere and anti-clockwise in the southern hemisphere).The presence of friction increases this critical value which shows that friction plays an important role in determining the response.

Thesis (Ph. D.)--University of Adelaide, Mawson Institute for Antarctic Research, 1990. / Copies of author's previously published articles inserted. Includes bibliographical references (leaves 219-226).

Thesis (Ph. D.)--Massachusetts Institute of Technology and Woods Hole Oceanographic Institution, 1980. / Vita. Grant no.: OCE 73-01384. Includes bibliographical references (leaves 203-209).

Thesis (Ph. D.)--Massachusetts Institute of Technology and Woods Hole Oceanographic Institution, 1980. / Vita. Grant no.: OCE 73-01384. Includes bibliographical references (leaves 203-209).

Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Earth and Planetary Sciences, 1980. / Supervised by Carl Wunsch. Vita. Includes bibliographical references (leaves 203-209).

Thesis (M.E.)--University of Canterbury, 1997. / Typescript (photocopy). Includes bibliographical references (leaf 39). Also available via the World Wide Web.

Thesis (Ph. D.)--Ohio State University, 2007. / Title from first page of PDF file. Includes bibliographical references (p. 197-207).