Thesis (Master's)--Si li Zhongguo wen hua xue yuan. / Includes bibliographical references (p. 66-70).

Thesis (Ph. D.)--Yale University, 1994. / Includes bibliographical references (leaves 312-331).

Thesis (M.A.)--University of Hong Kong, 1982. / Also available in print.

Thesis (Master's)--Si li Zhongguo wen hua xue yuan. / Bibliography: p. 66-70.

Thesis (M.A.)--Guo li Taiwan shi fan da xue guo wen yan jiu suo. / Cover title. Includes bibliographical references (p. 224-227)

Thesis (Ph. D.)--University of Hong Kong, 2003. / Also available in print.

This thesis concerns the viability of the 'Yin-Yang grid' for future generations of atmospheric models. The 'Yin-Yang grid’, is an overset grid in which two segments of the classical latitude-longitude grid, with the poles excised, are rotated relative to each other and fit together rather like the surface of a tennis ball. We investigate whether wave propagation can be accurately modelled across the overlap regions and whether transport of air mass properties, such as entropy or water content, can be modelled accurately and conservatively across the overlap regions, without significant 'grid imprinting' on the solution. The wave propagation results demonstrate that the overlapping regions support computational/spurious wave modes and methods for controlling these wave modes are discussed. Transport schemes are investigated in one dimension using the Chesshire and Henshaw conservative interpolation scheme [Chesshire and Henshaw 1984] and the new 'Zerroukat mass fixer' scheme. The Zerroukat mass fixer scheme is extended to the (two-dimensional) Yin-Yang grid. The results demonstrate that the Zerroukat mass fixer scheme is successful in conserving mass. However, the Zerroukat scheme has an effect on flux limiter schemes, overshoots can occur. The Zerroukat scheme also reduces convergence rates by 2 orders of accuracy. Therefore if 2nd order convergence is required a 4th order scheme would need to be used.

published_or_final_version / Physics / Doctoral / Doctor of Philosophy

The Neo-Confucian philosopher Yang Shih (1053-1135) flourished during one of the most fertile periods in the history of Chinese philosophy. His curiosity about differences among the Confucian classics, his interest in the Book of Change, his exploration of Buddhist philosophy and his reaction against the philosophical foundation of Wang An-shih's political policies mark Yang Shih as highly representative of his generation. That these factors led to his formulation of a Confucian metaphysics makes him philosophically significant. Further, as the Ch'eng brothers' emissary to southern China, the founder of the Tung-lin Academy, and a progenitor of Chu Hsi, Yang's historical significance is considerable. Yang Shih forms the link between northern and southern China, the Ch'eng brothers and Chu Hsi. This study offers two types of framework within which the diverse elements of Yang Shih's thought may be analyzed: (1) a systemic approach based on the centrality of metaphysics to his teachings, and (2) a comparative approach examining Yang's reaction to the philosophical underpinnings of Wang An-shih's political theories. The major portion of the dissertation deals with Yang's concept of the Tao as a palpable entity, its operator (the principle of change), and its dynamic (response). It examines the ramifications of this groundwork for Yang's theories of human nature and the value of wen (the written and cultural heritage) as well as his attitude toward so-called "heterodox" schools, most notably Buddhism and Taoism. The secondary portion of the dissertation focusses on Yang Shih's criticism of Wang An-shih's Tzu-shuo. Despite the marked divergence of their approaches to political and social issues, an examination of their respective philosophical theories shows the difference between Yang Shih and Wang An-shih to be predominantly one of discourse and emphasis rather than fundamental metaphysical theory. Three appendices follow the body of the dissertation. The first describes the various available editions of the primary source text; the second consists of a biography of Yang Shih; and a glossary of Chinese terms forms the third.

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