Average depth model has a variety of applications in hydraulic engineering, especially in applications that flow depth is much smaller than the width of the flow. In this method the vertical variation is negligible and the hydraulic variables average integrated from channel bed to the surface free for the vertical axis. in equations arising management, pure hydrostatic pressure is assumed that not really valid in the case of flow in the bed is curved and can not be described curvature effects of the bed. Therefore, this work is devoted to derive a system of equations in an average depth curve fitted generalized body coordinate system attached to an. | HYDRAULIC MODELING OF OPEN CHANNEL FLOWS OVER AN ARBITRARY 3-D SURFACE AND ITS APPLICATIONS IN AMENITY HYDRAULIC ENGINEERING TRAN NGOC ANH August 2006 Acknowledgements The research work presented in this manuscript was conducted in River System Engineering Laboratory Department of Urban Management Kyoto University Kyoto Japan. First of all I would like to convey my deepest gratitude and sincere thanks to Professor Dr. Takashi Hosoda who suggested me this research topic and provided guidance constant and kind advices encouragement throughout the research and above all giving me a chance to study and work at a World-leading university as Kyoto University. I also wish to thank Dr. Shinchiro Onda for his kind assistance useful advices especially in the first days of my research life in Kyoto. His efforts were helping me to put the first stones to build up my background in the field of computational fluid dynamics. My special thanks should go to Professor Toda Keiichi and Associate Professor Gotoh Hitoshi for their valuable commences and discussions that improved much this manuscript. I am very very grateful to my best foreign friend Prosper Mgaya from Tanzania for all of his helps discussions and strong encouragements since October 2003. In addition my heartfelt gratitude is extended to all of my Vietnamese friends in Japan Kansai Football Club members who helped me forget the seduced life in Vietnam particular Nguyen Hoang Long Le Huy Chuan and Le Minh Nhat. Last but not least the most deserving of my gratitude is to my wife Ha Thanh An and my family parents and younger brother. This work might not be completed without their constant support and encouragement. I am feeling lucky because my wife my parents and my younger brother are always by my side and this work is therefore dedicated to them. iii Abstract Two-dimensional 2D description of the flow is commonly sufficient to analyze successfully the flows in most of open channels when the width-to-depth ratio is large
