浅水力学 - 工学部 - 東京大学授業カタログ

浅水力学

This course explores the fundamental principles and equations that govern shallow-water flows, which are crucial for applications in civil and environmental engineering. Key topics include the derivation and analysis of shallow water equations and their applications in riverine and coastal environments.

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授業計画

1. Review of Fluid Mechanics -Conservation of mass, momentum, and energy -Boundary conditions for free-surface water flows 2. Derivations of Shallow-Water Theories -Mathematical preliminaries -Derivation of shallow-water equations -Types of shallow-water flows and simplified models: 3. Hydrostatic Shallow Water Flows Method of Characteristics: Dam-break flow Riemann problem: Bore and hydraulic jump Carrier-Greenspan theory for wave run-up 4. Non-hydrostatic Shallow Water Flows -Permanent wave solutions: Solitary and cnoidal wave solutions -Turbulent/undular bores, critical wave and wave breaking -Laboratory demonstrations of non-hydrostatic shallow-water flows 5. Applifcations of Shallow Water Theories *There may be slight changes to the content and schedule.

授業の方法

I’ll be using the whiteboard for most of the lecture, alongside a few slides.

成績評価方法

Assignment and Final Exam

履修上の注意

This lecture assumes you already have a basic understanding of fluid mechanics.

その他

＜前提となる知識・項目＞ Fundamental Fluid Mechanics, Hydraulics ＜備考＞ The course will start on Oct 8. Please see the information on UTOL.