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開水路の水理学

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科目ナンバリング
  • G-ENG01 6F245 LE73
  • G-ENG02 6F245 LE73
開講年度・開講期 2020・前期
単位数 2 単位
授業形態 講義
配当学年 修士・博士
対象学生 大学院生
使用言語 英語
曜時限 金1
教員
  • 細田 尚(工学研究科 教授)
  • 音田 慎一郎(工学研究科 准教授)
授業の概要・目的 水工学,河川工学等で必要となる開水路流れの基礎理論と解析法に関して以下の項目について体系的に講述する.開水路流れの水深積分モデルの導出,開水路定常流の水面形解析と特異点理論の応用,開水路非定常流の基本特性と特性曲線法の適用,平面2次元非定常流の基本特性(特性曲面の伝播,鳴門の渦潮などのせん断不安定現象,テンソル解析の初歩と一般曲線座標系を用いた解析法等),高次理論の紹介(ブシネスク方程式,下水管路等で生じる管路・開水路共存非定常流の解析法),アラカルト(ダイナミックモデルによる交通流の水理解析等)
到達目標 開水路流れの基礎理論を十分理解し,実際問題に対して自分で基礎式や解析方法の選定など十分に対処できるようになること.
授業計画と内容 Guidance(1time)
The contents of this subject are introduced, overviewing the whole framework of Open Channel Hydraulics with various theoretical and computational results.

Derivation of 2-D depth averaged model(1time)
Derivation procesures of the plane 2-D depth averaged flow model are expalined in detail.

Application of singular point theory to water surface profile analysis(1time)
The application of singular point theory to water surface profile analysis is explained.

1-D analysis of unsteady open channel flows(3times)
Fundamental characteristics of 1-D unsteady open channel flows, Method of Characteristics, Dam break flows, Computational methods for shallow water equations

Fundamentals of numerical simulation(1time)
Considering the convective equation as a basic example, the fundamental knowledge of numerical simulation is explained by means of finite difference method, finite element method, etc. Applications of these method to unsteady open channel flow equations are also shown with some practical applications.

Plane 2-D analysis of steady high velocity flows(1time)
Characteristics of steady plane 2-D flows are explained based on the method of characteristics.

Plance 2-D analysis of unsteady flows(3times)
Propagation of characteristic furface, shear layer instability, application of a generalized curvilinear coordinate to river flow computation, application of a moving coordinate system, etc.

Higher order theory(3times)
Boussinesq equation with the effect of vertical acceleration, mixed flows with pressurized flows and free surface flows observed in a sewer network system, trafic flow analysis by means of dynamic wave model

Achievement Confirmation & Feedback(1time)
The understanding of the contents on Open Channel Hydraulics is confirmed through the regular examination. Regarding the questions, students can send e-mails to Hosoda, T.
成績評価の方法・観点 主として定期試験
履修要件 Basic knowledge on fluid dynamics and hydraulics
授業外学習(予習・復習)等 適宜指示する
教科書
  • Printed materials on the contents of this subject are distributed in the class.