## Course Title : Open Channel Hydraulics

Code 10F245 Master and Doctor Course 1st term Fri 1st C1-173 2 No Restriction Lecture English HOSODA, Takashi and ONDA, Shinichiro

### Course Description

Fundamental theory of Open Channel Hydraulics used in River Engineering and Urban Fluid Engineering Fields are lectured, showing various applications in Hydraulic Engineering Field. The contents include the following items: Application of singular point theory to water surface profile analysis, Derivation of 2-D depth averaged flow model, 1-D analysis of unsteady open channel flows, Plane 2-D analysis of steady high velocity flows, Plance 2-D analysis of unsteady flows, Higher order theory, etc.

Regular examination

### Course Goals

The objective of this subject is to understand the grounds of Open Channel Hydraulics and to learn how to apply Open Channel Hydraulics to practical problems in hydraulic engineering field.

### Course Topics

Theme Class number of times Description
Guidance 1 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 1 Derivation procesures of plane 2-D depth averaged model are expalined in detail
Application of singular point theory to water surface profile analysis 1 The application of singular point theory to water surface profile analysis is explained.
1-D analysis of unsteady open channel flows 3 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 1 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 1 Characteristics of steady plane 2-D flows are explained based on the method of characteristics.
Plance 2-D analysis of unsteady flows 3 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 3 Boussinesq equation with the effect of vertical acceleration, full/partially full pressurized flow onserved in sewer network, trafic flow analysis by means of dynamic wave model
Achievement Confirmation 1 Understanding of the contents on Open CHannel Hydraulics is confirmed.

### Textbook

Printed materials on the contents of this class are distributed in class.

### Prerequisite(s)

Basic knowledge of fluid dyanamics and hydraulics