## 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

Hydraulic engineers and river engineers are requested to understand Open Channel Hydraulics to handle practical problems properly. In this class, the basic theory on open channel hydraulics is lectured showing various applications in Hydraulic Engineering Field. The contents include the following items: Application of a singular point theory to water surface profile analysis, Derivation of 2-D depth averaged flow model, 1-D analysis of unsteady open channel flows based on the method of characteristics, Plane 2-D analysis of steady high velocity flows, Plane 2-D analysis of unsteady flows, Higher order theories such as Boussinesq equation, etc.

This class is available for 2018. The regular examination is held for grading.

### Course Goals

Students are required to understand the basic theory of Open Channel Hydraulics and to learn how to apply the basic theory to practical problems in hydraulic engineering field including computational methods.

### Course Topics

Theme Class number of times Description
Guidance 1 The contents of this subject are introduced showing the whole framework of Open Channel Hydraulics with several theoretical and computational results.
Derivation of 2-D depth averaged model 1 Derivation procesures of plane 2-D depth averaged flow model are expalined in details.
Application of singular point theory to water surface profile analysis 1 The application of a singular point theory to water surface profile analysis for steady open channel flows is explained.
1-D analysis of unsteady open channel flows 3 The following items are lectured: 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 basic theory 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 in river engineering.
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 The following items are lectured: The propagation of a characteristic surface, the shear layer instability in 2-D flow fields, the application of a generalized curvilinear coordinate system to river flow computation, the application of a moving coordinate system, etc.
Higher order theory 3 Boussinesq equation with the effect of vertical acceleration, full/partially full pressurized flows observed in a sewer network, traffic flow theory based on a dynamic wave model and its application
Achievement Confirmation & Feedback 1 Understanding of the contents on Open Channel Hydraulics is confirmed through the regular examination.

### Textbook

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

### Prerequisite(s)

The Basic knowledge on fluid dyanamics and hydraulics