### 2016　Basis of Environmental Hydrodynamics

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Undergraduate major in Transdisciplinary Science and Engineering
Instructor(s)
Nakamura Takashi
Course component(s)
Lecture
Mode of instruction

Day/Period(Room No.)
Tue5-6(S514)
Group
-
Course number
TSE.A317
Credits
1
2016
Offered quarter
4Q
Syllabus updated
2016/4/27
Lecture notes updated
2017/2/6
Language used
Japanese
Access Index ### Course description and aims

This course focuses on the theoretical aspects and analysis methods of "Water Environmental Flow". Topics include "surface wave caused on the water surface", "water flow caused by spatial density change", and "numerical methods to analysis water environmental flows". In addition to lectures on the theoretical aspects, students will learn how to analyze flow with computational simulations thorough some computer practices.

### Student learning outcomes

By the end of this course, student will be able to:
I. Understand the physical features and analysis method of "surface wave of water".
II. Acquire skills to conduct a numerical analysis of "surface wave of water".
III. Understand the impacts of spatial density changes on water flows and their features.
IV. Acquire skills to conduct a numerical analysis of "density driven environmental flow".

### Keywords

Water flow in River and Lakes, Surface wave of water, Density current, Density stratification, Numerical analysis

### Competencies that will be developed

 ✔ Specialist skills Intercultural skills Communication skills Critical thinking skills ✔ Practical and/or problem-solving skills

### Class flow

In addition to the theoretical aspects of water environmental flows, some numerical methods to solve them and computer practices are scheduled.

### Course schedule/Required learning

Course schedule Required learning
Class 1 Governing equations of environmental flow Learn mathematical expression of environmental water flow.
Class 2 Mathematical description and physical phenomena of surface wave of water Derive the governing equation for surface wave in water and learn the wave's physical features.
Class 3 Analysis of surface wave of water ー numerical modeling Learn a numerical scheme to solve the dynamics of surface wave of water.
Class 4 Analysis of surface wave of water ー program implementation Computer practice in implementing a numerical model of surface wave propagation.
Class 5 Analysis of surface wave of water ー understanding of physical features by numerical analysis Conduct numerical analysis and understand the physical feature of surface wave of water.
Class 6 Environmental flow caused by spatial density change and mathematical expression Learn the origin of spatial density change and water flow caused by it.
Class 7 Numerical modeling of density driven water flow Lean a numerical modeling of density driven flow and review of the numerical method.
Class 8 Numerical analysis of the advection equation Learn a numerical method to solve the advection phenomena.
Class 9 Computer practice of the advection equation Implement a program code to solve the advection equation.
Class 10 Numerical analysis of the advection-diffusion equation Learn a numerical method to solve the advection-diffusion phenomena.
Class 11 Computer practice of advection-diffusion equation Implement a program code to solve the diffusion equation
Class 12 Numerical modeling of pressure and buoyancy force and its numerical solution Learn numerical modelings of pressure and buoyancy effects.
Class 13 Computer practice Combine the numerical models of advection, diffusion and pressure equation and complete a numerical simulation program to solve density-driven water flows.
Class 14 Impact of spatial density change and density driven water flow on the water environment. Learn about some water environmental problems caused by spatial density change and density driven water flow.
Class 15 Numerical analysis of density driven water flow Using the developed numerical simulation model, conduct some numerical analysis of the water flows caused by spatial density change.

None

None

### Assessment criteria and methods

Based on a report　submitted in the end of the course, understanding of "theory and features of environmental flow" and acquiring of "skill of programming" are evaluated.

### Related courses

• TSE.A205 ： Fluid Engineering
• TSE.M201 ： Ordinary Differential Equations and Physical Phenomena
• TSE.M202 ： Partial Differential Equations for Science and Engineering

### Prerequisites (i.e., required knowledge, skills, courses, etc.)

Students must have successfully completed "Fluid Engineering(TSE.A205)", "Ordinary Differential Equation and Physical Phenomena(TSE.M201)" and "Partial Differential Equation and Physical Phenomena(TSE.M202)". 