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.
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".
Water flow in River and Lakes, Surface wave of water, Density current, Density stratification, Numerical analysis
|✔ Specialist skills||Intercultural skills||Communication skills||Critical thinking skills||✔ Practical and/or problem-solving skills|
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|
|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.|
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.
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)".