This course deals with method to numerically model environmental phenomenon. It contains ideas to apply physical low and ways
to conduct model calculation to obtain solutions. It is the advanced contents of “Introduction to Environmental Engineering”.
The goals of this course are to
- Be able to explain precipitation-runoff phenomenon as a part of system model of transformation
- Be able to understand the meaning of exact solution in hydrological models
- Be able to discretize the phenomenon to obtain analytical solution
At the end of the course, participants are expected to obtain knowledge about the methodology to solve environmental issues and ways to tackle the issue.
- Be able to explain precipitation-runoff phenomenon as a part of system model of transformation
- Be able to understand the meaning of exact solution in hydrological models
- Be able to discretize the phenomenon to obtain analytical solution
At the end of the course, participants are expected to obtain knowledge about the methodology to solve environmental issues and ways to tackle the issue.
- To be able to numerically model an environmental system and to calculate it using ordinary differential equations and partial differential equations.
- To be able to analyze issues in an environmental system using a conceptual model, response function model and physics model. To be able to understand the concepts of these models and how to solve the equations implemented in the models.
- To be able to understand and explain dimensions and numerical equations when they formulate basic equations to model an environmental system.
| Class schedule | HW assignments (Including preparation and review of the class.) | Amount of Time Required | |
|---|---|---|---|
| 1. | Review “Introduction to Environmental Engineering” - Physical quantity and dimensions - What is an Environmental System? |
Review the lecture “Introduction to Environmental Engineering” | 45minutes |
| 2. | Environmental System Models - Conceptual model / response function model / physical model - Linear model / non-linear model |
Review a Tank model | 45minutes |
| 3. | Modeling an Environmental System (1) - Basic of conceptual model - Tank model |
Review a Tank model | 45minutes |
| 4. | Modeling an Environmental System (2) - A unit hydro method and principle of overlaying - Assignment |
Review matrix calculation Complete the report for the assignment. |
45minutes |
| 5. | Modeling an Environmental System (3) - Response function model - Discrete type and continuous type |
Review a unit hydro method | 45minutes |
| 6. | Supplements of Differential Equations - Ordinary differential equation and partial differential equation - Partial differential equations |
Deeply understand calculus | 45minutes |
| 7. | Modeling an Environmental System (4) - Principle of physical models - Developing a physical model |
Study concept of partial differential equations | 45minutes |
| 8. | Modeling an Environmental System (5) - Induction of physical models - Heat diffusion model |
Review concept of partial differential equations | 45minutes |
| 9. | Analytical solution of an Environmental System model (Variable Separation Method) - Outline of a variable separation method - Application of boundary condition and initial condition |
Review solution method of ordinary differential equation (in “Introduction to Environmental Engineering). | 45minutes |
| 10. | Numerical Solution of an Environmental System (1) - Differentiation of partial differential equation - Differential method (explicit and implicit method) |
Deepen the understanding of a differentiation of partial differential equation | 45minutes |
| 11. | Numerical Solution of an Environmental System (2) - Accuracy and stability |
Review matrix representation of simultaneous equations. | 45minutes |
| 12. | Recent topics in Environmental System Models - Application of models to environmental assessment - Application of models to river management - Assignment |
Investigate how the Environmental System Model contribute to solve environmental issues. Complete assignment. | 45minutes |
| 13. | Summary of Environmental System Models - Review of all the contents of environmental system models |
Review and organize the content of the whole lecture. | 45minutes |
| 14. | Summary of the lecture - Review all the content of the lecture |
Understand whole lecture contents and prepare for the final exam | 45minutes |
| Total. | - | - | 630minutes |
| Final exam | report | Total. | |
|---|---|---|---|
| 1. | 20% | 0% | 20% |
| 2. | 20% | 10% | 30% |
| 3. | 30% | 20% | 50% |
| Total. | 70% | 30% | - |
Your final grade will be calculated according to the following process: report (30%, occasionally given) and final exam (70%).
To pass, students must earn at least 60 points out of 100.
To pass, students must earn at least 60 points out of 100.
- I welcome questions after each lecture.
Office hour: lunch time on Thursday (please be informed in advance)
- Course that cultivates an ability for utilizing knowledge
| Work experience | Work experience and relevance to the course content if applicatable |
|---|---|
| N/A | N/A |
Last modified : Thu Mar 21 14:40:39 JST 2019