計算水力學
Computational Hydraulics
| 節 | 週二 |
|---|---|
2 09:00–09:50 | 計算水力學 EB404（光復） 3 節連堂 |
3 10:10–11:00 | |
4 11:10–12:00 |
* 根據陽明交大上課時間表所列
The goal of this course is to provide an understanding of numerical methods applied to engineering problems in hydrology and hydraulics. It is designed to provide a good understanding of these methods and practical opportunities for students to write their own methods. Students will also acquire the skills necessary to use practical computational software such as HEC-HMS and HEC-RAS to solve engineering problems with competence and confidence. The course will introduce a variety of numerical methods through a series of problems including advection and diffusion. Topics covered include: • Conceptual hydrologic models. • Explicit and implicit finite difference methods. • Analysis of convergence, stability, and accuracy of numerical schemes.
Open Channel Hydraulics
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Homework 40% Project and presentation 50% Others 10%
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| 週次 | 主題 |
|---|---|
| 第 1 週 | Introduction, Numerical Basics |
| 第 2 週 | Taylor Series |
| 第 3 週 | Numpy, Scipy, Matplotlib, Pandas, Comparison of Calculation Speed of Numpy and List and application for numerical difference |
| 第 4 週 | Methods for Solving Algebraic Equations and Their Systems: Bisection, Newton, solve the system of linear equations |
| 第 5 週 | Methods to solve non-linear equations: Bisection, Fixed point, Newton, Secant method |
| 第 6 週 | Methods to solve a system of linear equations (Gauss elimination LU decomposition and iterative method |
| 第 7 週 | Hydrologic Modeling Unit Hydrograph and Reservoir routing I |
| 第 8 週 | Hydrologic Modeling Unit Hydrograph and Reservoir Routing II |
| 第 9 週 | Hydrologic modeling & HEC-HMS |
| 第 10 週 | Midterm presentation |
| 第 11 週 | Series channel Network and Methods for Solving a System of non-linear Equations I |
| 第 12 週 | Series channel Network and Methods for Solving a System of non-linear Equations II |
| 第 13 週 | Governing equation, stability, characteristics method FTCS scheme, and LAX scheme |
| 第 14 週 | Maccormack, Perismann, and coding |
| 第 15 週 | HEC-RAS |
| 第 16 週 | Final presentation |
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- By appointment
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