2025 (Current Year) Faculty Courses School of Engineering Undergraduate major in Systems and Control Engineering
Computational Mechanics
- Academic unit or major
- Undergraduate major in Systems and Control Engineering
- Instructor(s)
- Kenji Amaya / Yusuke Miyazaki
- Class Format
- Lecture (Face-to-face)
- Media-enhanced courses
- -
- Day of week/Period
(Classrooms) - 5-6 Mon / 5-6 Thu
- Class
- -
- Course Code
- SCE.S304
- Number of credits
- 200
- Course offered
- 2025
- Offered quarter
- 2Q
- Syllabus updated
- Apr 1, 2025
- Language
- Japanese
Syllabus
Course overview and goals
"This course focuses on the computational mechanics used in the analysis of engineering designing.
Topics include finite element methods of potential problems, finite element methods of mechanics of materials and finite differential methods of fluid dynamics.By combining lectures and exercises, the course enables students to understand and acquire the fundamentals of Computational mechanics.
Course description and aims
By the end of this course, students will be able to:
1) Understand the theory of finite element methods for potential problems.
2) Understand the theory of finite element methods for mechanics of materials.
3) Understand the theory of finite differential methods for fluid dynamics.
4) Acquire the knowledge to perform the practical numerical simulation with FEM and FDM.
Keywords
finite element methods, finite differential methods, potential problems, boundary problems, mechanics for materials, fluid dynamics.
Competencies
- Specialist skills
- Intercultural skills
- Communication skills
- Critical thinking skills
- Practical and/or problem-solving skills
Class flow
Students will get the experience of performing the comptational mechanics using package software.
Course schedule/Objectives
| Course schedule | Objectives | |
|---|---|---|
| Class 1 | Basics of numerical simulation | Undersitanding of Basics of numerical simulation |
| Class 2 | Formulation of mathematical model | Understanding of Formulation of mathematical model |
| Class 3 | Galerkin method and Ritz method | Understanding of Galerkin method and Ritz method |
| Class 4 | 1 dimensional FEM for potential boundary problems | Understanding of 1 dimensional FEM for potential boundary problems |
| Class 5 | 2 dimensional FEM for potential boundary problems | Understanding of 2 dimensional FEM for potential boundary problems |
| Class 6 | fundamental equations for Computational Fluid Dynamics | Understanding of fundamental equations for Computational Fluid Dynamics |
| Class 7 | basics of FDM | Understanding of basics of FDM |
| Class 8 | fluid analysis by stream function and potential function | Understanding of fluid analysis by stream function and potential function |
| Class 9 | fluid analysis using pressure and flow rate | Understanding of fluid analysis using pressure and flow rate |
| Class 10 | Basic equations of elastic finite element method | Understanding of Basic equations of elastic finite element method |
| Class 11 | Various elements | Understanding of Various elements |
| Class 12 | Dynamical problem in FEM | Understanding of solving dynamical problem in FEM |
| Class 13 | How to give of geometric models and boundary conditions | Understanding of How to give of geometric models and boundary conditions |
| Class 14 | Practice of elastic finite element method | Experience of Practice of elastic finite element method |
| Class 15 | Numerical simulations in real world | Understantidn of Numerical simulations in real world |
Study advice (preparation and review)
To enhance effective learning, students are encouraged to spend approximately 100 minutes preparing for class and another 100 minutes reviewing class content afterwards (including assignments) for each class.
They should do so by referring to textbooks and other course material.
Textbook(s)
unfixed
Reference books, course materials, etc.
Yugen Yoso Hou Gaisetsu, Fumio Kikuchi, Saiensu-sha
Evaluation methods and criteria
Students' knowledge of Computational fluid dynamics and Finite element method of elastic problem,
and their ability to apply them to problems will be assessed.
report problems 60%, exercise problems 40%.
Related courses
- SCE.M301 ： Continuum Mechanics
Prerequisites
Students must have successfully completed Continuum mechanics or have equivalent knowledge.