2022 Advanced Course of Computational Mechanics

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Academic unit or major
Graduate major in Systems and Control Engineering
Amaya Kenji  Miyazaki Yusuke 
Class Format
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Course description and aims

This course focuses on the advanced computational mechanics used in the analysis of engineering designing.
Topics include finite element methods of dynamical problems, nonlinear analysis and finite differential methods of fluid dynamics.
By combining lectures and exercises, the course enables students to understand and acquire the advanced knowledge of Computational mechanics.

Student learning outcomes

By the end of this course, students will be able to:
1) Understand the theory of finite element methods for dynamical problems
2) Understand the theory of finite element methods for nonlinear problems
3) Understand the theory of large scale problems and multiphysics analysis
4) Acquire the knowledge to perform the practical numerical simulation with FEM and FDM.


computational mechanics, continuum mechanics , eigenvalue analysis , nonlinear analysis , computational fluid dynamics , multi -physics analysis

Competencies that will be developed

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/Required learning

  Course schedule Required learning
Class 1 Numerical simulation of practical engineering problems Understanding numerical simulation of practical engineering problems
Class 2 Development of mathematical models Understanding development of mathematical models
Class 3 FEM of Dynamical problems Understanding FEM of dynamical problems
Class 4 Vibration analysis with FEM Understanding vibration analysis with FEM
Class 5 Fluid Mechanics basic equations Understanding Fluid Mechanics basic equations
Class 6 Introduction to computational fluid mechanics Understanding basics of computational fluid mechanics
Class 7 Numerical analysis of Navier-Stokes equations Understanding Navier-Stokes equations

Out-of-Class Study Time (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.



Reference books, course materials, etc.


Assessment criteria and methods

Students' knowledge of computational fluid dynamics and finite element method for material mechanics and their ability to apply them to practical problems will be assessed. These are evaluated by report problems 60%, exercise problems 40%.

Related courses

  • MAT.C308 : Continuum Mechanics
  • SCE.M304 : Computational Mechanics

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

Students must have successfully completed continuum mechanics or computational mechanics, or have equivalent knowledge.

Contact information (e-mail and phone)    Notice : Please replace from "[at]" to "@"(half-width character).

Kenji Amaya (kamaya[at]mei.titech.ac.jp) Yusuke Miyazaki (y-miyazaki[at]mei.titech.ac.jp)

Office hours

Contact by e-mail in advance to schedule an appointment.

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