"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.
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.
finite element methods, finite differential methods, potential problems, boundary problems, mechanics for materials, fluid dynamics.
|Intercultural skills||Communication skills||✔ Specialist skills||Critical thinking skills||✔ Practical and/or problem-solving skills|
Students will get the experience of performing the comptational mechanics using package software.
|Course schedule||Required learning|
|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||Solving large-scale simultaneous equations||Understanding of Solving large-scale simultaneous equations|
|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|
Yugen Yoso Hou Gaisetsu, Fumio Kikuchi, Saiensu-sha
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%.
Students must have successfully completed Continuum mechanics or have equivalent knowledge.