Course title
A07102003
Computational Mechanics

tange manabu Click to show questionnaire result at 2018
Course description
This course deals with computational fluid dynamics including: advection equation and diffusion equation.
Purpose of class
To master difference equations of advection equation and diffusion equation.
Goals and objectives
  1. To explain physical meaning and mathematical feature of governing equations of fluid motion.
  2. To derive difference equations from differential equations.
  3. Validate stability and error of difference equations.
  4. To learn programming of computational science.
Language
Japanese
Class schedule

Class schedule HW assignments (Including preparation and review of the class.) Amount of Time Required
1. Introduction
Target of CFD
Review equation of continuity of fluid. 90minutes
2. Fundamental equations of fluid motion Review governing equations of fluid motion 90minutes
3. Difference approximation of differentials Review Taylor expansion of a continuous function. 90minutes
4. Finite difference equation Review finite difference equation. 90minutes
5. 1 dimension advection equation Read 3.2 and 3.3 of the textbook. 90minutes
6. 1 dimension advection equation Read 3.4 and 3.5 of the textbook. 90minutes
7. Error analysis Read 3.5 of the textbook. 90minutes
8. von Neumann stability analysis Read 4.1, 4.2, and 4.3 of the textbook. 90minutes
9. Heat conduction equation Read 4.3 and 4.4 of the textbook. 90minutes
10. Heat conduction equation Read 5.1 and 5.2 of the textbook. 90minutes
11. Heat conduction equation Read 5.3 and 5.4 of the textbook. 90minutes
12. Programing exercise Code assignment 90minutes
13. Programing exercise Review lectures 90minutes
14. Final exam. Prepare exam. 90minutes
Total. - - 1260minutes
Relationship between 'Goals and Objectives' and 'Course Outcomes'

Report Programming Final exam Total.
1. 10% 10% 20%
2. 10% 10% 20%
3. 10% 20% 30%
4. 30% 30%
Total. 30% 30% 40% -
Evaluation method and criteria
Report: 20%
Programming: 30%
Final exam.: 50%
Textbooks and reference materials
Download from http://www.mech.shibaura-it.ac.jp/
Prerequisites
Taylor expansion, Fourier expansion, and differential equation.
Office hours and How to contact professors for questions
  • Lunch time after lecture
Relation to the environment
Non-environment-related course
Regionally-oriented
Non-regionally-oriented course
Development of social and professional independence
  • Course that cultivates a basic problem-solving skills
Active-learning course
Most classes are interactive
Course by professor with work experience
Work experience Work experience and relevance to the course content if applicatable
N/A N/A
Last modified : Thu Mar 21 14:24:53 JST 2019