Computational Mechanics

Course title

A0710200

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

To explain physical meaning and mathematical feature of governing equations of fluid motion.
To derive difference equations from differential equations.
Validate stability and error of difference equations.
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.	120minutes
2.	Fundamental equations of fluid motion	Review governing equations of fluid motion	180minutes
2.	Fundamental equations of fluid motion	Watch online material and summarize it.	60minutes
3.	Difference approximation of differentials	Review Taylor expansion of a continuous function.	120minutes
3.	Difference approximation of differentials	Watch online material and summarize it.	60minutes
4.	Finite difference equation	Review the finite difference equation.	120minutes
4.	Finite difference equation	Watch online material and summarize it.	60minutes
5.	1 dimension advection equation	Read 3.2 and 3.3 of the textbook.	120minutes
5.	1 dimension advection equation	Watch online material and summarize it.	60minutes
6.	1 dimension advection equation	Read 3.4 and 3.5 of the textbook.	120minutes
6.	1 dimension advection equation	Watch online material and summarize it.	60minutes
7.	Error analysis	Read 4.1 and 4.2 of the textbook.	120minutes
7.	Error analysis	Watch online material and summarize it.	60minutes
8.	von Neumann stability analysis	Read 4.3 and 4.4 of the textbook.	120minutes
		Read 5.1 of the textbook.	60minutes
		Watch online material and summarize it.	60minutes
9.	Heat conduction equation	Read 5.2 of the textbook.	120minutes
9.	Heat conduction equation	Watch online material and summarize it.	60minutes
10.	Heat conduction equation	Read 5.3 and 5.4 of the textbook.	120minutes
10.	Heat conduction equation	Watch online material and summarize it.	60minutes
11.	Heat conduction equation	Survey numerical simulation of fluid dynamics.	120minutes
11.	Heat conduction equation	Watch online material and summarize it.	60minutes
12.	Programing exercise	Code assignment	300minutes
13.	Programing exercise	Code assignment	300minutes
14.	Final exam.	Review lectures	300minutes
Total.	-	-	2940minutes

Relationship between 'Goals and Objectives' and 'Course Outcomes'

	Report	Programming	Final exam	Total.
1.	10%		10%	20%
2.	10%		10%	20%
3.	10%		10%	20%
4.		30%	10%	40%
Total.	30%	30%	40%	-

Evaluation method and criteria

Report: 30%
Programming: 30%
Final exam.: 40%
At least 60 points out of 100 is needed to pass.

Textbooks and reference materials

Download from scomb

Prerequisites

Taylor expansion, Fourier expansion, and differential equation.

Office hours and How to contact professors for questions

Lunchtime on Monday

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 applicable
N/A	N/A

Education related SDGs:the Sustainable Development Goals

7.AFFORDABLE AND CLEAN ENERGY
9.INDUSTRY, INNOVATION AND INFRASTRUCTURE

Last modified : Fri Mar 18 23:00:34 JST 2022