Computational Mechanics

Course title

A0029000

Middle-level Diploma Policy (mDP)

Program / Major	mDP	Goals	Courses
Fundamental Mechanical Engineering	E	機械を製作して運用するために必要な工学特有の手法（計測、制御、設計、加工など）に習熟し、それらを問題の状況に応じて適切に使うことができる。	Main
Advanced Mechanical Engineering	F	産業界や社会の要請を把握して解決するべき課題を設定し、機械工学の学理を応用して異分野を含む融合分野で革新的な機能を創成することができる。	Sub
Environment and Materials Engineering	B	地球環境や地域社会との調和を見据えて、さまざまな工学分野に関わる問題を解決することができる。	Sub
Chemistry and Biotechnology	B	地球環境や地域社会との調和を見据えて、さまざまな工学分野に関わる問題を解決することができる。	Sub
Electrical Engineering and Robotics	D	電気工学や関連する工学の技術分野を課題に適用し、社会の要求を解決するために応用することができる。	Sub
Advanced Electronic Engineering	E	専門的デザイン課題について解決する能力を身に付けることができる。	Sub
Information and Communications Engineering	F	社会のニーズに対して技術課題を主体的に発見し、工学分野における分野横断的な知識も活用しつつ、計画的・継続的に取り組んで課題を達成することができる。	Sub
Computer Science and Engineering	G	技術的課題に対してさまざまな工学分野の知識を関連付けながら主体的に取り組み、継続的に学修する能力を身に付けることができる。	Sub
Urban Infrastructure and Environment	G	⼟⽊⼯学における現実の問題について、⼯学・専⾨基礎知識を⽤いて理解・解決することができる。	Sub

Purpose of class

To master difference equations of advection equation and diffusion equation.

Course description

This course deals with computational fluid dynamics including: advection equation and diffusion equation.

Goals and objectives

Students should be able to explain the physical meaning and mathematical features of governing equations of fluid motion.
Students should be able to derive difference equations from differential equations.
Students should be able to validate stability and error of difference equations.
Students should be able to learn programming in computational science.

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.		40%		40%
Total.	30%	40%	30%	-

Evaluation method and criteria

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

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

Feedback on exams, assignments, etc.

ways of feedback	specific contents about "Other"
Feedback in the class

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 : Sun Mar 15 04:04:24 JST 2026