COMPUTATIONAL FLUID MECHANICS

CE571

Course Code: CE571
Semester: -
Theory+Practice: 3 + 0
ECTS: 10

Course Type

Elective Course

Course Level

Master's Degree With Thesis

Year of Study

Semester

ECTS

Name of Lecturer(s)

Learning Outcomes

At the end of this course, the students;

Explain the fundamental principles of numerical computation methods and select appropriate techniques for engineering problems,
Solve nonlinear systems using the Newton-Raphson method and evaluate experimental data through numerical interpolation techniques,
Develop explicit and implicit finite difference schemes for fluid mechanics problems and analyze their stability conditions,
Apply appropriate initial and boundary conditions to compute velocity components, stream functions, and vorticity fields, and use the method of characteristics in hydraulic applications.

Mode of Delivery

Face to face

Prerequisites

Recommended Optional Programme Components

None

Course Description

Introduction to numerical computation, Solution of nonlinear systems by Newton-Raphson method, evaluation of experimental data using numerical interpolation, calculation of reservoir emptying time by using numerical integration, explanation of principles of finite differences method, derivation of basic finite difference forms, comparison of explicit and implicit schemes, determination of stability criteria for different schemes, determination of boundary and initial conditions for velocity components, stream functions, and vortices different flow domains, principles of method of characteristics and its applications in hydraulics.

Course Contents

WEEK	TOPICS
1^st Week	Introduction to numerical computation and basic concepts
2^nd Week	Numerical errors and convergence
3^rd Week	Solution of nonlinear systems using the Newton-Raphson method
4^th Week	Numerical interpolation and evaluation of experimental data
5^th Week	Numerical integration and calculation of reservoir emptying time
6^th Week	Principles of the finite difference method
7^th Week	Derivation of basic finite difference formulations
8^th Week	Midterm
9^th Week	Explicit and implicit numerical schemes
10^th Week	Stability analysis of numerical schemes
11^th Week	Determination of initial and boundary conditions in flow domains
12^th Week	Numerical solution of velocity components, stream function, and vorticity
13^th Week	Introduction to the method of characteristics
14^th Week	Hydraulic applications of the method of characteristics
15^th Week	Overview and applications in computational fluid mechanics

Recommended or Required Reading

1. Versteeg H., Malalasekera W., An Introduction to Computational Fluid Dynamics, Prentice Hall, 2007
2. Kumar, M.S.M, Computational Hydraulics, India, 2010.
3. Chapra, S.C., Canale, R.P., Numerical Methods for Engineers, McGraw Hill 1989.
4. Golub, G.H., Ortega, J.M., Scientific Computing and Differential Equation: An Introduction to Numerical Methods, Academic Pres, 1993.

Planned Learning Activities and Teaching Methods

Lecture
Questions/Answers
Presentation

Assessment Methods and Criteria

	Quantity	Percentage (%)
Mid-term	1	30
Assignment	1	10
Quiz	1	20
Total(%)		60
Contribution of In-term Studies to Overall Grade(%)		60
Contribution of Final Examination to Overall Grade(%)		40
Total(%)		100

ECTS Allocated Based on Student Workload

Activities	Quantity	Duration (Hour)	Total Workload (Hour)
Midterm exam	1	2	2
Preparation for Quiz	1	50	50
Individual or group work	14	3	42
Preparation for Final exam	1	80	80
Course hours	14	3	42
Preparation for Midterm exam	1	60	60
Laboratory (including preparation)
Final exam	1	2	2
Homework	1	20	20
Quiz	1	2	2
Total Work Load			300
Total Work Load / 30 (h)			10
ECTS Credit of the Course			10

Language of Instruction

English

Work Placement(s)

Programme Qualifications / Learning Outcomes

	LO1	LO2	LO3	LO4
K1	X	X
K2	X		X
K3
K4		X	X	X
K5			X	X
K6
K7
K8
K9
K10
K11