At the end of this course, the students; 1) Derivation of basic fluid mechanics and aerodynamics formulations 2) Application of derived formulas to the gas dynamics problems 3) Application of gas dynamics formulations to the actual engineering problems 4) Explicating results that were found
MODE OF DELIVERY
Face to face
PRE-REQUISITES OF THE COURSE
No
RECOMMENDED OPTIONAL PROGRAMME COMPONENT
COURSE DEFINITION
Aims and basic principles of mathematical modelling. Basic fields of interest: temperature, flow, pressure, velocity, stress, strain. Mathematical models for selected Mechanical Engineering problems selected from different areas of interest. Numerical solution techniques for differential equations. Software for mathematical modelling: pre-processors, solvers and post-processors
COURSE CONTENTS
WEEK
TOPICS
1st Week
1st Week Principles of mathematical modelling, nature of modelling and simulation.
2nd Week
2nd Week Physical models, mathematical models, state variables, system parameters.
3rd Week
3rd Week Classification of mathematical models, experimental data, simulation.
6th Week System of ODE's, numerical solution techniques.
7th Week
7th Week Basic concepts on numerical solutions of partial differential equations (PDE).
8th Week
8th Week Finite difference solution procedures
9th Week
9th Week Finite element solution procedures
10th Week
10th Week Finite volume solution procedures
11th Week
11th Week Numerical solution of heat equation.
12th Week
12th Week Numerical solution of structural mechanics problems
13th Week
13th Week Numerical solution of dynamic problems.
14th Week
14th Week Software for mathematical modelling: pre-processors, solvers and post-processors
RECOMENDED OR REQUIRED READING
(1) Velten, K. Mathematical Modeling and Simulation: Introduction for Scientists and Engineers, Wiley-VCH (2) Basmadjian, D. Mathematical Modeling of Physical Systems: An Introduction. Oxford University Press
PLANNED LEARNING ACTIVITIES AND TEACHING METHODS
Lecture,Presentation,Other
ASSESSMENT METHODS AND CRITERIA
Quantity
Percentage(%)
Mid-term
1
35
Assignment
2
10
Project
2
10
Attendance
1
5
Total(%)
60
Contribution of In-term Studies to Overall Grade(%)
60
Contribution of Final Examination to Overall Grade(%)
40
Total(%)
100
ECTS WORKLOAD
Activities
Number
Hours
Workload
Midterm exam
1
2
2
Preparation for Quiz
3
2
6
Individual or group work
14
3
42
Preparation for Final exam
14
1,5
21
Course hours
14
3
42
Preparation for Midterm exam
7
1,5
10,5
Laboratory (including preparation)
Final exam
1
3
3
Homework
2
3
6
Quiz
3
1
3
Total Workload
135,5
Total Workload / 30
4,51
ECTS Credits of the Course
5
LANGUAGE OF INSTRUCTION
English
WORK PLACEMENT(S)
No
KEY LEARNING OUTCOMES (KLO) / MATRIX OF LEARNING OUTCOMES (LO)
