5 ECTS credits
130 h study time
Offer 1 with catalog number 4016300FNR for all students in the 2nd semester at a (F) Master - specialised level.
Information also available at the following link: https://www.ulb.be/en/programme/2018-meca-h407
Discretization techniques: finite differences, finite volumes, finite elements, spectral methods. Elements of theory of partial differential equations: notion of characteristics, classification. Weak solutions of hyperbolic equations. Numerical methods for evolution problems: notions of consistency, stability & convergence, dissipation & dispersion, explicit & implicit time-stepping schemes. Numerical methods for equilibrium (boundary value) problems. Iterative methods for linear systems. Spatial discretization stability.
Apart from the oral lectures there are exercises sessions and projects (1 project involving implementing a numerical method in Octave/Matlab to solve a model 1D unsteady or 2D steady problem & 1 project involving using a commercial CFD package to study a practical flow problem).
Course notes
Additional:
C. A. J. FLETCHER. Computational techniques for fluid dynamics, Vol. I, Springer, 1988.
C. HIRSCH. Numerical computation of internal and external flows, Vol. I. Butterworth-Heinemann, 2007.
Information also available at the following lin: MECA - H407. Change the language to English in the dropdown menu on top of the page.
Aims and objectives
To bring the students in contact with the numerical techniques used to solve flow problems, and to show the physical background of these techniques.
Give the student insight in the relation between the physics of the problem and the numerical scheme that is used
Give the student the skills to allow him to independently read and understand books on Computational Fluid Dynamics (CFD)
- Competences en Exam requirements
At the end of the course, the student should be able to select an appropriate numerical method to solve a model problem and implement it. He/she should also be able to use a CFD package to solve practical flow problems possibly in the context of the design of a new product. He/she should have developed an attitude of solving flow problems in a creative way based on CFD and be aware of the innovative solutions CFD can offer. He/she should also have learned that CFD solutions are prone to different errors arising from the grid, the numerical scheme, the convergence level, etc. and therefore he/she should be critical towards his results and those of others. The student should also realize that CFD is a constantly evolving field of science and requires a life-long learning attitude to keep track of the latest developments.
The student is able to read and understand independently books on CFD.
As the outcome of the assignments the student should be able to technically report on research results and be able to function in a team.
Having an attitude of life-long learning as needed for the future development of his/her career.
Having in-depth knowledge and understanding of exact sciences with the specificity of their application to engineering.
Having in-depth knowledge and understanding of the advanced methods and theories to schematize and model complex problems or processes.
Having an in-depth scientific knowledge, understanding and skills in at least one of the subfields needed to design, produce, apply and maintain complex mechanical, electrical and/or energy systems.
Can reformulate complex engineering problems in order to solve them (simplifying assumptions, reducing complexity).
Can correctly report on research or design results in the form of a technical report or in the form of a scientific paper.
Can collaborate in a (multidisciplinary) team.
Having a creative, problem-solving, result-driven and evidence-based attitude, aiming at innovation and applicability in industry and society.
Having a critical attitude towards one's own results and those of others.
The final grade is composed based on the following categories:
Oral Exam determines 39% of the final mark.
Written Exam determines 26% of the final mark.
PRAC Practical Assignment determines 35% of the final mark.
Within the Oral Exam category, the following assignments need to be completed:
Within the Written Exam category, the following assignments need to be completed:
Within the PRAC Practical Assignment category, the following assignments need to be completed:
Oral exam on the theory, written exam on exercises (65% of which 60% for oral and 40% for exercises) and evaluation of the projects (counts for 35%)
This offer is part of the following study plans:
Master of Electromechanical Engineering: Aeronautics and Aerospace (only offered in Dutch)
Master of Electromechanical Engineering: Aeronautics