The prerequisite(s) for this Teaching Unit (Unité d’enseignement – UE) for the programmes/courses that offer this Teaching Unit are specified at the end of this sheet.
At the end of this learning unit, the student is able to :
a. Contribution of the teaching unit to the learning outcomes of the programme
AA1: 1.1, 1.4, 1.5
AA2: 2.3, 2.4
AA3: 3.4, 3.5
b. Specific learning outcomes of the teaching unit
At the end of this teaching unit, the student will be able to:
1. understand the difference between physical principles and phenomenological laws;
2. assess the reliability and coherence of mathematical models;
3. estimate relevant orders of magnitude in a mathematical model based on partial differential equations;
4. study the budget of physical quantities on fixed or moving control volumes;
5. select the mathematical models relevant to specific flows;
6. solve simple fluid dynamics and reactive transport problems;
7. grasp the specific aspects of geophysical and free-surface flows.
Lagrangian and Eulerian descriptions.
Mass balance, momentum balance, energy and entropy balance.
Non-inertial reference frame.
Dynamic similitude: dimensionless parameters.
Incompressible irrotationnal flows.
Incompressible viscous flows.
Flows with two space scales: lubrication and boundary layers theory.
Natural and forced convection: Boussinesq approximation.
Geophysical flows: geohydrodynamics equations, dimensionless parameters, idealised models.
Free surface flows: 1D and 2D models, linear and non-linear waves, tides, tsunamis.
Due to the COVID-19 crisis, the information in this section is particularly likely to change.Lecture courses.
Exercise sessions aimed at solving problems as realistic as possible.
Invitation to self learning.
Due to the COVID-19 crisis, the information in this section is particularly likely to change.Continuous assessment of knowledge based on homeworks, the development of codes in MATLAB (or any other relevant programming language) and/or oral presentations.
Written exam consisting of problems.
Kundu P., I. Cohen and D. Dowling, 2015 (6th ed.) (ou éditions précédentes), Fluid Mechanics, Elsevier, Amsterdam, 928 pages.