The course aims to introduce the key concepts of fluid dynamics and turbulence. The study of turbulence will also be based on averaged equations and Reynolds Large-eddy simulation (LES).
At the end of of the course, it is expected from the students the ability to solve problems of fluids dynamics and turbulence that may be encountered in real life. Students are also expected to develop a strong critical opinion on concepts such as predictability and chaos of complex systems such as fluids.
The course is done in a traditional manner by means of lectures with ample space for exercises aimed at establishing the fundamental concepts. The exam will consist of a written test and an oral. Teachers can be contacted by students for questions or requests for further study during office hours or outside prior arrangement.
- Introduction to Fluid Mechanics - Kinematics of incompressible fluids - The Navier-Stokes and energy balances - Irrotational flows and complex formalism - Laminar Flows - The boundary layer theory
- Phenomenological aspects of turbulence: Kolmogorov's 1941 theory and scale invariance in a global sense - The problem of scale invariance violation and the appearance of intermittency: the fractal and multifractal approaches - Introduction to exact models of passive scalar turbulence
P.K. Kundu, Fluid Mechanics, Fifth Edition, 2014.
U. Frisch, Turbulence, Cambridge Univ. Press. 1995;
E. Ott, Chaos in Dynamical Systems, Cambridge Univ. Press. 1993;
Ricevimento: To be arranged via email communication.
ANDREA MAZZINO (President)
PIERANTONIO ZANGHI'
