Phd in Physics

Introduction to turbulence

Introduction to turbulence

Academic year 2022/2023

Sommario del corso

• Course objectives
• Results of learning outcomes
• Course delivery
• Learning assessment methods
• Program
• Suggested textbooks and readings
• Notes
• Teaching tools

Course objectives

Providing an introduction to the theory of turbulence.

Results of learning outcomes

Knowledge and understanding

• fundamental concepts on the symmetries and conservation properties of the Navier-Stokes equations
• fundamental concepts of the statistical approach to turbulence
• fundamental concepts of scaling and intermittency applied to the description of turbulence

Applying knowledge and understanding

• ability to apply dimensional scaling reasoning to problems 
• ability to treat the Navier-Stokes equations and other similar systems in terms of averages and statistical quantities

Course delivery

The course will be taught in English if requested by the students.

Learning assessment methods

The students will be asked to give a brief (approx. 20 minutes) presentation on a topic related to the course, with a preference for topics connected to their research work.

Program

Experimental laws of turbulence: the law of dissipation and the 5/3 (or 2/3) law

Richardson's cascade

Dimensional derivation of the K41 scaling

Properties of the Navier Stokes Equations

Kolmogorov's 1941 theory of turbulence

Intermittency: experimental and numerical evidence, constraints on the scaling exponents

The multifractal model

Marc Brachet, A Primer in Classical Turbulence Theory (lecture notes, link)

Class schedule

Note

The students are invited to register for the course and contact the teacher via e-mail.

• Teaching materials
• Exams and finals
• Go to Moodle
• Visit the forums