Numerical methods for fluid dynamics

Numerical simulation is playing an expanding role in the study of fluid dynamics and often complements experiments and theory. In this course, we will introduce and analyse the various methods available to solve the partial differential equations relevant to fluid dynamics. We will study their application to a wide variety of problems and highlight the effects of discretisation strategies. The objective of the course is to gain a practical knowledge, but also a general view of the existing methods and the ability to decide on the best suited choice for a given problem.

 

Fluid Flow
Physics of multicellular systems

The development of animals, starting from a single cell to produce a fully formed organism, is a fascinating process. Its study is currently advancing at a rapid pace thanks to combined experimental and theoretical progress, with yet many fundamental questions remaining to be understood. 

This course will address the fundamental theoretical concepts underlying the self-organization of multicellular systems, from genetic regulation to the mechanics of active biological materials. The course will be based on various concepts of theoretical physics: dynamical systems, soft an active matter, mechanics of continuous media, numerical modeling, etc.