Описание:Analysis of hydrodynamic flows in terms of normal modes. Raylegh-Benard convection as an example of instability of initial state, self-organisation, secondary instabilities, development of turbulence.
Variational principles. Pattern formation. Basics of perturbation theory and asymptotic analysis.
Stability of Couette flow. Rayleigh-Taylor instability. Internal and inertial waves and their stability.
Numerical methods. Review of Galerkin, finite-difference and finite-volume methods. Spectral-element method as a way to peroform high-order analisys in complex domains. Exemples.
http://vncran.ru/upload/docs/International_forum_2015/12.07_Program_Forum.pdf