I am interested in the (differential) geometric structure of fluid dynamical systems and their statistical properties in relation to turbulence. The quantitative analysis of such complex systems, which span a wide range of scales of motion, requires numerical simulation. From a mathematical viewpoint, it is natural to require for the discrete system to preserve symmetries and invariants of motion of the underlying analytical problem. This is key for a correct representation of fundamental physical mechanisms and their long-time behaviour. The core of my research finds its place in the process that goes from the design of structure-preserving numerical methods all the way to their implementation onto modern supercomputers.
- Gran Sasso Science Institute, mathematics
- Chalmers University of Technology, department of mathematical sciences
- Scuola Normale Superiore di Pisa
Main fields of reasearch:
- Geometric integration of geophysical flows
- Simulation of turbulence
- Stochastic Lie transport modeling of fluid systmes