Computation of measure valued and statistical solutions of the equations of fluid dynamics.

Siddhartha Mishra
Location
Rennes
Date and time
-
Workshop - Multiscale numerical methods for differential equations

We present a numerical framework to efficiently compute the measure valued and statistical
solutions of the Euler equations, in the both the incompressible as well as the compressible case. This algorithm, based on ensemble averaging, is shown to converge to these generalized notions of solutions. A large number of numerical experiments are presented and links to uncertainty quantification and quantitative descriptions of turbulence are explored.