LJKDeterministic Models and Algorithms: EDPMOISEMGMI Seminar

On Thursday June 29 2017 at 11h00 in Room 106  IMAG Building

Seminary of Mr Patrick FISCHER (Université de Bordeaux)

Numerical simulations of thermalof twodimensional hemispherical turbulence

Summary

The twodimensional Navier Stokes equations are often used as a model for describing turbulence in the atmosphere.
Indeed, atmospheric phenomena are confined in a layer of fluid whose
dimensions are only a few kilometers in the vertical direction and thousands of kilometers in the horizontal directions. Even if this model cannot completely describethe complexity of the atmosphere, two dimensional simulations can still be used to mimic largescale structures motionin the atmosphere. Quite recently H. Kellay et. al designed a new physical experiment: a thermal convection cell
composed by a half soap bubble heated at the equator. This device
allowed them to study thermal convection and the movement of vortices on the surface of the bubble. The purpose of this talk is to present the mathematical model and the numerical simulations of this
hemispherical bubble heated at the equator and to compare the results to known behavior in classical RayleighBenard
convection in three (or two) dimensional containers.
