DescriptionTurbulence is often referred to as the last open problem of classical mechanics. It is a problem of both fundamental importance and with a wide range of applications, in earth and atmospheric science, plasma physics, aerospace engineering, and many other areas. Despite nearly a century of efforts by the best minds, many questions remain open, and considerable progress has only been achieved for idealized situations, such as homogeneous and isotropic turbulence. The goal of the session is to bring together specialists from various subfields of turbulence research, so that ideas can be exchanged accross different subfields. SpeakersBelow is a list of speakers that have agreed to attend, as of today. We can accomodate another 5 speakers. If you would like to attend please email me the title and abstract of your talk.

While it is well known that the nonlinearity also conserves the global integral of any arbitrary C1 function of the scalar vorticity field, the direction of transfer of these quantities in wavenumber space remains unclear. Numerical investigations of this problem are hampered by the fact that pseudospectral simulations, which necessarily truncate the wavenumber domain, do not conserve these higherorder Casimir invariants. In this work we develop estimates for the degree of nonconservation of the Casimir invariants and demonstrate that with sufficiently wellresolved simulations, their cascade directions can in fact be numerically determined.