| 講演要旨： |
Analogies between kinetic theory and fluid turbulence have been postulated since the early days of turbulence research, particularly with the inspiring notion of
eddy-diffusivity put forward by Boussinesq back in 19th century. However, despite their indisputable value, these analogies have not proven capable of going over the most fundamental problem of fluid turbulence, namely the lack of separation between small and large-scale turbulent excitations. Recent developments in (lattice) kinetic theory raise some hopes that such lack of scale separation may be handled within the framework of suitably stylized forms of kinetic equations, known as Lattice Boltzmann equations. In this seminar, the basic ideas behind the Boltzmann approach to fluid turbulence will be presented, along with high-resolution numerical simulations of real-life turbulent flows of direct industrial relevance, such as flows past cars and airplanes. Finally, an outlook of the major theoretical challenges still facing the kinetic approach to fluid turbulence will be presented. |
