On the Clark–α model of turbulence: global regularity and long-time dynamics
On the Clark–α model of turbulence: global regularity and long-time dynamics
In this paper we study a well-known three-dimensional turbulence model, the filtered Clark model, or Clark–α model. This is a large eddy simulation (LES) tensor-diffusivity model of turbulent flows with an explicit spatial filter of width α. We show the global well-posedness of this model with constant Navier–Stokes viscosity. Moreover, …