Lagrangian and Eulerian MHD turbulence and beyond

点击翻译按钮获取中文摘要

Although enormous progress has been achieved in understanding homogeneous isotropic Lagrangian and Eulerian fluid and plasma turbulence, the application to turbulence in bounded geometries and to the dynamics on kinetic scales is still in its infancy. We will address turbulence in bounded geometries motivated by the VKS and Madison dynamo experiment. The techniques on Lagrangian turbulence developed in the first phase of the FOR will be applied to gain a better understanding of the different regimes of dynamo activity (linear, nonlinear, saturated). To achieve this goal, fluid and magnetic boundary conditions will be implemented using the penalty method in the spectral simulation framework LaTu.Since in collisionless plasmas the dissipation mechanism are essentially kinetic, Vlasov simulations on a cluster of graphics cards will be performed to understand alignment properties of magnetic and velocity fluctuations on kinetic scales. In addition, multiscale-multiphysics simulations will be developed were fluid (large scales) and kinetic (small scales) simulations are coupled in a consistent way.