Lattice kinetic schemes in toroidal geometry

Lattice kinetic schemes has been consistently developed for the last 15 years as a tool to tackle complicated problems from a mesoscopic perspective. The system is described by a velocity distribution function, which follows a BGK kinetic type equation and is evolved under specific constrains in order to ensure a desired macroscopic behavior. This mesoscale scheme has been recently extended to MHD configurations with noticeable success. In the present work the in-house 3D MHDlattice kinetic code is properly modified to simulate dissipative flows in a toroidal geometry. The evolution of the MHD field is followed in time via the aforementioned lattice kinetic solver and numerical results are reported for space dependent and overall quantities