Heat flux calculation in the semi-collisionless regime for substantial temperature variations including magnetic field

Finite Volume schemes on unstructured grids for non-local models: Application to the simulation of heat transport in plasmas

“…(1.2) is quite simple, and it can be solved numerically by using many efficient methods. However, it turns out that it misses some phenomena that should be inherited form the kinetic modeling, as it has been reported from comparison with experiments or (1D or 2D) kinetic simulations [9,10,4]. Indeed, as e increases, the influence of the deviation of the distribution from the equilibrium Maxwellian state become significant.…”

“…[4][5][6][7]. More elaborate models can be considered, possibly incorporating a description of the fluctuations of the magnetic field [4,8], but such refinements are beyond the scope of the present work.…”

“…Such models based on a more intricate physics are beyond the scope of the present work, where we focus on the design of specific numerical methods to solve (1.3). For discussion of nonlocal models with magnetic fields, we refer to [4][5][6][7]. It is also worth pointing out that, while these non-local models of heat transfer are quite popular in the modeling of laser produced plasmas, their applications to tokamaks' plasmas has also been discussed [18,19].…”