A high order fluid model for streamer dynamics is developed by closing the system after the 4th mo- ment of the Boltzmann equation in local mean energy approximation. This is done by approximating the high order pressure tensor in the heat flux equation through the previous moments. The electric field generated by the space charges is calculated with the Poisson equation. Then planar ionization fronts for negative streamers in N2 are simulated both with the classical streamer model in local field approximation, and with the present higher order model. The main differences between the models lie in the degree of ionization behind the front and in the mean electron energies.

Energy (theme 4)
P.G.C. Almeida , L.L. Alves , V. Guerra
Europhysics Conference on the Atomic and Molecular Physics of Ionised Gases
Multiscale Dynamics

Markosyan, A, Dujko, S, & Ebert, U. (2012). High order fluid model for ionization fronts in streamer discharges. In P.G.C Almeida, L.L Alves, & V Guerra (Eds.), .