Generalized Ohm's law and potential equation in computational weakly-ionized plasmadynamics (Q630381)

The authors derived a new form of generalized Ohm's law that includes separate contributions of different ion motions to the total electric current. The dynamics of ions is obtained from mass and momentum conservation laws for each species under given assumptions on negligible effects of momentum diffusion, collisions between charged species and change in inertia as generally true in the case of weakly ionized plasmas. Such a generalized Ohm's law is further applied to solving the electric field potential equation by a special numerical scheme. The proposed numerical procedure yields better results than standard central-difference methods as it leaves out some pure numerical artefacts.