Numerical research on the interaction between ionized gas and magnetic field under high hall parameter

By coupling Poisson's equation for the electric potential field with flow-field N-S equations through Lorentz force and the joule heat, numerical simulation of magneto-fluid with low magnetic Reynolds number was carried out. The influence of the Hall effect and the external circuit was considered. The Poisson's equation ill-conditioned matrix caused by high Hall parameter was overcomed by LUSGS pretreatment BI-CGSTAB algorithm without pseudo time step. Numerical simulations of two kind of phenomenon, hypersonic magneto-fluid flow around a circular cylinder when Hall parameter reaching about 10² and the energy deposition in scramjet isolator, indicate that external circuit, electrode cooling measures and plasma uniformity have great influence on the electro-magnetic force.