Numerical Simulation of A Hypersonic Flow Around A Wedge Within Induced Magnetic and Electric Fields

摘要

The paper presents description of a numerical method for solving 3-D Euler equations added with state equation, Om's law, and plasma kinetic equations that describe processes in a weakly ionized gas. The problem is solved for low magnetic Reynolds numbers associated with a magnetic inductivity that is independent of the gas dynamics. The magnetic field is assumed constant in the computational domain, there is no need to use all the Maxwell equations; thus, only Ohm's law has been added to the governing equation system. The system is solved with a finitevolume approach. The second-order difference scheme is employed. The paper contains results on the numerical simulation of electromagnet-field influence upon the flow around a finite-width wedge after the previous electron-beam ionization of the flow. The calculation has been carried out for the e-beam of V = 20kV voltage and current density of J = 100 mA/cm2. The magnetic-inductive value varied within the range of 1 - 3T. The parameter of a magnetic interaction has been chosen as an estimation criterion for the magnetic-field effect upon the gas stream. Numerical studies have e-beam effect on the flow parameters is insignificant. The position of the bow shock wave can be changed as the magnetic-interaction parameter is of N > 0.01.