implementation of a numerical method of hll for solving of one dimentional magnetohydrodynamic equations in a magnetic accelerator

in this research ideal magnetohydrodynamics equations (mhd) has been solved in a channel of quasi one dimensional plasma flow. magnetohydrodynamics equations, including continuity, momentum, energy and induced magnetic field equations are with the respect of the gauss magnetic condition. the implemented numerical solution is based on harten, lax, vanleer (hlld) discontinuities solution methods. hall effects, ionization process, heat transfer, and viscosity have been neglected in the simulation. electrical conductivity and permeability of free space has been assumed uniform and constant. magnetic shock tube has been investigated for verification of applied numerical simulation in mhd flow. next, a quasi-one dimensional magnetic accelerator has investigated which could be used for the development of magnetoplasmadynamic thruster. the represented non-dimensional results include velocity, magnetic field, density, pressure, and mach number graph in one dimensional magnetic accelerator have been compared with other references which shows appropriate accuracy of the applied numerical method.