Abstract: Abstract：Based on COMSOL soft, a method is established to model the discharge processing in Hall effect thruster (HET) channel. The drift diffusion of electron and ion of the plasma is taken as the kernel of the model. Combined with the electromagnetic field, flow and impact reactions inside plasma， the characteristics of HET and distribution of parameters in the channel can be evaluated with proper selection of equations, boundary conditions and solvers. Compared with the results in theory, numerical simulation results demonstrate the effectiveness of the proposed approach， and then the magnetic field optimization design is applied.  

Key words: Keywords： HET, plasma, drift diffusion, finity