A unified model is proposed for axial-radial (z-r) and axial-azimuthal (z-θ) simulations of the plasma flow in Hall thrusters. The hyperbolic-equation system (HES) approach is employed for the magnetized electron fluid calculations. The presented model is applied to z - r and z - θ simulations to examine the range of applicability against the effect of magnetic field. In the z - r simulation, the electron fluid calculation is conducted for the two cases of complicated magnetic field configurations: cusped magnetic field and magnetic shielding. In the z - θ simulation, a long-time plasma simulation of 1.0 ms is conducted. In both z - r and z - θ simulations, the electron fluid calculation using the HES approach showed monotonic convergences, which validates the stability of the presented model.