Ideal MHD simulation of collisionless shockwave

The system of 1-D ideal MHD equations is numerically solved using the WENO scheme. We then simulated the interplanetary collisionless shock wave and investigated the interaction between the perpendicular collisionless shock wave and two kinds of interplanetary structures, structures with opposite magnetic fields and high-density plasmoids. The results are compared with those of particle simulation: they are found to be very similar. For most phenomena concerned with collisionless shock waves, the ideal MHD simulation is accurate and feasible. Moreover, it has a high computational efficiency and is readily extended to the 2-D or 3-D case.