Abstract: The collisionless shocks are the common phenomena in the interplanetary and interstellar space. They are also the important fundamental subject in the research of plasma physics, space physics and astrophysics. Numerical simulation is widely used in the study of collisionless shocks. Corresponding to the particle simulation, the method of solving the ideal MHD equations with WENO scheme has been presented to simulate the space collisionless shock. Based on the method, the interaction between the quasi-perpendicular collisionless shocks and two kinds of interplanetary structure——C inversed magnetic field and plasmoid with high density has been studied, and the results have also been compared with those of particle simulation, to consider the feasibility and the accuracy of MHD method in the simulation of collisionless shock. The comparison between the results of two method shows that, the MHD simulation can provide most results that are observed in the particle simulation, thus it is feasible to simulate the quasi-perpendicular collisionless shock with MHD method when the dynamic effects can be omitted. It also has a higher computational efficiency than the particle simulation, and will be easier to extend to the 2D or 3D simulation. However, the MHD simulation does not include the effect caused by single particle. So it lacks the capacity to describe the dynamic effects such as the dissipation and detailed structure of collisionless shocks. If the phenomena caused by these effects are not so important in specific research topics, the MHD simulation still can provide satisfied results. In some other cases, MHD simulation can be a convenient way to forecast the behavior of large-scale particle simulation.