研究期間：10108~10207;Large-amplitude ion- and electron-scale phenomena are commonly observed in the space plasma. It is believed that the cross-scale couplings should play an important role on the formation of these nonlinear waves. However, the traditional second-order explicit simulation codes fail to simulate the cross-scale phenomena due to the accumulations of numerical noise. We have proposed a three-years basic research project. Based on the high-order, low-noise numerical simulation codes we developed in the last few years, we planed to study the cross-scale plasma heating, acceleration, current dissipation, and nonlinear wave formation in the vicinity of the shock waves and boundary layers in the space plasmas. The proposed project was granted for only one year due to limited budget for the regular research projects at NSC last year. Thus, we decide to propose a follow-up two-year basic research project to continue the current research on this subject. Based on the current research results, we propose to study the cross-scale development of the nonlinear waves and the plasma heating and accelerations in the vicinity of shocks, discrete aurora acceleration regions, and the polar cusp regions. We will develop a multi-scale fluid simulation code to study the nonlinear cross-scale evolutions of plasma bubbles in the low- and middle-latitude ionosphere. This simulation code will also be used to study the formation of magnetic flux tube in the solar convection zone and in the solar chromosphere.