Journal of Geophysical Research Space Physics Supporting Information for Dipolarization fronts as earthward propagating flux ropes: A threedimensional global hybrid simulation San Lu1,2, Quanming Lu1,2, Yu Lin3, Xueyi Wang3, Yasong Ge4, Rongsheng Wang4, Meng Zhou5, Huishan Fu6, Can Huang1, Mingyu Wu1, and Shui Wang1 1CAS Key Laboratory of Geospace Environment, Department of Geophysics and Planetary Sciences, University of Science and Technology of China, Hefei, China, 2Collaborative Innovation Center of Astronautical Science and Technology, China, 3Physics Department, Auburn University, Auburn, Alabama, USA, 4Key Laboratory of Earth and Planetary Physics, Institute of Geology and Geophysics, Chinese Academy of Sciences, Beijing, China, 5Institute of Space Science and Technology, Nanchang University, Nanchang, China, 6Space Science Institute, School of Astronautics, Beihang University, Beijing, China Contents of this file Text S1 Figures S1 Introduction Based on the computer resource at the moment, we perform four runs with different grid sizes, 0.15RE, 0.2RE, 0.4RE, and 0.8RE. This supporting information provides Figure S1 and a description of it to show a convergent study of the four runs. 1 Text S1. As a convergent study, we compare the simulation results of four runs with different grid sizes, 0.15RE, 0.2RE, 0.4RE, and 0.8RE. No significant differences are observed in the first three runs. Figure S1 plots the (a) ion kinetic energy and (b) total particle numbers of the four runs. The results show a good convergency in the first three runs. Also, the spatial structure of the magnetotail reconnection and DFs/FRs are almost the same in the three runs. Therefore, the grid sizes, on matter 0.15RE, 0.2RE, or 0.4RE are all sufficiently small to resolve the ion kinetic physics in the magnetotail reconnection and DFs/FRs. For the last run, the grid size 0.8RE, larger than the local ion inertial length, is not small enough to resolve the ion kinetic physics in the magnetotail. 2 Figure S1. Time evolutions of (a) ion kinetic energy Ep/Ep0 (where Ep0 is the ion kinetic energy at the initial time) and (b) total particle numbers of the four runs with different grid sizes, 0.15RE, 0.2RE, 0.4RE, and 0.8RE. 3