Visualization of the magnetic field lines of the global corona coupled with the RBSL flux rope (yellow tubes) with the background solar wind (pink tubes). Panels a and b illustrate the results viewed from the top and side, respectively. Panels c and d show the zoomed-in views of the red rectangles in panels a and b, respectively. Panels e and f show a typical flux rope in observations that is reflected by the sigmoid viewed on the solar disk and the hot channel at the solar limb. The sigmoid on the solar disk in panel e was observed by the Hinode/XRT. The hot channel above the solar limb in panel f was observed in the SDO/AIA 131 Å band.