FFMD simulation with the initial condition of I = 0 and ﹩W={B}_{0}{{\rm{\Omega }}}_{{\rm{F}}}=0﹩, except for the very thin region ﹩{r}_{{\rm{H}}}-{\delta }_{\mathrm{jc}}\lt r\lt {r}_{{\rm{H}}}+{\delta }_{\mathrm{jc}}﹩ (﹩{\delta }_{\mathrm{jc}}=0.002﹩) around the rapidly spinning black hole (a_* = 0.95). The dashed lines show the quantities at t = 0. The dotted and solid lines show the results at t = 25M and t = 50M, respectively. The horizontal dashed–dotted lines show the analytical values of the steady state, and the vertical dashed–dotted lines show the horizon of the spinning black hole. The region of finite P, I, and W spreads very slowly. Once the region spreads away from near the horizon, it spreads rapidly.