 60  50 0  0.5  1  1.5  2  2.5 0  5e+54  1e+55  1.5e+55  2e+55  2.5e+55 sin $^{2}$2 $_{13}$=10 -3 0  0.5  1  1.5  2  2.5 0  5e+54  1e+55  1.5e+55  2e+55  2.5e+55 sin $^{2}$2 $_{13}$=10 -4 0  0.5  1  1.5  2  2.5 0  5e+54  1e+55  1.5e+55  2e+55  2.5e+55 sin $^{2}$2 $_{13}$=10 -2 normal hierarchy  0  0.5  1  1.5  2  2.5  10  20  30  40 0  5e+54  1e+55  1.5e+55  2e+55  2.5e+55 sin $^{2}$2 $_{13}$=10 -5  0  0.5  1  1.5  2  2.5 0  5e+54  1e+55  1.5e+55  2e+55  2.5e+55 sin$^{2}$2 $_{13}$=10 -4  0  0.5  1  1.5  2  2.5  10  20  30  40  50  60  0  5e+54  1e+55  1.5e+55  2e+55  2.5e+55 sin $^{2}$2 $_{13}$=10 -5 0  0.5  1  1.5  2  2.5 0  5e+54  1e+55  1.5e+55  2e+55  2.5e+55 sin$^{2}$2 $_{13}$=10 -2 inverted hierarchy 0  0.5  1  1.5  2  2.5 0  5e+54  1e+55  1.5e+55  2e+55  2.5e+55 sin$^{2}$2 $_{13}$=10 -3 30 FIG. 4: Upper part of each panels are ν$_{e}$ spectra φ ( ν$_{e}$ ) in every 1 second. Solid (red) and dotted (blue) lines are the calculated results with and without shock wave, respectively. Lower part of each panel is the ratio of the spectra with shock to without shock, φ$_{with}$ ( E$_{ν}$ ) /φ$_{without}$ ( E$_{ν}$ ), at t = 1(red), 2(green), 3(blue), 4(purple) and 5(sky blue) sec. The value of sin $^{2}$2 θ$_{13}$ is 10 − $^{2}$, 10 − $^{3}$, 10 − 4 and 10 − 5 from top to bottom. Left and right panels are in normal and inverted hierarchy, respectively.