  In high energy heavy-ion collisions, the final anisotropic flow coefficients
and their corresponding event-plane correlations are considered as the medium
evolutional response to the initial geometrical eccentricities and their
corresponding participant-plane correlations. We formulate a systematic
theoretical analysis to study the hydrodynamical responses concerning higher
order effects in Pb+Pb collisions at $\sqrt{s_\text{NN}}=2.76$ TeV by using
Monte Carlo Glauber (MC-Glauber) model. To further understand the
transformations of the initial participant-plane correlation, we construct a
new set of events which randomize the directions of the initial participant
planes of the original events. Our results indicate that the final strong
event-plane correlations are mainly transformed from the large initial
eccentricities, rather than the strong participant-plane correlations. However,
the large flow coefficients and the discrepancies between the flow coefficients
calculated by the single-shot and event-by-event simulations in peripheral
collisions are relevant to those strong initial participant-plane correlations.
