  The charge asymmetry (Ach) dependence of anisotropic flow serves as an
important tool to search for the chiral magnetic wave (CMW) in heavy-ion
collisions. However, the background effect, such as the local charge
conservation (LCC) entwined with collective flow, has not yet been
unambiguously eliminated in the measurement. With the help of two models, the
AMPT with initial quadrupole moment and the blast wave (BW) incorporating LCC,
we discuss the features of the LCC-induced and the CMW-induced correlations
between Ach and the flow. More importantly, we first propose to use the Event
Shape Engineering (ESE) technique to distinguish the background and the signal
for the CMW study. This method would be highly desirable in the experimental
search for the CMW and provides more insights for understanding the
charge-dependent collective motion of the quark-gluon plasma.
