“…And based on desingularized blob vortices, which is applicable to free surface flows in the roll damping calculation of vessels with bilge keels and showed similar results. Then, some researchers investigated the effect [4][17] of the bilge keels and the hydrodynamic force [2][5] of the vessels with bilge keels, including the hydrodynamic flow [3]. Generally, the design of bilge keel width for conventional vessels is a balance between appendage resistance and roll reduction, and the effect of the bilge keels width is rare discussed, except for some special conditions [22].…”