Is it possible to use Discontinuous Shapes in Hydrodynamics?

The naval engineering has reached a high degree of sophistication. The need for the improvements of the shapes of ships, propellers, and artifacts is the most important way to get more efficient hydrodynamic designs. The computational fluid dynamic (CFD) plays a central role in the whole optimization process. A new NACA profile, named KNACA, with some discontinuities is proposed and compared with its closest NACA profile in terms of lift and drag. It has been found that KNACA has a 12% lift higher and 14% drag lower than the closest NACA. The KNACA shape needs about 20% less of amount of mass than the closest NACA. In order to complete the analysis of the new profile, a new coding system is also proposed.