The water impact problem can be classified roughly into two kinds, the
Wagner-type and the Bagnold-type. As the bow flare slamming doesn't
bring the air entrainment, it can be treated as the Wagner-typed impact.
Although the body shape is assumed to be a flat plate, the water pile-up
due to water entry is taken into account in the Wagner's theory.
Moreover, it is very useful for rough design, because the pressure
distribution is given as a simple mathematical formula. Recently we can
make use of the generalized theory, which is applicable to the body
However, since these are based on the plate approximation of a body shape in principle,
the estimation error becomes larger and larger and results in overestimation of
the pressure as the contact angle (viz. deadrise angle) gets
large. Additionally, the relative motion with wave surface needs to be
treated as to the ship motion in waves. The impact force is
formulated as the momentum change of added mass in the Wagner's theory.
So, for better estimation, it is important to determine whether water
impact occurs during ship motions. We are
challenging the development of the rational method by using the BEM.
The simulation of water entry for the 2D body with a bow cross-section is
shown, where the bulbous bow is supposed to emerge from the free
surface. This is one of computational results for the water impact of
the body with concave part.
Periodic motion with velocity 12.1 [m/s] and angular frequency 0.696 [rad/s].