Yu.N.Savchenko, Yu.A.Semenov
Problem on impact of a plate against a liquid with a free surface of arbitrary shape

Applied hydromechanics, Vol. 15 (87) ¹ 1, (2013) p.75-82
This paper considers a flat plate impacting the free surface of the liquid of infinite depth. The primary interest of the study is to investigate the effect of the prescribed free boundaries on the added mass. An integral hodograph method is used to reduce the problem to a system of two integro-differential equations that are solved numerically using the method of successive approximations. The impact of the plate onto the flat free surface is obtained as a specific case. The effect of the geometry of the flow region on the value of the added mass is discussed.
KEY WORDS:
water impact, added mass, complex potential, free boundaries, integral equations
TEXT LANGUAGE: Russian