As a further development of the authors' work (Huang and Qian, 1993), in th
is paper a new numerical method based on the time domain boundary element t
echnique is proposed for solving fluid-solid coupling problems, in which a
rigid body impacts normally on the calm surface of a half-space fluid. A fu
ndamental solution to the half-space potential flow problem is first derive
d with the method of images. Then, an equivalent boundary integral equation
in the Laplace transform domain is established by means of Green's second
identity. Through the inverse Laplace transform and discretization in both
time and boundary of the fluid region, the numerical calculation for the pr
oblem under consideration has been carried out. Several examples demonstrat
e that the present method is more efficient than existing ones, from which
it is also seen that the shape of the impacting body has a considerable eff
ect on the total impact force.