On the similarity solution generated by the water impact of a floating wedge

Initial asymptotics of the flow caused by sudden motion of a floating wedge is considered. Sedov's solution is corrected close to the intersection points, where the local flow is non-linear and self-similar at the initial stage. The local flow is calculated by iterations together with the unknown shape pf the free surface. The required number of iterations is essentially reduced with a proper first guess of the free surface shape. The first guess accounts for the features of the local flow obtained by asymptotic methods.