Theoretical study on slamming and transition stages of normal impacts of symmetrical bodies on calm and wavy water surfaces

Formulations of Hydrodynamic Force in the Transition Stage of the Water Entry of Linear Wedges with Constant and Varying Speeds

“…The predictions of Eqs. (25) are in good agreement with the HBF results, while those of Eqs. (23) show much discrepancies with the HBF results.…”

“…( 23) only include the effect of constant speed impact while those of Eqs. (25) include the effect of constant speed impact and the acceleration effect.…”

“…16 shows the comparisons between the predictions of Eq. ( 23), the modified Wagner's model (MWM) [25] and the CFD method for the cases of β = 15 The comparisons in the ranges of small and large deadrise angles are also provided in Figs. 17 and 18.…”

“…Eq. (25) slamming transition Fig. 25: The comparisons of the predictions of accelerations of wedge with β = 30 • between the CFD without gravity of fluid, BEM of Bao et al [32] with gravity of fluid, theory of Wen et al [21] without considering the transition stage, Eqs.…”

“…Although the agreement with the numerical results is better than the Logvinovich's model with correction 1+tan 2 β, there is still some discrepancy and the FBC needs more improvement. Wen et al [25] proposed the curved FBC to improve the accuracy of linear FBC of Tassin et al [23] based on a modified Wagner's model (MWM). They introduced another parameter k and provided explicit equations to determine β L and k. Their predictions were in better agreement with the numerical results than the linear FBC of Tassin et al [23].…”