Hydroelastic analysis of fully nonlinear water waves with floating elastic plate via multiple knot B-splines

•Multiple knots B-spline functions are applied to impose the nonlinear edge plate conditions.•The influence of three different bottom topographies on the hydro-elastic response of a floating plate is investigated.•Plate's edge conditions are treated in nonlinear form.•Because of using RBFs, especially Gaussian functions as kernel in the interpolating method of RBF-type artificial neural network, there exist some drawbacks.•Multiple knot B-spline functions are efficient to approximate the surfaces that contain low smoothness.

Hydroelastic analysis of fully nonlinear water waves with the floating elastic plate is a hard mission. Especially, the behavior of the wave would be more complex when water wave encounter the floating elastic plate. In this paper, the meshless numerical method is devoted to solve such a problem. Fundamental solution method is applied to approximate the velocity potential in the fluid domain. When the water wave encounters the plate, the wave function would not be enough smooth in the edge of plate compared to the other points. Hence, to analyze numerically the behavior of wave, the solution space should include the basis functions that are not enough smooth in the edge of plate. Moreover, to decrease computational cost significantly, the basis functions had better to have local compact support. The multiple knot B-spline basis functions are suitable that contain both properties. The number of repeated knots, the degree of B-spline and the spatial points are challengeable that are discussed in this paper. The results are in good agreement with those obtained from other numerical works.