Meshless Numerical Simulation of 3D Fully-nonlinear Wave Generation Exerted by Moving Boundaries

The objective of this paper focuses on the application of meshless method to simulate fully nonlinear water wave generation exerted by moving boundaries. In order to construct this meshless numerical model, three dimensional fundamental solution of Laplace equation is chosen to solve velocity potential, and two dimensional Gaussian radial basis function is used to calculate gradient of free surface. The elevation of free surface can be solved by using the fully nonlinear free-surface boundary conditions. In addition, an explicit time marching technique is developed by utilizing the leap-frog second-order central difference scheme. or numerical simulation, firstly, sloshing problem is proceeded with horizontal simple-harmonic motion boundary. Mass conservation and shape of wave are checked with other study to compare the differences between linear and nonlinear waves. It shows that, present numerical results agree very well with other research results. Furthermore, present results reveal more nonlinear characteristics. In the second case, nonlinear wave generation is simulated with a vertical moving bed boundary for purpose of figuring out tsunami wave motion, including processes of its generation, propagation, and transformation on a sloping bed.