Investigating the Third Order Solitary Wave Generation Accuracy using Incompressible Smoothed Particle Hydrodynamics

This paper examines the generation and propagation of a third order solitary water wave along the channel. To study the wave propagation phenomenon, here, firstly the meshless Incompressible Smoothed Particle Hydrodynamics (ISPH) numerical method is described. Secondly, the boundary condition handling method, discretization, timestep selection and geometry provitions are presented. The numerical model is then used to simulate solitary wave propagation along the fixed depth channel. Here two still water depths of and are assumed and the dimensionless height of desired wave ranging from to are simulated. The numerical results are compared with analytical data in terms of free surface displacements, fluid particle velocity, phase speed, flow field counters and some other wave parameters. In general, the numerical model gives satisfactory results for the wave kinematics