ABSTRACT
In the present work, ISPH with divergencefree velocity field is used to study the propagation of 2D waves generated by a piston wave maker into a wave tank. The wave maker is located at the upstream boundary of the tank and an artificial damping layer on the other side. The kernel summa tion of standard SPH formulation
1 INTRODUCTION
Smoothed Particle Hydrodynamic (SPH) which is purely Lagrangian method developed during the seventies was an attempt to model continuum physics to overcome the limitations of finite difference methods. The Lagrangian method is a meshfree method whereby the computational domain is represented by a set of interpolation points called particles rather than grid cells. Each particle carries an individual mass, position, velocity, internal energy and any other physical quantity which evolves in time according to the governing equations. All particles have a kernel function to define their range of interaction, while the hydrodynamic variables are determined by integral approximations. These methods, where the main idea is to substitute the grid by a set of arbitrarily distributed particles, are expected to be more adaptable and versatile than the conventional grid-based methods, especially for those applications with severe discontinuities in free surface. Shao and Lo (2003) developed the ISPH method based on a strict hydrodynamic formulation and two-step semi-implicit solution process. Compared with the standard SPH, it has been demonstrated that the ISPH approach can improve the computational efficiency and pressure stability (Lee et al. 2008) and thus will be further developed for free-surface flow in this paper.
