Derivation of an improved delta- SPH C model for establishing a three-dimensional numerical wave tank overcoming excessive numerical dissipation

Simulating gravity wave propagation is one of the most important applications of Smoothed Particle Hydrodynamics (SPH) in coastal and ocean engineering. In the present study, we propose an improved ? -SPHC model to overcome the well-known excessive wave dissipation occurring in traditional SPH models. The present scheme is obtained via a rigorous mathematical derivation based on the principle of virtual work. The viscous damping of a standing wave is investigated to demonstrate the accuracy and convergence of the present scheme. Furthermore, a tsunami-like solitary wave is investigated to demonstrate the effectiveness and applicability of the present scheme in solving fully three-dimensional engineering problems. It is demonstrated that the present scheme shows great performance in alleviating the issue of wave attenuation, showing great potential to be applied in those hydrodynamic scenarios where a long-distance and long-term SPH simulation is involved.