Considering Artificial Viscosity in a SPH Model for Simulation of Transom Waves

Abstract

In the current article, a SPH model based on artificial viscosity is utilized to simulate transom stern flow. In this context, Navier-Stokes equations are discretized in SPH formulation. Furthermore, predictor-corrector algorithm is implemented to solve the discretized equation. Due to density fluctuations, a density filter approach is also included. Finally, a rectangular body is considered as transom and is towed by a constant velocity. Moreover, simulations are performed at two different draft based Froude numbers at which complex physical phenomena have been observed. The obtained results are compared against both experimental and numerical solutions existing in literature. Some capabilities of SPH solution are also illustrated.