Modified incompressible smooth particle hydrodynamics in porous media method for modeling the damping of a waves train on an inclined porous structure

Abstract

In this work, the ISPHP method proposed by Akbari and Namin in 2013 has been modified by implementing the Taylor expansion of a classical smoothing function. The modified ISPHP method with the Taylor expansion of the smoothing function, the optimization of the solving of Poisson's equation and the wave maker, has been used to simulate the damping of a waves train on an inclined porous structure. The comparison between the numerical results obtained with the modified ISPHP method and the experimental data obtained by Carrasco et al. in 2020 has shown on the one hand that the modified ISPHP method could be used to study the damping of a waves train on an inclined porous structure and on the other hand that the dimensionless number χ could be used to characterize the energy transformations of the interaction of a waves train and an inclined porous structure.