INVESTIGATION OF KERNEL FUNCTION EFFECT ON THE STABILITY OF CORRECTED MOVING PARTICLE SEMI-IMPLICIT (CMPS) METHOD

In the recent decades, Particle-based Lagrangian methods have been developed in various fields of studies (i.e. astronomy, fluid dynamics, etc.). Moving ParticleSemi - Implicit (MPS) Method is a particle-based lagrangian method with robust capability for numerical representation. The MPS method was applied to hydrodynamicproblems for the numerical simulation of the free surface flows due to breaking waves [1, 3]. Also, other studies have been carried out on the improvement of the accuracyand performance of MPS method [3, 4, 5]. In this study, in order to assess the stability of CMPS method, effect of different kernel functions and types of advanced operators in the Lagrangian modeling, have been tested. In the developed numerical model, the hydrostatic pressure and wave run-up is approximated by the static reservoir model and the impact of wave to the wall, respectively. Comparison of the numerical model results with laboratory measurements and analytical relationshipsreveal that the stability of developed model is increased by using corrected gradient term for a new kernel functions.