A SELECTIVE DUAL VELOCITY ISPH METHOD DIVIDING INTO PHYSICAL AND TRANSPORT VELOCITY FOR FLUID-SOLID PARTICLE MULTIPHASE SIMULATIONS

Abstract

The stabilized ISPH method is a particle method for incompressible flow problems, which is improved by a relaxation term in the pressure Poisson equation of ISPH method in order to maintain uniform particle distributions. It has been confirmed that the relaxation term contributes to enhancements of computational stability and volume conservation simultaneously. However, in fluid-solid multiphase simulations using the stabilized ISPH method, the corrections of the relaxation term become relatively large and negatively affect the computational results because of huge particle density errors around the fluid-solid surface. We propose a selective dual velocity ISPH method, which defines physical and transport velocities, individually. The physical and transport velocities are used for updating physical quantities and for particle positions, respectively, and only the transport velocity involves the affect of relaxation term. The selective dual velocity ISPH method is applied to a dam-break flow with solid particles to show the effectiveness of the proposed method by comparing with the stabilized ISPH method.