Recent progress on the development of a particle method for incompressible single- and multi-phase flow computation

Abstract

The use of particle method in solving the Navier-Stokes equation is attractive from the viewpoint of avoiding the explicit discretization of the nonlinear convection term adopted in the commonly used Eulerian approach. In this paper, we shall report on the progress of our recently developed particle method in solving the Navier-Stokes equation. Starting from the conventional Moving Particle Semi-implicit (MPS) method, several numerical deficiencies have been realized and this has prompted us to venture into a new hybrid particle mesh method (Moving Particle Pressure Mesh) which involves no artificial numerical treatments to ensure numerical instability. Several incompressible single phase and multiphase flow cases are studied to validate our numerical approach. It is found that the numerical results agree considerably well with the reference solutions. © 2006-2017 Asian Research Publishing Network (ARPN). All rights reserved.