Simulation of Unsteady Incompressible Flow Using a New Particle Method

Abstract

A new particle method, namely the Moving Particle Pressure Mesh (MPPM) method is developed to compute incompressible single- and multi-fluid flows. Unlike the conventional particle method (such as SPH and MPS) whereby the pressure variable is associated with individual moving particle, the pressure is treated as a field (or Eulerian) variable due to the fact that there is no transport equation of pressure can be expressed for an incompressible moving fluid particle. A more accurate method can then be easily devised to evaluate the pressure gradient, which is important in governing the subsequent motion of individual fluid particle. The method is applied to compute several incompressible flow cases and the numerical results agree considerably well with the reference solutions.