Abstract
A backward facing step flow was numerically simulated in two dimensions using a differential model of the LSMPS method which is a higher-order version of the MPS method, aiming at a highly accurate fluid analysis in a particle method simulation of thrombus formation. The differential model was applied to the viscous term of Navier-Stokes equation. Reynolds number was set in the range of 50 to 400. A resolution was 26 particles in a width direction of an inlet. As a result of simulation, numerical accuracy with respect to both velocity distribution of plane Poiseuille flow and reattachment length was improved from that calculated by an original MPS method. This was mainly due to an improvement of accuracy about viscous term calculation nearby channel walls.