An Accurate Ghost Cell Boundary Model for ISPH

Abstract

This study improves and generalizes the ghost cell boundary (GCB) model, which calculates the wall boundary contribution by using cells (elements) and the Gaussian quadrature, focusing on free surface flow analysis using particle methods. The proposed method is applicable to semi-implicit type particle methods including the stabilized ISPH and can use an arbitrary number of integration points. We also clarify how to apply formulation of the fixed ghost particle to the integral points of the GCB model and realize the strict imposition of the wall boundary condition, which has been a problem in conventional methods. The accuracy and versatility of the proposed method are verified by the hydrostatic pressure and dam break problems.