Fast and accurate SPH modelling of 3D complex wall boundaries in viscous and non viscous flows

Abstract

The treatment of wall boundary conditions is a difficult issue in the SPH method and still represents a challenging topic in the scientific community. After a review of state of the art wall treatment methods, an SPH method for modelling viscous and non-viscous flows in the presence of 3D complex wall boundaries is presented. New developments embedded in the proposed method include the addition of a Laplacian operator adapted to the adopted formalism, as well as a cutface process for calculating the particle/wall interactions on any type of geometry. Validations are proposed on a 2D Poiseuille flow, a flow around a 2D cylinder, a 3D hydrostatic tank, and a 3D dambreak. Comparisons are performed with results from the literature. Finally, an industrial automotive application is presented as illustration of the method ability to deal with arbitrarily complex geometries.