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

摘要

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. (C) 2018 Elsevier B.V. All rights reserved.