A consistent reflected image particle approach to the treatment of boundary conditions in smoothed particle hydrodynamics

Bierbrauer, Frank, Bollada, Peter Charles and Phillips, Timothy Nigel ORCID: https://orcid.org/0000-0001-6455-1205 2009. A consistent reflected image particle approach to the treatment of boundary conditions in smoothed particle hydrodynamics. Computer Methods in Applied Mechanics and Engineering 198 (41-44) , pp. 3400-3410. 10.1016/j.cma.2009.06.014

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Abstract

The particle deficiency problem in the presence of a rigid wall for smoothed particle hydrodynamics (SPH) is considered. The problem arises from insufficient information being available to perform accurate interpolation of data at particles located nearer to the boundary than the support of the interpolation kernel. The standard method for overcoming this problem is based on the introduction of image particles to populate the deficient regions and the use of linear extrapolation to determine the velocity of these image particles from that of fluid particles. A consistent treatment of boundary conditions, utilising the momentum equation to obtain approximations to the velocity of image particles, is described. The method ensures second order approximation of the boundary conditions. It is validated for Poiseuille and Couette flow, for which analytical series solutions exist and shows second order convergence under certain conditions.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Earth and Environmental Sciences Mathematics
Uncontrolled Keywords:	Smoothed particle hydrodynamics ; Boundary conditions ; Image particle ; Newtonian fluid ; Poiseuille flow ; Couette flow
Publisher:	Elsevier
ISSN:	0045-7825
Last Modified:	18 Oct 2022 13:02
URI:	https://orca.cardiff.ac.uk/id/eprint/12141

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