Journal of Ocean Engineering and Science

Volume 3, Issue 4

(6)Comparing the force due to the Lennard-Jones potential and the Coulomb force in the SPH Method

D.A. Barbosa ^a,∗, F.P. Piccoli ^b

^aOctopus Doﬂeini: Environmental Physics/Laboratory of Simulation of Flows with Free Surface - Federal University of Espírito Santo, Brazil

^bLaboratory of Simulation of Flows with Free Surface - Federal University of Espírito Santo, Brazil

Received 5 May 2018; received in revised form 23 October 2018; accepted 24 October 2018

Available online 28 October 2018

Abstract

Seventy years after the Smoothed Particle Hydrodynamics (SPH) method was created, there was the need to use the solid limit to keep the domain particles of a certain region. This boundary’s treatment is usually done with the use of force derived from potential Lennard-Jones. In our paper, a new boundary treatment technique is presented. Now, we use the Coulomb force to exert a repulsive force on the border to avoid outgoing particles leaving the simulation domain. To test this new technique, the problem of dam break and sloshing was simulated. © 2018 Shanghai Jiaotong University. Published by Elsevier B.V.

This is an open access article under the CC BY-NC-ND license. (http://creativecommons.org/licenses/by-nc-nd/4.0/)

Keywords: Repulsive force; SPH; Coulomb Force; Lennard-Jones.