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Computational Mechanics, May 2013, Volume 51, Issue 5, pp 731-741.
Yaidel Reyes López, Dirk Roose, Carlos Recarey Morfa.
Department of Computer Science, Katholieke Universiteit Leuven, Celestijnenlaan 200A, bus 2402, Heverlee, 3001, Leuven, Belgium and
Centro de Investigaciones de Métodos Computacionales y Numéricos en la Ingeniería (CIMCNI), Universidad Central Marta Abreu de Las Villas (UCLV), Road to Camajuaní Km. 5 1/2, Santa Clara, 54830, Villa Clara, Cuba.
Abstract
In this paper, we present a dynamic refinement algorithm for the smoothed particle Hydrodynamics (SPH) method. An SPH particle is refined by replacing it with smaller daughter particles, which positions are calculated by using a square pattern centered at the position of the refined particle. We determine both the optimal separation and the smoothing distance of the new particles such that the error produced by the refinement in the gradient of the kernel is small and possible numerical instabilities are reduced. We implemented the dynamic refinement procedure into two different models: one for free surface flows, and one for post-failure flow of non-cohesive soil. The results obtained for the test problems indicate that using the dynamic refinement procedure provides a good trade-off between the accuracy and the cost of the simulations.
