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Open AccessArticle

Improved δ-SPH Scheme with Automatic and Adaptive Numerical Dissipation

1
Department of Civil, Geological and Mining Engineering, Polytechnique Montréal, 2900 Boulevard Edouard-Montpetit, Montréal, QC H3T 1J4, Canada
2
Group of Numerical Methods in Engineering, E.T.S.E. Camiños, Canais e Portos, Universidade da Coruña, Campus de Elviña, 15071 A Coruña, Spain
3
Arts et Métiers Institute of Technology, CNAM, LIFSE, HESAM University, 75013 Paris, France
*
Author to whom correspondence should be addressed.
Water 2020, 12(10), 2858; https://doi.org/10.3390/w12102858
Received: 1 September 2020 / Revised: 28 September 2020 / Accepted: 4 October 2020 / Published: 14 October 2020
(This article belongs to the Special Issue Computational Fluid Mechanics and Hydraulics)
In this work we present a δ-Smoothed Particle Hydrodynamics (SPH) scheme for weakly compressible flows with automatic adaptive numerical dissipation. The resulting scheme is a meshless self-adaptive method, in which the introduced artificial dissipation is designed to increase the dissipation in zones where the flow is under-resolved by the numerical scheme, and to decrease it where dissipation is not required. The accuracy and robustness of the proposed methodology is tested by solving several numerical examples. Using the proposed scheme, we are able to recover the theoretical decay of kinetic energy, even where the flow is under-resolved in very coarse particle discretizations. Moreover, compared with the original δ-SPH scheme, the proposed method reduces the number of problem-dependent parameters. View Full-Text
Keywords: smoothing particle hydrodynamics; weakly compressible flows; adaptive dissipation smoothing particle hydrodynamics; weakly compressible flows; adaptive dissipation
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MDPI and ACS Style

Krimi, A.; Ramírez, L.; Khelladi, S.; Navarrina, F.; Deligant, M.; Nogueira, X. Improved δ-SPH Scheme with Automatic and Adaptive Numerical Dissipation. Water 2020, 12, 2858. https://doi.org/10.3390/w12102858

AMA Style

Krimi A, Ramírez L, Khelladi S, Navarrina F, Deligant M, Nogueira X. Improved δ-SPH Scheme with Automatic and Adaptive Numerical Dissipation. Water. 2020; 12(10):2858. https://doi.org/10.3390/w12102858

Chicago/Turabian Style

Krimi, Abdelkader; Ramírez, Luis; Khelladi, Sofiane; Navarrina, Fermín; Deligant, Michael; Nogueira, Xesús. 2020. "Improved δ-SPH Scheme with Automatic and Adaptive Numerical Dissipation" Water 12, no. 10: 2858. https://doi.org/10.3390/w12102858

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