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Article Dans Une Revue Water Année : 2020

Improved δ-SPH Scheme with Automatic and Adaptive Numerical Dissipation

Résumé

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.
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hal-03965804 , version 1 (31-01-2023)

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Abdelkader Krimi, Luis Ramírez, Sofiane Khelladi, Fermín Navarrina, Michael Deligant, et al.. Improved δ-SPH Scheme with Automatic and Adaptive Numerical Dissipation. Water, 2020, 12 (10), pp.1-24. ⟨10.3390/w12102858⟩. ⟨hal-03965804⟩
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