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On the Galerkin formulation of the smoothed particle hydrodynamics method
Author(s) -
CuetoFelgueroso L.,
Colominas I.,
Mosqueira G.,
Navarrina F.,
Casteleiro M.
Publication year - 2004
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1011
Subject(s) - smoothed particle hydrodynamics , galerkin method , particle method , particle (ecology) , mathematics , classical mechanics , mechanics , physics , mathematical analysis , finite element method , geology , boundary value problem , thermodynamics , oceanography
In this paper, we propose a Galerkin‐based smoothed particle hydrodynamics (SPH) formulation with moving least‐squares meshless approximation, applied to free surface flows. The Galerkin scheme provides a clear framework to analyse several procedures widely used in the classical SPH literature, suggesting that some of them should be reformulated in order to develop consistent algorithms. The performance of the methodology proposed is tested through various dynamic simulations, demonstrating the attractive ability of particle methods to handle severe distortions and complex phenomena. Copyright © 2004 John Wiley & Sons, Ltd.