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Improving accuracy of the moving grid particle finite element method via a scheme based on Strang splitting

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10.1016/j.cma.2020.113212
 
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hdl:2117/330867

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Martí, Julio MarceloMés informacióMés informació
Ryzhakov, PavelMés informacióMés informacióMés informació
Document typeArticle
Defense date2020-09
Rights accessOpen Access
Attribution-NonCommercial-NoDerivs 4.0 International
Except where otherwise noted, content on this work is licensed under a Creative Commons license : Attribution-NonCommercial-NoDerivs 4.0 International
ProjectMODELOS AVANZADOS MULTIESCALA PARA LA SIMULACION DEL TRANSPORTE ACOPLADO DE MASA EN PILAS DE COMBUSTIBLE PARA UNA GESTION MAS EFICAZ DEL AGUA (AEI-PGC2018-101655-B-I00)
Abstract
Particle finite element method (PFEM) is a computational tool suitable for simulating fluid dynamics problems characterized by presence of moving boundaries. In this paper a new version of the method for incompressible flow problems is proposed aiming at accuracy improvement. This goal is achieved essentially by applying Strang operator splitting to Navier–Stokes equations and selecting adequate integration schemes for the resulting advective and Stokes sub-problems. For achieving efficient implementation, the pressure and the velocity in the Stokes part are decoupled via the fractional step technique as in the classical PFEM. However, at the first fractional step an explicit pressure prediction procedure for alleviating mass losses is introduced. Three test cases are solved, validating the methodology and estimating its accuracy. The numerical evidence proves that the proposed scheme improves the accuracy of the PFEM.
CitationMarti, J.; Ryzhakov, P. Improving accuracy of the moving grid particle finite element method via a scheme based on Strang splitting. "Computer methods in applied mechanics and engineering", Setembre 2020, vol. 369, p. 113212:1-113212:17. 
URIhttp://hdl.handle.net/2117/330867
DOI10.1016/j.cma.2020.113212
ISSN0045-7825
Publisher versionhttps://www.sciencedirect.com/science/article/pii/S0045782520303972
Other identifiershttps://www.researchgate.net/publication/342502843_Improving_accuracy_of_the_moving_grid_particle_finite_element_method_via_a_scheme_based_on_Strang_splitting
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