On the non-slip boundary condition enforcement in SPH methods.

González Gutierrez, Leo Miguel and Souto Iglesias, Antonio and Macia Lang, Fabricio and Colagrossi, A. and Antuono, Matteo (2011). On the non-slip boundary condition enforcement in SPH methods.. In: "6th International SPHERIC Workshop", 08/06/2011 - 10/06/2011, Hamburgo, Alemania. pp. 283-290.


Title: On the non-slip boundary condition enforcement in SPH methods.
  • González Gutierrez, Leo Miguel
  • Souto Iglesias, Antonio
  • Macia Lang, Fabricio
  • Colagrossi, A.
  • Antuono, Matteo
Item Type: Presentation at Congress or Conference (Article)
Event Title: 6th International SPHERIC Workshop
Event Dates: 08/06/2011 - 10/06/2011
Event Location: Hamburgo, Alemania
Title of Book: Proceedings of 6th International SPHERIC Workshop
Date: 2011
Faculty: E.T.S.I. Navales (UPM)
Department: Enseñanzas Básicas de la Ingeniería Naval [hasta 2014]
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Official URL: http://www.tuhh.de/6th-spheric/home.html


The implementation of boundary conditions is one of the points where the SPH methodology still has some work to do. The aim of the present work is to provide an in-depth analysis of the most representative mirroring techniques used in SPH to enforce boundary conditions (BC) along solid profiles. We specifically refer to dummy particles, ghost particles, and Takeda et al. [1] boundary integrals. A Pouseuille flow has been used as a example to gradually evaluate the accuracy of the different implementations. Our goal is to test the behavior of the second-order differential operator with the proposed boundary extensions when the smoothing length h and other dicretization parameters as dx/h tend simultaneously to zero. First, using a smoothed continuous approximation of the unidirectional Pouseuille problem, the evolution of the velocity profile has been studied focusing on the values of the velocity and the viscous shear at the boundaries, where the exact solution should be approximated as h decreases. Second, to evaluate the impact of the discretization of the problem, an Eulerian SPH discrete version of the former problem has been implemented and similar results have been monitored. Finally, for the sake of completeness, a 2D Lagrangian SPH implementation of the problem has been also studied to compare the consequences of the particle movement

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Item ID: 12707
DC Identifier: http://oa.upm.es/12707/
OAI Identifier: oai:oa.upm.es:12707
Deposited by: Memoria Investigacion
Deposited on: 18 Dec 2012 09:57
Last Modified: 21 Apr 2016 11:59
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