Theoretical analysis and numerical verification of the consistency of viscous smoothed-particle-hydrodynamics formulations in simulating free-surface flows

Colagrossi, A. and Antuono, Matteo and Souto Iglesias, Antonio and Le Touzé, David (2011). Theoretical analysis and numerical verification of the consistency of viscous smoothed-particle-hydrodynamics formulations in simulating free-surface flows. "Physical Review e", v. 84 (n. 2); pp.. ISSN 1539-3755. https://doi.org/10.1103/PhysRevE.84.026705.

Description

Title: Theoretical analysis and numerical verification of the consistency of viscous smoothed-particle-hydrodynamics formulations in simulating free-surface flows
Author/s:
  • Colagrossi, A.
  • Antuono, Matteo
  • Souto Iglesias, Antonio
  • Le Touzé, David
Item Type: Article
Título de Revista/Publicación: Physical Review e
Date: 2011
ISSN: 1539-3755
Volume: 84
Subjects:
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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Abstract

The theoretical formulation of the smoothed particle hydrodynamics (SPH) method deserves great care because of some inconsistencies occurring when considering free-surface inviscid flows. Actually, in SPH formulations one usually assumes that (i) surface integral terms on the boundary of the interpolation kernel support are neglected, (ii) free-surface conditions are implicitly verified. These assumptions are studied in detail in the present work for free-surface Newtonian viscous flow. The consistency of classical viscous weakly compressible SPH formulations is investigated. In particular, the principle of virtual work is used to study the verification of the free-surface boundary conditions in a weak sense. The latter can be related to the global energy dissipation induced by the viscous term formulations and their consistency. Numerical verification of this theoretical analysis is provided on three free-surface test cases including a standing wave, with the three viscous term formulations investigated.

More information

Item ID: 11841
DC Identifier: http://oa.upm.es/11841/
OAI Identifier: oai:oa.upm.es:11841
DOI: 10.1103/PhysRevE.84.026705
Official URL: http://link.aps.org/doi/10.1103/PhysRevE.84.026705
Deposited by: Memoria Investigacion
Deposited on: 15 Oct 2012 12:51
Last Modified: 22 Sep 2014 10:52
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