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

Colagrossi, A.; Antuono, Matteo; Souto Iglesias, Antonio y 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.

Descripción

Título: Theoretical analysis and numerical verification of the consistency of viscous smoothed-particle-hydrodynamics formulations in simulating free-surface flows
Autor/es:
  • Colagrossi, A.
  • Antuono, Matteo
  • Souto Iglesias, Antonio
  • Le Touzé, David
Tipo de Documento: Artículo
Título de Revista/Publicación: Physical Review e
Fecha: 2011
Volumen: 84
Materias:
Escuela: E.T.S.I. Navales (UPM)
Departamento: Enseñanzas Básicas de la Ingeniería Naval [hasta 2014]
Licencias Creative Commons: Reconocimiento - Sin obra derivada - No comercial

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Resumen

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.

Más información

ID de Registro: 11841
Identificador DC: http://oa.upm.es/11841/
Identificador OAI: oai:oa.upm.es:11841
Identificador DOI: 10.1103/PhysRevE.84.026705
URL Oficial: http://link.aps.org/doi/10.1103/PhysRevE.84.026705
Depositado por: Memoria Investigacion
Depositado el: 15 Oct 2012 12:51
Ultima Modificación: 22 Sep 2014 10:52
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