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Memorias de investigación
Communications at congresses:
Theoretical analysis of SPH in simulating free-surface viscous flows
Year:2010
Research Areas
  • Mechanical aeronautics and naval engineering
Information
Abstract
A theoretical analysis on the performance, close to a free surface, of the most used SPH formulations for Newtonian viscous terms is carried out in this paper. After an introduction of the SPH formalism, the SPH expressions for the viscous term in the momentum equation are analyzed in their continuous form. Using a Taylor expansion, a reformulation of those expressions is undertaken which allows to characterize the behavior of the viscous term close to the free surface. Under specific flow conditions, we show that the viscous term close to the free surface is singular when the spatial resolution is increased. This problem is in essence related to the incompleteness of the kernel function close to the free surface and appears for all the formulations considered. In order to assess the impact of such singular behavior, an analysis of the global energy dissipation is carried out, which shows that such a free-surface singularity vanishes when the integral quantities are considered. Notwithstanding that, not all the SPH viscous formulas allow the correct evaluation of the energy dissipation rate and, consequently, they may lead to an inaccurate modelling of viscous free-surface flows.
International
Si
Congress
960
Place
Manchester
Reviewers
Si
ISBN/ISSN
0000000000000
Start Date
23/06/2010
End Date
25/06/2010
From page
1
To page
8
5th ERCOFTAC SPHERIC workshop on SPH applications
Participants
  • Autor: Antonio Souto Iglesias (UPM)
  • Autor: Patricia Izaguirre Alza (UPM)
Research Group, Departaments and Institutes related
  • Creador: Grupo de Investigación: CEHINAV (Canal de Ensayos Hidrodinámicos de la E.T.S.I. Navales)
  • Departamento: Enseñanzas Básicas de la Ingeniería Naval
  • Departamento: Arquitectura y Construcción Navales
S2i 2019 Observatorio de investigación @ UPM con la colaboración del Consejo Social UPM
Cofinanciación del MINECO en el marco del Programa INNCIDE 2011 (OTR-2011-0236)
Cofinanciación del MINECO en el marco del Programa INNPACTO (IPT-020000-2010-22)