Theoretical Analysis of SPH in Simulating Free-surface Viscous flows

Colagrossi, A. and Antuono, Matteo and Souto Iglesias, Antonio and Le Touzé, David and Izaguirre Alza, Patricia (2010). Theoretical Analysis of SPH in Simulating Free-surface Viscous flows. In: "5th ERCOFTAC SPHERIC workshop on SPH applications, 2010", 23/06/2010 - 25/06/2010, Manchester. pp. 1-8.

Description

Title: Theoretical Analysis of SPH in Simulating Free-surface Viscous flows
Author/s:
  • Colagrossi, A.
  • Antuono, Matteo
  • Souto Iglesias, Antonio
  • Le Touzé, David
  • Izaguirre Alza, Patricia
Item Type: Presentation at Congress or Conference (Article)
Event Title: 5th ERCOFTAC SPHERIC workshop on SPH applications, 2010
Event Dates: 23/06/2010 - 25/06/2010
Event Location: Manchester
Title of Book: Proceedings of the 5th ERCOFTAC SPHERIC workshop on SPH applications, 2010
Date: 2010
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

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. Not with standing 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.

More information

Item ID: 6795
DC Identifier: http://oa.upm.es/6795/
OAI Identifier: oai:oa.upm.es:6795
Official URL: http://www.mace.manchester.ac.uk/5thspheric/
Deposited by: Memoria Investigacion
Deposited on: 03 May 2011 12:22
Last Modified: 20 Apr 2016 15:57
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