Observatorio de I+D+i UPM

Memorias de investigación
Research Publications in journals:
A Boundary Integral SPH Formulation -Consistency and Applications to ISPH and WCSPH-
Year:2012
Research Areas
  • Mathematics,
  • Phisics,
  • Mechanical aeronautics and naval engineering
Information
Abstract
One of the historical problems appearing in SPH formulations is the inconsistencies coming from the inappropriate implementation of boundary conditions. In this work, this problem has been investigated; instead of using typical methodologies such as extended domains with ghost or dummy particles where severe inconsistencies are found, we included the boundary terms that naturally appear in the formulation. First, we proved that in the 1D smoothed continuum formulation, the inclusion of boundary integrals allows for a consistent O(h) formulation close to the boundaries. Second, we showed that the corresponding discrete version converges to a certain solution when the discretization SPH parameters tend to zero. Typical tests with the first and second derivative operators confirm that this boundary condition implementation works consistently. The 2D Poisson problem, typically used in ISPH, was also studied, obtaining consistent results. For the sake of completeness, two practical applications, namely, the duct flow and a sloshing tank, were studied with the results showing a rather good agreement with former experiments and previous results.
International
Si
JCR
Si
Title
Progress of Theoretical Physics
ISBN
0033-068X
Impact factor JCR
2,294
Impact info
Volume
128
Journal number
3
From page
439
To page
463
Month
SIN MES
Ranking
Participants
  • Autor: Fabricio Macia Lang (UPM)
  • Autor: Leo Miguel Gonzalez Gutierrez (UPM)
  • Autor: Jose Luis Cercos Pita (UPM)
  • Autor: Antonio Souto Iglesias (UPM)
Research Group, Departaments and Institutes related
  • Creador: Grupo de Investigación: CEHINAV (Canal de Ensayos Hidrodinámicos de la E.T.S.I. Navales)
  • Departamento: Ciencias Aplicadas a la Ingeniería Naval
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)