Theoretical Analysis of the No-Slip Boundary Condition Enforcement in SPH Methods

Macia Lang, Fabricio; Antuono, Matteo; González Gutierrez, Leo Miguel y Colagrossi, A. (2011). Theoretical Analysis of the No-Slip Boundary Condition Enforcement in SPH Methods. "Progress of Theoretical Physics", v. 125 (n. 6); pp. 1091-1121. ISSN 0033-068X. https://doi.org/10.1143/PTP.125.1091.

Descripción

Título: Theoretical Analysis of the No-Slip Boundary Condition Enforcement in SPH Methods
Autor/es:
  • Macia Lang, Fabricio
  • Antuono, Matteo
  • González Gutierrez, Leo Miguel
  • Colagrossi, A.
Tipo de Documento: Artículo
Título de Revista/Publicación: Progress of Theoretical Physics
Fecha: 2011
Volumen: 125
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 aim of the present work is to provide an in-depth analysis of the most representative mirroring techniques used in SPH to enforce boundary conditions (BC) along solid profiles. We specifically refer to dummy particles, ghost particles, and Takeda et al. [Prog. Theor. Phys. 92 (1994), 939] boundary integrals. The analysis has been carried out by studying the convergence of the first- and second-order differential operators as the smoothing length (that is, the characteristic length on which relies the SPH interpolation) decreases. These differential operators are of fundamental importance for the computation of the viscous drag and the viscous/diffusive terms in the momentum and energy equations. It has been proved that close to the boundaries some of the mirroring techniques leads to intrinsic inaccuracies in the convergence of the differential operators. A consistent formulation has been derived starting from Takeda et al. boundary integrals (see the above reference). This original formulation allows implementing no-slip boundary conditions consistently in many practical applications as viscous flows and diffusion problems.

Proyectos asociados

TipoCódigoAcrónimoResponsableTítulo
FP7225967NEXTMUSESin especificarNext generation Multi-mechanics Simulation Environment

Más información

ID de Registro: 11782
Identificador DC: http://oa.upm.es/11782/
Identificador OAI: oai:oa.upm.es:11782
Identificador DOI: 10.1143/PTP.125.1091
URL Oficial: http://ptp.ipap.jp/link?PTP/125/1091/
Depositado por: Memoria Investigacion
Depositado el: 08 Nov 2012 10:53
Ultima Modificación: 26 Ene 2015 14:39
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