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

Macia Lang, Fabricio and Antuono, Matteo and González Gutierrez, Leo Miguel and 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.

Description

Title: Theoretical Analysis of the No-Slip Boundary Condition Enforcement in SPH Methods
Author/s:
  • Macia Lang, Fabricio
  • Antuono, Matteo
  • González Gutierrez, Leo Miguel
  • Colagrossi, A.
Item Type: Article
Título de Revista/Publicación: Progress of Theoretical Physics
Date: 2011
ISSN: 0033-068X
Volume: 125
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

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.

Funding Projects

TypeCodeAcronymLeaderTitle
FP7225967NEXTMUSEUnspecifiedNext generation Multi-mechanics Simulation Environment

More information

Item ID: 11782
DC Identifier: http://oa.upm.es/11782/
OAI Identifier: oai:oa.upm.es:11782
DOI: 10.1143/PTP.125.1091
Official URL: http://ptp.ipap.jp/link?PTP/125/1091/
Deposited by: Memoria Investigacion
Deposited on: 08 Nov 2012 10:53
Last Modified: 26 Jan 2015 14:39
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