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  4. Scaling laws for implicit viscosities in smoothed particle hydrodynamics
 
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2017
Conference Paper
Title

Scaling laws for implicit viscosities in smoothed particle hydrodynamics

Abstract
Smoothed particle hydrodynamics (SPH) is a particle-based method which solves continuum equations such as the Navier-Stokes equations. A periodic fluidic system under homogeneous shear is studied using SPH in the present work. The total pressure of the system and the shear stress contributions from the SPH interaction terms for pressure and viscosity as well as the contribution caused by velocity fluctuations are analyzed. It is found that the pressure and the shear stress contributions obey certain scaling laws depending on physical properties of the system such as compressibility, viscosity and shear rate as well as the spatial resolution. Some of the identified relations resemble scaling laws for the rheology of dense granular flows. These findings render an assessment of the convergence with respect to the spatial resolution of SPH simulations possible. Furthermore, the similarities between numerical SPH particles and physical grains in dense flow provide a deeper understanding of the nature of the SPH method.
Author(s)
Bierwisch, C.
Fraunhofer-Institut für Werkstoffmechanik IWM  
Polfer, P.
Fraunhofer-Institut für Werkstoffmechanik IWM  
Mainwork
Powders and Grains 2017. 8th International Conference on Micromechanics on Granular Media  
Conference
International Conference on Micromechanics on Granular Media 2017  
Open Access
Link
Link
DOI
10.1051/epjconf/201714015008
Language
English
Fraunhofer-Institut für Werkstoffmechanik IWM  
Keyword(s)
  • SPH

  • periodic fluidic system

  • viscosity

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