A sub-grid surface dynamics model for sub-filter surface tension induced interface dynamics

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Abstract

This paper presents a novel model for the sub-filter surface tension induced motion of interfaces separating immiscible fluids. A key feature of the proposed Sub-Grid Surface Dynamics (SGSD) model is to take the sub-filter interface dynamics fully into account by employing a dual-scale approach. Instead of modeling the sub-filter interface geometry, it is resolved on an auxiliary grid using the Refined Level Set Grid approach. The required sub-filter velocity field on the auxiliary grid is reconstructed solving a PDE in a narrow band surrounding the interface. With the fully resolved interface geometry available, the previously unclosed surface tension term in the filtered Navier-Stokes equations can be directly closed using explicit filtering. The novel model shows excellent results for different test cases, including sub-grid oscillations of drops, the sub-grid Rayleigh-Plateau instability, and the viscous capillary breakup of a ligament.

Original languageEnglish (US)
Pages (from-to)92-101
Number of pages10
JournalComputers and Fluids
Volume87
DOIs
StatePublished - Oct 25 2013

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Keywords

  • Explicit filtering
  • Level set
  • Ligament breakup
  • Sub-grid model
  • Surface tension

ASJC Scopus subject areas

  • Computer Science(all)
  • Engineering(all)

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