Isogeometric divergence-conforming variational multiscale formulation of incompressible turbulent flows

T. M. van Opstal, J. Yan, C. Coley, J. A. Evans, T. Kvamsdal, Y. Bazilevs

Research output: Contribution to journalArticlepeer-review

Abstract

A new residual-based variational multiscale (RBVMS) formulation for incompressible turbulent flows is proposed that is suitable for discretization using divergence-conforming B-splines. The proposed methodology results in a pointwise satisfaction of the zero-divergence constraint on the discrete velocity field. The velocity fine scales are residual-driven and constructed in a manner that is consistent with the divergence-free constraint on the discrete velocity solution. The resulting formulation is tested on laminar- and turbulent-flow benchmark problems showing excellent stability and accuracy characteristics in both regimes.

Original languageEnglish (US)
Pages (from-to)859-879
Number of pages21
JournalComputer Methods in Applied Mechanics and Engineering
Volume316
DOIs
StatePublished - Apr 1 2017
Externally publishedYes

Keywords

  • Divergence-conforming B-splines
  • IGA
  • Incompressible flows
  • Turbulent flows
  • VMS

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Physics and Astronomy(all)
  • Computer Science Applications

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