@article{9ef668fd5b3c4689b07ffb447a249da7,
title = "Isogeometric divergence-conforming variational multiscale formulation of incompressible turbulent flows",
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.",
keywords = "Divergence-conforming B-splines, IGA, Incompressible flows, Turbulent flows, VMS",
author = "{van Opstal}, {T. M.} and J. Yan and C. Coley and Evans, {J. A.} and T. Kvamsdal and Y. Bazilevs",
note = "Funding Information: TO and TK acknowledge the financial support from the Norwegian Research Council and the industrial partners of the FSI-WT (216465/E20, http://www.fsi-wt.no) and NOWITECH: Norwegian Research Centre for Offshore Wind Technology (193823/S60, http://www.nowitech.no) projects. YB was partially supported by ARO Award W911NF-14-1-0296, while JY was partially supported by NSF CAREER Award. JE and CC were partially supported by the Air Force Office of Scientific Research under Grant No. FA9550-14-1-0113. The 2D numerical examples were computed using the nutils.org software framework. This work utilized the Janus supercomputer, which is supported by the National Science Foundation (award number CNS-0821794) and the University of Colorado Boulder. The Janus supercomputer is a joint effort of the University of Colorado Boulder, the University of Colorado Denver and the National Center for Atmospheric Research. Publisher Copyright: � 2016 Elsevier B.V.",
year = "2017",
month = apr,
day = "1",
doi = "10.1016/j.cma.2016.10.015",
language = "English (US)",
volume = "316",
pages = "859--879",
journal = "Computer Methods in Applied Mechanics and Engineering",
issn = "0374-2830",
publisher = "Elsevier",
}