The role of continuity in residualbased variational multiscale modeling of turbulence
 I. Akkerman,
 Y. Bazilevs,
 V. M. Calo,
 T. J. R. Hughes,
 S. Hulshoff
 … show all 5 hide
Abstract
This paper examines the role of continuity of the basis in the computation of turbulent flows. We compare standard finite elements and nonuniform rational Bsplines (NURBS) discretizations that are employed in Isogeometric Analysis (Hughes et al. in Comput Methods Appl Mech Eng, 194:4135–4195, 2005). We make use of quadratic discretizations that are C ^{0}continuous across element boundaries in standard finite elements, and C ^{1}continuous in the case of NURBS. The variational multiscale residualbased method (Bazilevs in Isogeometric analysis of turbulence and fluidstructure interaction, PhD thesis, ICES, UT Austin, 2006; Bazilevs et al. in Comput Methods Appl Mech Eng, submitted, 2007; Calo in Residualbased multiscale turbulence modeling: finite volume simulation of bypass transition. PhD thesis, Department of Civil and Environmental Engineering, Stanford University, 2004; Hughes et al. in proceedings of the XXI international congress of theoretical and applied mechanics (IUTAM), Kluwer, 2004; Scovazzi in Multiscale methods in science and engineering, PhD thesis, Department of Mechanical Engineering, Stanford Universty, 2004) is employed as a turbulence modeling technique. We find that C ^{1}continuous discretizations outperform their C ^{0}continuous counterparts on a perdegreeoffreedom basis. We also find that the effect of continuity is greater for higher Reynolds number flows.
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 Title
 The role of continuity in residualbased variational multiscale modeling of turbulence
 Open Access
 Available under Open Access This content is freely available online to anyone, anywhere at any time.
 Journal

Computational Mechanics
Volume 41, Issue 3 , pp 371378
 Cover Date
 20080201
 DOI
 10.1007/s0046600701937
 Print ISSN
 01787675
 Online ISSN
 14320924
 Publisher
 SpringerVerlag
 Additional Links
 Topics
 Keywords

 Incompressible flows
 Finite elements
 NURBS
 Navier–Stokes equations
 Boundary layers
 Turbulent channel flows
 Residualbased turbulence modeling
 Isogeometric Analysis
 Continuity of discretization
 Variational multiscale formulation
 Industry Sectors
 Authors

 I. Akkerman ^{(1)}
 Y. Bazilevs ^{(2)}
 V. M. Calo ^{(2)}
 T. J. R. Hughes ^{(2)}
 S. Hulshoff ^{(1)}
 Author Affiliations

 1. Department of Aerospace Engineering, Delft University of Technology, Kluyverweg 1, 2629HS, Delft, The Netherlands
 2. Institute for Computational Engineering and Sciences, The University of Texas at Austin, 201 East 24th Street, 1 University Station C0200, Austin, TX, 78712, USA