Computational Mechanics

, Volume 41, Issue 3, pp 371–378

The role of continuity in residual-based variational multiscale modeling of turbulence

Authors

  • I. Akkerman
    • Department of Aerospace EngineeringDelft University of Technology
    • Institute for Computational Engineering and SciencesThe University of Texas at Austin
  • V. M. Calo
    • Institute for Computational Engineering and SciencesThe University of Texas at Austin
  • T. J. R. Hughes
    • Institute for Computational Engineering and SciencesThe University of Texas at Austin
  • S. Hulshoff
    • Department of Aerospace EngineeringDelft University of Technology
Open AccessOriginal Paper

DOI: 10.1007/s00466-007-0193-7

Cite this article as:
Akkerman, I., Bazilevs, Y., Calo, V.M. et al. Comput Mech (2008) 41: 371. doi:10.1007/s00466-007-0193-7

Abstract

This paper examines the role of continuity of the basis in the computation of turbulent flows. We compare standard finite elements and non-uniform rational B-splines (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 C0-continuous across element boundaries in standard finite elements, and C1-continuous in the case of NURBS. The variational multiscale residual-based method (Bazilevs in Isogeometric analysis of turbulence and fluid-structure interaction, PhD thesis, ICES, UT Austin, 2006; Bazilevs et al. in Comput Methods Appl Mech Eng, submitted, 2007; Calo in Residual-based 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 C1-continuous discretizations outperform their C0-continuous counterparts on a per-degree-of-freedom basis. We also find that the effect of continuity is greater for higher Reynolds number flows.

Keywords

Incompressible flowsFinite elementsNURBSNavier–Stokes equationsBoundary layersTurbulent channel flowsResidual-based turbulence modelingIsogeometric AnalysisContinuity of discretizationVariational multiscale formulation
Download to read the full article text

Copyright information

© Springer Verlag 2007