Towards Time-Stable and Accurate LES on Unstructured Grids

  • Frank Ham
  • K. Mattsson
  • Gianluca Iaccarino
  • Parviz Moin
Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 56)


Control-volume (cv) and node-based (cell-vertex) finite volume discretizations of the incompressible Navier-Stokes equations are compared in terms of accuracy, efficiency, and stability using the inviscid Taylor vortex problem. An energy estimate is shown to exist for both formulations, and stable convective boundary conditions are formulated using the simultaneous approximation term (SAT) method. Numerical experiments show the node-based formulation to be generally superior on both structured Cartesian and unstructured triangular grids, displaying consistent error levels and nearly second-order rates of L 2 velocity error reduction. The cv-formulation, however, out-performs the node-based for the case of Cartesian grids when the Taylor vortices do not cut the boundary.


Dirichlet Boundary Condition Energy Estimate Unstructured Grid Unstructured Mesh Cartesian Grid 
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Copyright information

© Springer 2007

Authors and Affiliations

  • Frank Ham
    • 1
  • K. Mattsson
    • 1
  • Gianluca Iaccarino
    • 1
  • Parviz Moin
    • 1
  1. 1.Center for Turbulence ResearchStanford UniversityStanfordUSA

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