An implicit high-order spectral difference approach for large eddy simulation

  • Authors:

  • M. Parsani;G. Ghorbaniasl;C. Lacor;E. Turkel

  • Affiliations:

  • Vrije Universiteit Brussel, Department of Mechanical Engineering, Fluid Dynamics and Thermodynamics Research Group, Pleinlaan 2, 1050 Brussel, Belgium;Vrije Universiteit Brussel, Department of Mechanical Engineering, Fluid Dynamics and Thermodynamics Research Group, Pleinlaan 2, 1050 Brussel, Belgium;Vrije Universiteit Brussel, Department of Mechanical Engineering, Fluid Dynamics and Thermodynamics Research Group, Pleinlaan 2, 1050 Brussel, Belgium;Tel-Aviv University, Department of Mathematics, Tel-Aviv, Ramat Aviv 69978, Israel

  • Venue:
  • Journal of Computational Physics
  • Year:
  • 2010

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Abstract

The filtered fluid dynamic equations are discretized in space by a high-order spectral difference (SD) method coupled with large eddy simulation (LES) approach. The subgrid-scale stress tensor is modelled by the wall-adapting local eddy-viscosity model (WALE). We solve the unsteady equations by advancing in time using a second-order backward difference formulae (BDF2) scheme. The nonlinear algebraic system arising from the time discretization is solved with the nonlinear lower-upper symmetric Gauss-Seidel (LU-SGS) algorithm. In order to study the sensitivity of the method, first, the implicit solver is used to compute the two-dimensional (2D) laminar flow around a NACA0012 airfoil at Re=5x10^5 with zero angle of attack. Afterwards, the accuracy and the reliability of the solver are tested by solving the 2D ''turbulent'' flow around a square cylinder at Re=10^4 and Re= 2.2x10^4. The results show a good agreement with the experimental data and the reference solutions.