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An Analysis of Time-Integration Errors in Large-Eddy Simulation of Incompressible Turbulent Flows

  • F. CapuanoEmail author
  • E. M. De Angelis
  • G. Coppola
  • L. de Luca
Conference paper
Part of the ERCOFTAC Series book series (ERCO, volume 25)

Abstract

There is widespread theoretical and numerical evidence that Large-Eddy Simulation (LES) of turbulent flows has to be performed using high-order accurate numerical schemes. Much of the research has so far focused on the spatial discretization, coming to the conclusion that: (1) higher-order methods (\({\ge }2\)) are preferred, to ensure that the magnitude of the truncation error does not overwhelm the subgrid-scale model contribution, and (2) non-dissipative (centered) schemes should be employed, so that the energy cascade mechanism is not artificially contaminated (Capuano et al, J Comput Phys 295:209–229, 2015), [2], (Capuano et al, Progress in turbulence VI. Springer, Berlin, 2016), [3].

References

  1. 1.
    Capuano, F., Coppola, G., de Luca, L.: An efficient time advancing strategy for energy-preserving simulations. J. Comput. Phys. 295, 209–229 (2015)MathSciNetCrossRefGoogle Scholar
  2. 2.
    Capuano, F., Coppola, G., Balarac, G., de Luca, L.: Energy preserving simulations at a reduced computational cost. J. Comput. Phys. 298, 480–494 (2015)MathSciNetCrossRefGoogle Scholar
  3. 3.
    Capuano, F., Coppola, G., de Luca, L.: Low-cost energy-preserving RK schemes for turbulent simulations. In: Peinke, J., Kampers, G., Oberlack, M., Wacawczyk, M., Talamelli, A. (eds.) Progress in Turbulence VI. Springer Proceedings in Physics, vol 165, Springer, Cham (2016)Google Scholar
  4. 4.
    Capuano, F., Coppola, G., Rández, L., de Luca, L.: Explicit Runge-Kutta schemes for incompressible flow with improved energy-conservation properties. J. Comput. Phys. 328, 86–94 (2017)MathSciNetCrossRefGoogle Scholar
  5. 5.
    Choi, H., Moin, P.: Effects of the computational time step on numerical solutions of turbulent flow. J. Comput. Phys 113, 1–4 (1993)CrossRefGoogle Scholar
  6. 6.
    Kravchenko, A.G., Moin, P.: On the effect of numerical errors in large-eddy simulations of turbulent flows. J. Comput. Phys. 131, 310–322 (1997)CrossRefGoogle Scholar
  7. 7.
    Pope, S.B.: Turbulent Flows. Cambridge University Press, Cambridge (2000)Google Scholar
  8. 8.
    Verstappen, R., Wissink, J.G., Veldman, A.E.P.: Direct numerical simulation of driven cavity flows. Appl. Sci. Res. 51, 377–381 (1993)CrossRefGoogle Scholar

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • F. Capuano
    • 1
    Email author
  • E. M. De Angelis
    • 1
  • G. Coppola
    • 1
  • L. de Luca
    • 1
  1. 1.Department of Industrial EngineeringUniversity of Naples Federico IINaplesItaly

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