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An Implicit Discontinuous Galerkin Method with Reduced Memory Footprint for the Simulation of Turbulent Flows

  • A. CrivelliniEmail author
  • M. Franciolini
  • A. Nigro
Conference paper
Part of the ERCOFTAC Series book series (ERCO, volume 25)

Abstract

In recent years the increasing availability of High Performance Computing (HPC) resources strongly promoted Large Eddy Simulation (LES) as a viable approach to the simulation of those moderate Reynolds flow conditions where Reynolds-averaged Navier–Stokes (RANS) formulation fails, e.g. massively separated flows. In particular, the practice of an implicit LES (ILES) based on the Discontinuous Galerkin (DG) method showed to be very promising due to the favourable dispersion and dissipation properties (Bassi et al., Eur J Mech B-Fluid Part 2 55:367–379, 2016, [1]). The high potential of DG approximations for the under-resolved simulation of turbulent flows has already been demonstrated in literature and research on this topic is growing fast (Chapelier, et al., Comput Fluids 95:210–226, 2014, [2], de Wiart et al., Int J Numer Methods Fluids 78:335–354, 2015, [6]). However, how to integrate in the most efficient way the semidiscrete set of NS equations exploiting at best such large computational facilities is an active research topic.

References

  1. 1.
    Bassi, F., Botti, L., Colombo, A., Crivellini, A., Ghidoni, A., Massa, F.: On the development of an implicit high-order Discontinuous Galerkin method for DNS and implicit LES of turbulent flows. Eur. J. Mech. B-Fluid Part 2 55, 367–379 (2016)MathSciNetCrossRefGoogle Scholar
  2. 2.
    Chapelier, J.-B., de la Llave Plata, M., Renac, F., Lamballais, E.: Evaluation of a high-order discontinuous Galerkin method for the DNS of turbulent flows. Comput. Fluids 95, 210–226 (2014)MathSciNetCrossRefGoogle Scholar
  3. 3.
    Franciolini, M., Crivellini, A., Nigro, A.: On the efficiency of a matrix-free linearly implicit time integration strategy for high-order Discontinuous Galerkin solutions of incompressible turbulent flows. Comput. Fluids 159, 276–294 (2017)MathSciNetCrossRefGoogle Scholar
  4. 4.
    Langari, M., Yang, Z.: Numerical study of the primary instability in a separated boundary layer transition under elevated free-stream turbulence. Phys. Fluids 25, 74–106 (2013)CrossRefGoogle Scholar
  5. 5.
    Rang, J., Angermann, L.: New Rosenbrock methods of order 3 for PDAEs of index 2. In: Proceedings of Equadiff-11 2005, pp. 385–394 (2007)Google Scholar
  6. 6.
    de Wiart, C.C., Hillewaert, K., Bricteux, L., Winckelmans, G.: Implicit LES of free and wall-bounded turbulent flows based on the discontinuous Galerkin/symmetric interior penalty method. Int. J. Numer. Methods Fluids 78, 335–354 (2015)MathSciNetCrossRefGoogle Scholar

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Universita’ Politecnica delle MarcheAnconaItaly
  2. 2.Libera Universita’ di BolzanoBolzanoItaly

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