Skip to main content
Top

2019 | OriginalPaper | Chapter

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

Authors : F. Capuano, E. M. De Angelis, G. Coppola, L. de Luca

Published in: Direct and Large-Eddy Simulation XI

Publisher: Springer International Publishing

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

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].

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Literature
1.
go back to reference Capuano, F., Coppola, G., de Luca, L.: An efficient time advancing strategy for energy-preserving simulations. J. Comput. Phys. 295, 209–229 (2015)MathSciNetCrossRef Capuano, F., Coppola, G., de Luca, L.: An efficient time advancing strategy for energy-preserving simulations. J. Comput. Phys. 295, 209–229 (2015)MathSciNetCrossRef
2.
go back to reference Capuano, F., Coppola, G., Balarac, G., de Luca, L.: Energy preserving simulations at a reduced computational cost. J. Comput. Phys. 298, 480–494 (2015)MathSciNetCrossRef Capuano, F., Coppola, G., Balarac, G., de Luca, L.: Energy preserving simulations at a reduced computational cost. J. Comput. Phys. 298, 480–494 (2015)MathSciNetCrossRef
3.
go back to reference 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) 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)
4.
go back to reference 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)MathSciNetCrossRef 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)MathSciNetCrossRef
5.
go back to reference Choi, H., Moin, P.: Effects of the computational time step on numerical solutions of turbulent flow. J. Comput. Phys 113, 1–4 (1993)CrossRef Choi, H., Moin, P.: Effects of the computational time step on numerical solutions of turbulent flow. J. Comput. Phys 113, 1–4 (1993)CrossRef
6.
go back to reference 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)CrossRef 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)CrossRef
7.
go back to reference Pope, S.B.: Turbulent Flows. Cambridge University Press, Cambridge (2000) Pope, S.B.: Turbulent Flows. Cambridge University Press, Cambridge (2000)
8.
go back to reference Verstappen, R., Wissink, J.G., Veldman, A.E.P.: Direct numerical simulation of driven cavity flows. Appl. Sci. Res. 51, 377–381 (1993)CrossRef Verstappen, R., Wissink, J.G., Veldman, A.E.P.: Direct numerical simulation of driven cavity flows. Appl. Sci. Res. 51, 377–381 (1993)CrossRef
Metadata
Title
An Analysis of Time-Integration Errors in Large-Eddy Simulation of Incompressible Turbulent Flows
Authors
F. Capuano
E. M. De Angelis
G. Coppola
L. de Luca
Copyright Year
2019
DOI
https://doi.org/10.1007/978-3-030-04915-7_5

Premium Partners