Advertisement

On Scale Separation in Large Eddy Simulations

  • Roel VerstappenEmail author
Conference paper
Part of the ERCOFTAC Series book series (ERCO, volume 20)

Abstract

Since the larger eddies in turbulent flow cannot reach a near equilibrium between the rate at which energy is supplied and the rate at which energy is dissipated (by the action of viscosity), they break up, transferring their energy to somewhat smaller scales.

Keywords

Large Eddy Simulation Direct Numerical Simulation Eddy Viscosity Closure Model Smagorinsky Model 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. 1.
    Guermond, J.L., Oden, J.T., Prudhomme, S.: Mathematical perspectives on large eddy simulation models for turbulent flows. J. Math. Fluid Mech. 6, 194–248 (2004)CrossRefzbMATHMathSciNetGoogle Scholar
  2. 2.
    Sagaut, P.: Large Eddy Simulation for Incompressible Flows. Springer, Berlin (2001)CrossRefzbMATHGoogle Scholar
  3. 3.
    Payne, L.E., Weinberger, H.F.: An optimal Poincaré inequality for convex domains. Arch. Rat. Mech. Anal. 5, 286–292 (1960)CrossRefzbMATHMathSciNetGoogle Scholar
  4. 4.
    Clark, R.A., Ferziger, J.H., Reynolds, W.C.: Evaluation of subgrid-scale models using an accurately simulated turbulent flow. J. Fluid Mech. 91, 1–16 (1979)CrossRefzbMATHGoogle Scholar
  5. 5.
    Vreman, B.: An eddy viscosity subgrid-scale model for turbulent shear flow: Algebraic theory and applications. Phys. Fluids 16, 3670 (2004)CrossRefGoogle Scholar
  6. 6.
    Verstappen, R., Bose, S., Lee, J., Choi, H., Moin, P.: A dynamic eddy-viscosity model based on the invariants of the rate-of-strain. In Proceedings of the summer program 2010, Center for Turbulence Research, Stanford 183–192 (2011)Google Scholar
  7. 7.
    Verstappen, R.: When does eddy viscosity damp subfilter scales sufficiently? J. Sci. Comput. 49, 94–110 (2011)CrossRefzbMATHMathSciNetGoogle Scholar
  8. 8.
    Guerts, B.J., Holm, D.D.: Regularization modeling for large-eddy simulation. Phys. Fluids 15, L13–16 (2003)CrossRefGoogle Scholar
  9. 9.
    Verstappen, R.: On restraining the production of small scales of motion in a turbulent channel flow. Comput. Fluids 37, 887–897 (2008)CrossRefzbMATHMathSciNetGoogle Scholar
  10. 10.
    Moser, R.D., Kim, J., Mansour, N.N.: Direct numerical simulation of turbulent channel flow up to Re\(_{\tau }\) = 590. Phys. Fluids 11, 943–945 (1999)CrossRefzbMATHGoogle Scholar
  11. 11.
    Verstappen, R.W.C.P., Veldman, A.E.P.: Symmetry-preserving discretization of turbulent flow. J. Comp. Phys. 187, 343–368 (2003)CrossRefzbMATHMathSciNetGoogle Scholar

Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.Johann Bernoulli Institute for Mathematics and Computer ScienceUniversity of GroningenGroningenThe Netherlands

Personalised recommendations