Numerical simulation and analysis of the transition to turbulence

  • Ch.-H. Bruneau
Invited Lectures
Part of the Lecture Notes in Physics book series (LNP, volume 490)


The aim of this survey is to discuss some of the difficulties one can encounter both when solving Navier-Stokes equations for incompressible flows by an obstacle and analysing the approximate solutions. Far to be exhaustive, some main aspects of the numerical simulation are deliberately pointed out, in addition to the way the obstacle is taken into account and to the far field boundary conditions. Then, using one of the robust methods it is possible to simulate the transition to turbulence for increasing Reynolds numbers. That means to compute transient solutions which need to be analyze and here is the second topic of this paper. Indeed, the classical tools like Fourier analysis are very efficient as long as the solution is periodic but useless when the solution is more complex. Despite the development of wavelets and new algorithms it seems still difficult to distinguish quasi-periodic and chaotic solutions.


Reynolds Number Strouhal Number Multigrid Method Darcy Number Open Boundary Condition 
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.


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© Springer-Verlag 1997

Authors and Affiliations

  • Ch.-H. Bruneau
    • 1
  1. 1.Mathématiques Appliquées de BordeauxUniversité Bordeaux 1Talence cedexFrance

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