3D coherent vortices in the turbulent near wake of a square cylinder

Christophe Brun; Thomas Goossens

doi:10.1016/j.crme.2008.01.002

3D coherent vortices in the turbulent near wake of a square cylinder
[Tourbillons cohérents 3D dans le proche sillage turbulent d'un cylindre à section carrée]

Présenté par : Marcel Lesieur

Christophe Brun ^1,² ; Thomas Goossens ²

¹ L.E.G.I., BP. 53, 38041 Grenoble cedex 09, France
² L.M.E., 8, rue Léonard-de-Vinci, 45000 Orléans, France

Comptes Rendus. Mécanique, Volume 336 (2008) no. 4, pp. 363-369.

Résumé
Abstract

Nous présentons des résultats de Simulations des Grandes Echelles d'un écoulement de densité uniforme transportant un scalaire passif autour d'un cylindre de section carrée à nombre de Reynolds $Re = 1000$ et $Re = 1500$ . Nous décrivons la topologie tri-dimensionnelle de l'écoulement turbulent sous forme de tourbillons cohérents longitudinaux intenses contrarotatifs. Nous montrons aussi un changement de régime affectant les tourbillons de Kelvin–Helmholtz (KH) transverses. A bas Reynolds, ils se forment en aval de l'obstacle pour constituer l'allée de von Kármán (VK). A haut Reynolds, ils se forment immédiatement dans la couche cisaillée décollée sur les deux parois du cylindre. Le rôle des tourbillons dans le mélange du scalaire passif est aussi étudié.

Large Eddy Simulations of a constant-density flow carrying a passive scalar around a square cylinder at Reynolds numbers $Re = 1000$ and $Re = 1500$ are performed. We describe the three-dimensional topology of the turbulent flow in terms of intense longitudinal counter-rotating coherent vortices. We show also a change of regime concerning spanwise Kelvin–Helmholtz (KH) vortices. At the lower Reynolds number, they roll up downstream of the obstacle to form the von Kármán vortex street (VK). At higher Reynolds, they form immediately in the separating shear layer on the two sides of the cylinder. The role of vortices in the passive-scalar mixing is also looked at.

Reçu le : 2007-12-07
Accepté le : 2007-12-13
Publié le : 2008-02-20

DOI : 10.1016/j.crme.2008.01.002

Keywords: Computational fluid mechanics, Large Eddy Simulation, Turbulence, Cylinder wake, Streamwise vortices, Passive-scalar mixing
Mot clés : Mécanique des fluides numérique, Simulation des Grandes Echelles, Turbulence, Sillage de cylindre, Tourbillons longitudinaux, Mélange de scalaire passif

Affiliations des auteurs :

Christophe Brun ^{1, 2} ; Thomas Goossens ²

¹ L.E.G.I., BP. 53, 38041 Grenoble cedex 09, France
² L.M.E., 8, rue Léonard-de-Vinci, 45000 Orléans, France

@article{CRMECA_2008__336_4_363_0,
     author = {Christophe Brun and Thomas Goossens},
     title = {3D coherent vortices in the turbulent near wake of a square cylinder},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {363--369},
     publisher = {Elsevier},
     volume = {336},
     number = {4},
     year = {2008},
     doi = {10.1016/j.crme.2008.01.002},
     language = {en},
}

TY  - JOUR
AU  - Christophe Brun
AU  - Thomas Goossens
TI  - 3D coherent vortices in the turbulent near wake of a square cylinder
JO  - Comptes Rendus. Mécanique
PY  - 2008
SP  - 363
EP  - 369
VL  - 336
IS  - 4
PB  - Elsevier
DO  - 10.1016/j.crme.2008.01.002
LA  - en
ID  - CRMECA_2008__336_4_363_0
ER  -

%0 Journal Article
%A Christophe Brun
%A Thomas Goossens
%T 3D coherent vortices in the turbulent near wake of a square cylinder
%J Comptes Rendus. Mécanique
%D 2008
%P 363-369
%V 336
%N 4
%I Elsevier
%R 10.1016/j.crme.2008.01.002
%G en
%F CRMECA_2008__336_4_363_0

Christophe Brun; Thomas Goossens. 3D coherent vortices in the turbulent near wake of a square cylinder. Comptes Rendus. Mécanique, Volume 336 (2008) no. 4, pp. 363-369. doi : 10.1016/j.crme.2008.01.002. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2008.01.002/

Bibliographie
Cité par

[1] C. Brun, T. Goossens, S. Aubrun, P. Ravier, Coherent structures and their frequency signature in the separated shear layer on the sides of a square cylinder, Flow, Turbulence and Combustion (2008), in press

[2] M.S. Bloor The transition to turbulence in the wake of a circular cylinder, J. Fluid Mech., Volume 19 (1964), p. 290

[3] T. Wei; C.R. Smith Secondary vortices in the wake of circular cylinders, J. Fluid Mech., Volume 169 (1986), p. 513

[4] P. Comte; J.H. Silvestrini; P. Bégou Streamwise vortices in large-eddy simulations of mixing layers, Eur. J. Mech. B/Fluids, Volume 17 (1998) no. 4, pp. 615-637

[5] C.B. da Silva; O. Métais On the influence of coherent structures upon interscale interactions in turbulent plane jets, J. Fluid Mech., Volume 473 (2002), pp. 103-145

[6] C.B. da Silva; O. Métais Vortex control of bifurcating jets: a numerical study, Phys. Fluids, Volume 14 (2002) no. 1, pp. 3798-3819

[7] M. Maidi Estimation of aerodynamic noise generated by forced compressible round jets, C. R. Mecanique, Volume 334 (2006), pp. 285-291

[8] G. Balarac; M. Si Ameur Mixing and coherent vortices in turbulent coaxial jets, C. R. Mecanique, Volume 333 (2005), pp. 622-627

[9] L.P. Bernal; A. Roshko Streamwise vortex structure in plane mixing layers, J. Fluid Mech., Volume 170 (1986), pp. 499-525

[10] J.C. Lasheras; J.S. Cho; T. Maxworthy The origin and evolution of streamwise vortical structures in a plane, free shear layer, J. Fluid Mech., Volume 172 (1986), pp. 231-258

[11] D. Liepmann; M. Gharib The role of streamwise vorticity in the near-field entrainment of round jets, J. Fluid Mech., Volume 245 (1992), pp. 643-668

[12] R.J.A. Howard; M. Pourquié Large Eddy Simulation of an Ahmed reference model, J. Turbulence, Volume 3 (2002) no. 012 (Institute of Physics Pub Ltd)

[13] A. Sohankar; C. Norberg; L. Davidson Simulation of three-dimensional flow around a square cylinder at moderate Reynolds numbers, Phys. Fluids, Volume 11 (1999), pp. 288-306

[14] A.K. Saha; G. Biswas; K. Muralidar Three-dimensional study of flow past a square cylinder at low Reynolds numbers, Int. J. Heat Fluid Flow, Volume 24 (2003), pp. 54-66

[15] A. Sohankar; L. Davidson; C. Norberg Large eddy simulation on flow past a square cylinder: comparison of different subgridscale models, J. Fluid Eng., Volume 122 (2000), pp. 39-47

[16] W. Rodi; J.H. Ferziger; M. Breuer; M. Pourquié Status of large eddy simulation: results of a workshop, ASME J. Fluid Engrg. 119 (2), Volume 119 (1997), pp. 248-262

[17] C.H.K. Williamson Vortex dynamics in the cylinder wake, Annu. Rev. Fluid. Mech., Volume 28 (1996), p. 477

[18] M. Lesieur; O. Métais New trends in large-eddy simulations of turbulence, Annu. Rev. Fluid. Mech., Volume 28 (1996), pp. 45-82

[19] O. Métais; M. Lesieur Spectral large-eddy simulation of isotropic and stably stratified turbulence, J. Fluid Mech., Volume 239 (1992), pp. 157-194

[20] F. Ducros; P. Comte; M. Lesieur Large-eddy simulation of transition to turbulence in a boundary layer developing spatially over a flat plate, J. Fluid Mech., Volume 326 (1996), pp. 1-36

[21] J.L. Aider; A. Danet Large-eddy simulation study of upstream boundary conditions influence upon a backward-facing step flow, C. R. Mecanique, Volume 334 (2006), pp. 447-453

[22] S. Laizet; E. Lamballais Simulation numérique directe de l'influence de la forme aval d'une plaque séparatrice sur une couche de mélange, C. R. Mecanique, Volume 334 (2006), pp. 454-460

[23] I. Orlansky A simple boundary condition for unbounded hyperbolic flows, J. Comp. Phys., Volume 21 (1976), p. 251

[24] Y. Dubief; F. Delcayre On coherent vortex identification in turbulence, J. Turbulence, Volume 1 (2000) no. 011, p. 11

[25] H. Djeridi; M. Braza; R. Perrin; G. Harran; E. Cid; S. Cazin Near-wake turbulence properties around a circular cylinder at high Reynolds number, Flow, Turbulence and Combustion, Volume 71 (2003), pp. 19-34

[26] T. Goossens, Etude expérimentale et numérique du sillage turbulent et des forces instationnaires sur un obstacle bi-dimensionnel non profilé, PhD Thesis, Université d'Orléans, 2005

[27] M. Lesieur Turbulence in Fluids, Kluwer Academic Publishers, 1997

[28] M. Lesieur; O. Métais; P. Comte Large-Eddy Simulations of Turbulence, Cambridge University Press, 2005

[29] M. Braza; P. Chassaing; H. Ha Minh Numerical study and physical analysis of the pressure and velocity fields in the near wake of a circular cylinder, J. Fluid Mech., Volume 165 (1986), p. 79

[30] A. Kourta; H.C. Boisson; P. Chassaing; H. Ha Minh Non-linear interaction and the transition to turbulence in the wake of a circular cylinder, J. Fluid Mech., Volume 181 (1987), p. 141

[31] A. Prasad; C.H.K. Williamson The instability of the shear layer separating from a bluff body, J. Fluid Mech., Volume 333 (1997), p. 375

Cité par Sources :

Commentaires - Politique