Abstract
Direct numerical simulations are performed to approach the experiment of Hopfinger, Browand & Gagne (Hopfinger et al., 1982) in which turbulence is generated by an oscillating grid in a rotating tank. Effects of both rotation and confinement are analyzed, for various Rossby and Reynolds numbers. When the rotation is strong enough, we observe concentrated vortices having axes approximately parallel to the rotation axis. The Fourier- Fourier-Chebyshev pseudo-spectral code allows to take into account confinement between two parallel walls and the experimental oscillating grid is modeled by a forcing in an horizontal plane close to the lower wall. Both walls and the forcing plane are perpendicular to the vertical rotation axis.
A straightforward post processing of the numerical results for isolating coherent vortices would require the evaluation of vorticity which appear to be inappropriate because of its noisy and strongly inhomogeneous characters. Here, we propose an identification method based on the normalized angular momentum. Applied to the DNS velocity fields, it is a useful tool allowing the localization of both cyclonic and anticyclonic vortices with a very good accuracy.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Bouvard, M. & Dumas, H. 1967. Application de la méthode du fil chaud à la mesure de la turbulence dans l’eau. Houille Blanche, 22:723–733.
Briggs, D.A., Ferziger, J.H., Koseff, J.R., & Monismith, S.G. 1996. Entrainment in a shear-free turbulent mixing layer. J. Fluid Mech., 310:215–242.
Cambon, C., Jacquin, L., & Lubrano, J.L. 1992. Towards a new reynolds stress model for rotating turbulent flows. Phys. Fluids, 4:812–824.
Cambon, C., Mansour, N. N., amp; Godeferd, F. S. 1997. Energy transfer in rotating turbulence. J. Fluid Mech., 337:303–332.
Canuto, C., Hussaini, M.Y., Quarteroni, A., & Zang, T.A. 1988. Spectral Methods in Fluid Dynamics. Springer-Verlag.
Hopfinger, E.J. & Toly, J.-A. 1976. Spatially decaying turbulence and its relation to mixing across density interfaces. J. Fluid Mech., 78:155–175.
Hopfinger, E. J., Browand, F. K., & Gagne, Y. 1982. Turbulence and waves in a rotating tank. J. Fluid Mech., 125:505–534.
Hopfinger, E. J. & van Heijst, G. J. F. 1993. Vortices in rotating fluids. Ann. Rev. Fluid Mech., 25:241.
Jacquin, L., Leuchter, O., & Mathieu, C. Cambon J. 1990. Homogeneous turbulence in the presence of rotation. J. Fluid Mech., 220:1–52.
Kloosterziel, R. C. 1990. Barotropic vortices in a rotating fluid. PhD thesis, University of Utrecht, The Netherlands.
Kristoffersen, R. & Andersson, H.I. 1993. Direct simulations of low-reynolds-number turbulent flow in a rotating channel. J. Fluid Mech., 256:163–197.
Leblanc, S. & Cambon, C. 1997. On the three-dimensional instabilities of plane flows subjected to coriolis force. To appear in Phys. Fluids.
Long, R.R. 1978. Theory of turbulence in a inhomogeneous fluid induced by an oscillating grid. Phys. Fluids, 21(10):1887–1888.
McDougall, T.J. 1979. Measurements of turbulence in a zero-mean-shear mixed layer. J. Fluid Mech., 94:409–431.
Michard, M., Graftieaux, L., Lollini, L., & Grosjean, N. 1997. Identification of vortical structures by a non-local criterion: Applications to p.i.v. measurements ans d.n.s results of turbulent rotating flows. To appear in proceedings of the Eleventh Symposium on Turbulent Shear Flows, Grenoble.
Michard, M., Simoens, S., Grosjean, N., & Safsaf, D. 1996. Caractérisation du mouvement de précession d’un tourbillon à l’aide de la vélocimétrie par images de particules. 5ème Congrès Francophone de Vélocimétrie Laser, Rouen.
Pascal, H. 1996. Etude numérique d’une turbulence compressée et/ou cisaillée entre deux plans parallèles par simulation des grandes échelles (LES): évaluation de modèles statistiques de turbulence. Ecole Centrale de Lyon. Rapport de thèse.
Pascal, H. & Buffat, M. 1996. L.e.s. of turbulent flows conpressed and/or sheared between two walls on parallel computer using a “divergence-free spectral galerkin method. Computational Fluid Dynamics, Wiley & Sons Ltd:884–891.
Pasquarelli, F., Quarteroni, A., & Sacchi-Landriani, G. 1987. Spectral approximations of the stokes problem by divergence-free functions. Journal of Scientific Computing, 2:195–226.
Pedley, T.J. 1969. On the stability of viscous flow in a rapidly rotating pipe. J. Fluid Mech., 128:97–115.
Proudman, J. 1916. On the motion of solids in a liquid possessing vorticity. Proc. R. Soc. London, A 92:408.
Risso, F. 1994. Déformation et rupture d’une bulle dans une turbulence diffusive. Thèse, I.N.P. Toulouse, Institut de mécanique des fluides de Toulouse.
Thompson, S.M. & Turner, J.S. 1975. Mixing across an interface due to turbulence generated by an oscillating grid. J. Fluid Mech., 67:349–368.
Tillmark, N. & Alfredsson, P.H. 1996. Experiments on rotating plane couette flow. Advances in Turbulence VI, Kluwer.
Yang, G. 1992. DNS of boundary forced turbulent flow in a non-rotating and a rotating system. Cornell University. Ph. D. Thesis dissertation.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1999 Springer Science+Business Media Dordrecht
About this paper
Cite this paper
Lollini, L., Cambon, C., Michard, M., Graftieaux, L. (1999). Simulation and Identification of Organized Vortices in Rotating Turbulent Flows. In: Sørensen, J.N., Hopfinger, E.J., Aubry, N. (eds) IUTAM Symposium on Simulation and Identification of Organized Structures in Flows. Fluid Mechanics and Its Applications, vol 52. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4601-2_8
Download citation
DOI: https://doi.org/10.1007/978-94-011-4601-2_8
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-5944-2
Online ISBN: 978-94-011-4601-2
eBook Packages: Springer Book Archive