Abstract
We report on numerical simulations of internal wave and vortical mode interactions in stably-stratified fluids. Two problems were considered: a wave/vortical mode resonance, and the Taylor-Green problem. In both cases the results of the simulations supported the perturbation theory of Lelong and Riley (1989) for Froude numbers of order one of less. Furthermore, in each case computed in this range of Froude number, the vortical mode exhibited strong instabilities, transferring energy to larger horizontal scales.
Keywords
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.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Drazin, P. G., and Reid, W. H. 1981. Hydrodynamic Stability. Cambridge University Press.
Gage, K. S. 1979. “Evidence for a Law Inertial Range in Mesoscale Two-Dimensional Turbulence”, J. Atmos. Sci., 36, 1950–1954.
Herring, J. R., and Métais, O. 1989. “Numerical Experiments in Forced Stably-Stratified Turbulence”, J. Fluid Mech., 202, 97–115.
Hopfinger, E. J. 1987. “Turbulence in Stratified Fluids: A Review”, J. Geophys. Res., 92 (C5), 5287–5304.
Lelong, M.-P. G. 1989. Weakly-Nonlinear Internal Wave/Vortical Mode Interactions in Stably-Stratified Flows, Ph. D. Thesis, University of Washington.
Lelong, M.-P. G., and Riley, J. J. 1989. “Internal Wave/Vortical Mode Interactions in a Stably-Stratified Flow”, in preparation.
Lilly, D. K. 1983. “Stratified Turbulence and the Mesoscale Variability of the Atmosphere”, J. ‘limos. Sci., 40, 749–761.
Lin, J.-T., and Pao, Y.-H. 1979. “Wakes in Stratified Fluids”, Ann. Rev. Fluid Mech., 11, 317–338.
Liu, H.-T. 1980. Private communication.
McWilliams, J. C. 1985. “Submesoscale Coherent Vortices in the Ocean”, Rev. Geophys., 23, 165–182.
Métais, O., and Herring, J. R. 1989. “Numerical Simulations of Freely Evolving Turbulence in Stably-Stratified Fluids”, J. Fluid Mech., 202, 117–148.
Müller, P. 1988. “Vortical Motions”, in Small-Scale Turbulence and Mixing in the Ocean, ed. by J. C. J. Nihoul and B. M. Jamart, Elsevier, 285–302.
Müller, P., Lien, R.-C., and Williams, R. 1988. “Estimates of Potential Vorticity at Small Scales in the Ocean”, J. Phys. Ocean., 18(3), 401416.
Orszag, S. A. 1971. “Numerical Simulation of Incompressible Flows Within Simple Boundaries: Accuracy”, J. Fluid Mech., 49 (1), 75–112.
Phillips, O. M. 1968. “The Interaction Trapping of Internal Gravity Waves”, J. Fluid Mech., 34, 407–416.
Riley, J. J., Metcalfe, R. W., and Weissman, M. A. 1981. “Direct Numerical Simulations of Homogeneous Turbulence in Stably-Stratified Fluids”, in Proc. AIP Conf. on Nonlinear Properties of Internal Waves, ed. by B. J. West, 79–112.
Staquet, C. 1985. Étude Numérique de la Turbulence Bidimensionnelle Homogène et Cisaillée. Thèse Docteur de l’Institut National Polytechnique de Grenoble.
Taylor, G. I., and Green, A. E. 1937. “Mechanisms of the Production of Small Eddies From Large Ones”, Proc. Roy. Soc., A 158, 499–521.
van Heijst, G. J. F., and Flór, J. B. 1989. “Dipole Formation and Collisions in a Stratified Fluid”, Nature, 340 (6230), 212–215.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1991 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Riley, J.J., Lelong, MP.G., Slinn, D.N. (1991). Organized Structures in Strongly Stratified Flows. In: Metais, O., Lesieur, M. (eds) Turbulence and Coherent Structures. Fluid Mechanics and Its Applications, vol 2. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-7904-9_25
Download citation
DOI: https://doi.org/10.1007/978-94-015-7904-9_25
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-4063-3
Online ISBN: 978-94-015-7904-9
eBook Packages: Springer Book Archive