Abstract
A vertical mode formulation of quasi-geostrophic equations is given followed by their spectral implementation for doubly periodic domains and zonal channels. Emphasis is put on the mean flow constraints in such formulations. Recent results concerning stratified geostrophic turbulence are given, with special attention to intermittency and three-dimensional isotropization of such flows.
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
Basdevant, C., B. Legras, R. Sadourny, and M. Beland, A study of barotropic model flows: intermittency, waves and predictability, J. Atmos. Sci., 38 2305–2326, 1981.
Boville, B. A., Strongly nonlinear vacillation in baroclinic waves, J. Atmos. Sci., 39 1227–1240, 1982.
Bretherton, F. P., and D. B. Haidvogel, Two-dimensional turbulence above topography, J. Fluid Mech., 78 29–154, 1976.
Bretherton, F. P., and M. J. Karweit, Mid-ocean mesoscale modelling, in Numerical Models of Ocean Circulation pp. 237–249, Ocean Affairs Board, Nat. Res. Counc., NAS, Washington, D.C., 1975.
Charney, J., Geostrophic turbulence, J. Atmos. Sci., 28 1087–1095, 1971.
Flierl, G. R., Models of vertical structure and the calibration of two-layer models, Dyn. Atmos. Oceans, 2 341–381, 1978.
Gottlieb, D. and S. A. Orszag, Numerical Analysis of Spectral Methods: Theory and Applications 170pp., Society for industrial and applied mathematics, J. W. Arrowsmith, Bristol, 1977.
Haidvogel, D. B., Numerical models of the ocean circulation, in CNES summer school, July, 1983.
Haidvogel, D. B., and I. M. Held, Homogeneous quasi-geostrophic turbulence driven by a uniform temperature gradient, J. Atmos. Sci., 37 2644–2660, 1980.
Haidvogel, D. B., and P. B. Rhines, Waves and circulation driven by oscillatory winds in an idealized ocean basin, Geophys. Astrophys. Fluid Dyn., 25 1–63, 1983.
Hua, B. L., J. C. McWilliams, and W. B. Owens, An objective analysis of the POLYMODE Local Dynamics Experiment: 2-Streamfunction and potential vorticity fields during the intensive period, J. Phys. Oceanog. (in press), 1985.
Hua, B. L. and D. B. Haidvogel, Numerical simulations of the vertical structure of quasi-geostrophic turbulence, J. Atmos. Sciences (submitted), 1985.
Haidvogel, D. B., A. R. Robinson, and E. E. Schullman, The accuracy, efficiency and stability of three numerical models with application to the open ocean problems, J. Comp. Phys., 34 1–53, 1980.
Klein, P. and J. Pedlosky, A numerical study of baroclinic instability of large supercretiaslity, J. Atmos. Sciences (in press), 1985.
Kraichnan, R. H., Inertial ranges in two-dimensional turbulence, Phys. Fluids, 10 1417–1428, 1967.
Kraichnan, R. H., and D. Montgomery, Two-dimensional turbulence, Reports in Progress in Physics 547–619, 1980.
Leith, C. E., Atmospheric predictability and two-dimensional turbulence, J. Atmos. Sci., 28 145–161, 1971.
McWilliams, J. C., A note on a consistent quasi-geostrophic model in a multiply-connected domain, Dyn. Atm. Oceans, 1 427–441, 1977.
McWilliams, J. C., On the relevance of two-dimensional turbulence to geophysical fluid motions, J. de Mcanique thorique et applique, Numero special Turbulence bidimensionele, 83–97, 1983.
McWilliams, J. C., The emergence of isolated coherent vortices in turbulent flows, J. Fluid Mech., 42 21–43, 1984.
Orszag, S. A., Numerical simulation of incompressible flows within simple boundries: 1. Galerkin (spectral) representations, Studies in Applied Mathematics, L 4, 1971.
Owens, W. B., and F. P. Bretherton, A numerical study of mid-ocean mesoscale eddies, Deep Sea Res., 25(1) 1–14, 1978.
Pedlosky, J., Geophysical Fluid Dynamics 624pp., Springer-Verlag, New York, 1979.
Rhines, P. B., Waves and turbulence on a p-plane, J. Fluid Mech. 69, 417–443, 1975.
Rhines, P. B., The dynamics of unsteady currents, in The Sea vol. 6, edited by E. D. Goldberg, I. N. McCave, J. J. O’Brien, and J. H. Steele, Wiley and Sons, New York, 1977.
Rhines, P. B., Geostrophic turbulence, Ann. Rev. Fluid Mechanics 11, 401–441, 1979.
Salmon, R., Baroclinic instability and geostrophic turbulence, Geophys. Astrophys. Fluid DXn., 10 25–52, 1980.
Vallis, G. K., On the spectral integration of the quasi-geostrophic equations for doubly-periodic and channel flow, J. Atmos. Sci. 42 95–99, 1985.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1986 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Hua, B.L. (1986). Periodic Quasi-Geostrophic Models. In: O’Brien, J.J. (eds) Advanced Physical Oceanographic Numerical Modelling. NATO ASI Series, vol 186. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0627-8_15
Download citation
DOI: https://doi.org/10.1007/978-94-017-0627-8_15
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-8428-6
Online ISBN: 978-94-017-0627-8
eBook Packages: Springer Book Archive