The Uses and Limitations of Contour Advection as a Technique for Examining Arctic Vortex Dynamics

Michael N. Baker School of Earth and Atmospheric Sciences, Georgia Institute of Technology, Atlanta, Georgia

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Derek M. Cunnold School of Earth and Atmospheric Sciences, Georgia Institute of Technology, Atlanta, Georgia

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Abstract

A contour advection technique, contour advection with surgery (CAS), is applied to the Northern Hemisphere Arctic vortex during several dynamically active periods in midwinter and at several different levels in the stratosphere. The ability of the technique to accurately depict vortex evolution is assessed. Isentropic potential vorticity (PV) is used as the dynamic tracer, and observed winds on isentropic surfaces are used to advect the PV contours. Results of the current study show that while it may provide a continuous view of vortex evolution that is spatially and temporally consistent, quantitative information regarding vortex area change derived from CAS is of limited utility. The results are shown to be somewhat sensitive to subtle differences in the wind and PV fields for quantities (such as area) that develop slowly in time. Increasing the temporal resolution of the advecting wind field does not appear to improve the agreement between CAS results and model or observed data. The poor correspondence between the area changes from CAS and those derived from analyzed data suggests that diabatic effects during most of these events are important. Percentage differences between the CAS and the analyzed PV contours are more pronounced above the lower region of the stratosphere, and a large part of the differences are acquired in the first day of a CAS calculation. Contour length parameters such as e-folding time are relatively insensitive to uncertainties in the initial conditions, suggesting that quantities that change rapidly (as length does) are better determined by CAS; however, the filamentary structure contributes little to vortex area results.

Corresponding author address: Dr. Derek M. Cunnold, School of Earth and Atmospheric Sciences, Georgia Institute of Technology, Atlanta, GA 30332. Email: cunnold@eas.gatech.edu

Abstract

A contour advection technique, contour advection with surgery (CAS), is applied to the Northern Hemisphere Arctic vortex during several dynamically active periods in midwinter and at several different levels in the stratosphere. The ability of the technique to accurately depict vortex evolution is assessed. Isentropic potential vorticity (PV) is used as the dynamic tracer, and observed winds on isentropic surfaces are used to advect the PV contours. Results of the current study show that while it may provide a continuous view of vortex evolution that is spatially and temporally consistent, quantitative information regarding vortex area change derived from CAS is of limited utility. The results are shown to be somewhat sensitive to subtle differences in the wind and PV fields for quantities (such as area) that develop slowly in time. Increasing the temporal resolution of the advecting wind field does not appear to improve the agreement between CAS results and model or observed data. The poor correspondence between the area changes from CAS and those derived from analyzed data suggests that diabatic effects during most of these events are important. Percentage differences between the CAS and the analyzed PV contours are more pronounced above the lower region of the stratosphere, and a large part of the differences are acquired in the first day of a CAS calculation. Contour length parameters such as e-folding time are relatively insensitive to uncertainties in the initial conditions, suggesting that quantities that change rapidly (as length does) are better determined by CAS; however, the filamentary structure contributes little to vortex area results.

Corresponding author address: Dr. Derek M. Cunnold, School of Earth and Atmospheric Sciences, Georgia Institute of Technology, Atlanta, GA 30332. Email: cunnold@eas.gatech.edu

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  • Baker, M. N., 1999: An assessment of contour advection and its use in examining vortex dynamics. Ph.D. dissertation, Georgia Institute of Technology, 184 pp.

    • Search Google Scholar
    • Export Citation
  • Baldwin, M. P., and J. R. Holton, 1988: Climatology of the stratospheric polar vortex and planetary wave breaking. J. Atmos. Sci, 45 , 11231142.

    • Search Google Scholar
    • Export Citation
  • Bowman, K. P., 1993: Large-scale isentropic mixing properties of the Antarctic polar vortex from analyzed winds. J. Geophys. Res, 98 , 23 01323 027.

    • Search Google Scholar
    • Export Citation
  • Bowman, K. P., and N. J. Mangus, 1993: Observations of the deformation and mixing of the total ozone field in the Antarctic polar vortex. J. Atmos. Sci, 50 , 29152921.

    • Search Google Scholar
    • Export Citation
  • Chen, P., 1994: The permeability of the Antarctic vortex edge. J. Geophys. Res, 99 , 20 56320 571.

  • Chen, P., J. R. Holton, A. O'Neill, and R. Swinbank, 1994: Quasi-horizontal transport and mixing in the Antarctic stratosphere. J. Geophys. Res, 99 , 16 85116 866.

    • Search Google Scholar
    • Export Citation
  • Dahlberg, S. P., and K. P. Bowman, 1994: Climatology of large-scale isentropic mixing in the Arctic winter stratosphere from analyzed winds. J. Geophys. Res, 99 , 20 58520 599.

    • Search Google Scholar
    • Export Citation
  • Dritschel, D. G., 1988: Contour surgery: A topological reconnection scheme for extended integrations using contour dynamics. J. Comput. Phys, 77 , 240266.

    • Search Google Scholar
    • Export Citation
  • Dritschel, D. G., 1989: Contour dynamics and contour surgery: Numerical algorithms for extended, high-resolution modeling of vortex dynamics in two-dimensional, inviscid, incompressible flows. Comput. Phys. Rep, 10 , 77146.

    • Search Google Scholar
    • Export Citation
  • Hess, P. G., 1991: Mixing process following the final stratospheric warming. J. Atmos. Sci, 48 , 16251641.

  • Juckes, M. N., and M. E. McIntyre, 1987: A high-resolution one-layer model of breaking planetary waves in the stratosphere. Nature, 328 , 590596.

    • Search Google Scholar
    • Export Citation
  • Manney, G. L., R. Swinbank, S. T. Massie, M. E. Gelman, A. J. Miller, R. Nagatani, A. O'Neill, and R. W. Zurek, 1996: Comparison of U.K. Meteorological Office and U.S. National Meteorological Center stratospheric analyses during northern and southern winter. J. Geophys. Res, 101 , 10 31110 334.

    • Search Google Scholar
    • Export Citation
  • McIntyre, M. E., and T. N. Palmer, 1983: Breaking planetary waves in the stratosphere. Nature, 305 , 593600.

  • McIntyre, M. E., and T. N. Palmer, 1984: The “surf zone” in the stratosphere. J. Atmos. Terr. Phys, 46 , 825849.

  • Nash, E. R., P. A. Newman, J. E. Rosenfield, and M. R. Schoeberl, 1996: An objective determination of the polar vortex using Ertel's potential vorticity. J. Geophys. Res, 101 , 94719478.

    • Search Google Scholar
    • Export Citation
  • Norton, W. A., 1994: Breaking Rossby waves in a model stratosphere diagnosed by a vortex-following Coordinate system and a technique for advecting material contours. J. Atmos. Sci, 51 , 654673.

    • Search Google Scholar
    • Export Citation
  • O'Neill, A., and V. D. Pope, 1990: The seasonal evolution of the extra-tropical stratosphere in the Southern and Northern Hemispheres: Systematic changes in potential vorticity and the non-conservative effects of radiation. Dynamics, Transport, and Photochemistry in the Middle Atmosphere of the Southern Hemisphere, Kluwer Academic, 33–54.

    • Search Google Scholar
    • Export Citation
  • O'Neill, A., and V. D. Pope, 1993: The coupling between radiation and dynamics in the stratosphere. Adv. Space Res, 13 (1) 351358.

  • Orsolini, Y., P. Simon, and D. Cariolle, 1995: Filamentation and layering of an idealized tracer by observed winds in the lower stratosphere. Geophys. Res. Lett, 22 , 839842.

    • Search Google Scholar
    • Export Citation
  • Pierce, R. B., W. T. Blackshear, T. D. Fairlie, W. L. Grose, and R. E. Turner, 1993: The interaction of radiative and dynamical processes during a simulated sudden stratospheric warming. J. Atmos. Sci, 50 , 38293851.

    • Search Google Scholar
    • Export Citation
  • Plumb, R. A., and Coauthors. . 1994: Intrusions into the lower stratospheric Arctic vortex during the winter of 1991–1992. J. Geophys. Res, 99 , 10891105.

    • Search Google Scholar
    • Export Citation
  • Rektorys, K., Ed.,. 1969: Survey of Applicable Mathematics. Massachusetts Institute of Technology Press, 1369 pp.

  • Schoeberl, M. R., and P. A. Newman, 1995: A multiple-level trajectory analysis of vortex filaments. J. Geophys. Res, 100 , 25 80125 815.

    • Search Google Scholar
    • Export Citation
  • Sobel, A. H., R. A. Plumb, and D. W. Waugh, 1997: Methods of calculating transport across the polar vortex edge. J. Atmos. Sci, 54 , 22412260.

    • Search Google Scholar
    • Export Citation
  • Swinbank, R., and A. O'Neill, 1994: A stratosphere–troposphere data assimilation system. Mon. Wea. Rev, 122 , 686702.

  • Waugh, D. W., 1993: Subtropical stratospheric mixing linked to disturbances in the polar vortices. Nature, 365 , 535537.

  • Waugh, D. W., and R. A. Plumb, 1994: Contour advection with surgery: A technique for investigating finescale structure in tracer transport. J. Atmos. Sci, 51 , 530540.

    • Search Google Scholar
    • Export Citation
  • Waugh, D. W., and Coauthors. 1994a: Transport out of the lower stratospheric Arctic vortex by Rossby wave breaking. J. Geophys. Res, 99 , 10711088.

    • Search Google Scholar
    • Export Citation
  • Waugh, D. W., and Coauthors. . 1994b: Fine-scale poleward transport of tropical air during AASE 2. Geophys. Res. Lett, 21 , 26032606.

  • Welander, P., 1955: Studies on the general development of motion in a two-dimensional ideal fluid. Tellus, 7 , 141156.

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