DOI QR코드

DOI QR Code

Rossby Waves and Beta Gyre Associated with Tropical Cyclone-scale Barotropic Vortex on the Sphere

  • Nam, Ye-Jin (Department of Environmental Atmospheric Sciences, Pukyong National University) ;
  • Cheong, Hyeong-Bin (Department of Environmental Atmospheric Sciences, Pukyong National University)
  • Received : 2020.07.01
  • Accepted : 2020.08.18
  • Published : 2020.08.31

Abstract

Tropical cyclone scale vortices and associated Rossby waves were investigated numerically using high-resolution barotropic models on the global domain. The equations of the barotropic model were discretized using the spectral transform method with the spherical harmonics function as orthogonal basis. The initial condition of the vortex was specified as an axisymmetric flow in the gradient wind balance, and four types of basic zonal states were employed. Vortex tracks showed similar patterns as those on the beta-plane but exhibited more eastward displacement as they moved northward. The zonal-mean flow appeared to control not only the west-east translation but also the meridional translation of the vortex. Such a meridional influence was revealed to be associated with the beta gyre and the Rossby wave, which are formed around the vortex due to the beta effect. In the case of the basic zonal state of climatological mean, the meridional translation speed reached the maximum value when the vortex underwent recurving.

Keywords

References

  1. Bourke, W., 1972, An efficient, one-level, primitiveequation spectral model. Monthly Weather Review, 100, 683-689. https://doi.org/10.1175/1520-0493(1972)100<0683:AEOPSM>2.3.CO;2
  2. Carr, L.E., III and Elsberry, R.L., 1990, Observational evidence for predictions of tropical cyclone propagation relative to environmental steering. Journal of the Atmospheric Sciences, 47, 542-546. https://doi.org/10.1175/1520-0469(1990)047<0542:OEFPOT>2.0.CO;2
  3. Chan, J.C.L. and Williams, R.T., 1987, Analytical and numerical studies of the beta-effect in tropical cyclone motion. Part I: Zero mean flow. Journal of the Atmospheric Sciences, 44, 1257-1265. https://doi.org/10.1175/1520-0469(1987)044<1257:AANSOT>2.0.CO;2
  4. Cheong, H.-B. and Park, J.-R., 2007, Geopotential field in nonlinear balance with the sectoral mode of Rossby-Haurwitz wave on the inclined rotation axis. Journal of the Korean Earth Science Society, 28, 936-946. https://doi.org/10.5467/JKESS.2007.28.7.936
  5. Cheong, H.-B., Kong, H.-J., Kang, H.-G., and Lee, J.-D., 2015, Fourier finite-element method with linear basis functions on a sphere: Application to elliptic and transport equations. Monthly Weather Review, 143, 1275-1294. https://doi.org/10.1175/MWR-D-14-00093.1
  6. Elsberry, R.L., 1990, International experiments to study tropical cyclones in the western North pacific. Bulletin of the American Meteorological Society, 71, 1305-1316. https://doi.org/10.1175/1520-0477(1990)071<1305:IETSTC>2.0.CO;2
  7. Emanuel, K., 2018, 100 years of progress in tropical cyclone research. Meteorological Monographs, 59, 15.1-15.68. https://doi.org/10.1175/AMSMONOGRAPHS-D-18-0016.1
  8. Fang, J. and Zhang, F., 2012, Effect of beta shear on simulated tropical cyclones. Monthly Weather Review, 140, 3327-3346. https://doi.org/10.1175/MWR-D-10-05021.1
  9. Fiorino, M. and Elsberry, R.L., 1989, Some aspects of vortex structure related to tropical cyclone motion. Journal of the Atmospheric Sciences, 46, 975-990. https://doi.org/10.1175/1520-0469(1989)046<0975:SAOVSR>2.0.CO;2
  10. Gonzalez, I., III, Cotto, A., and Willoughby, H.E., 2015, Synthesis of vortex rossby waves. Part II: Vortex motion and waves in the outer waveguide. Journal of the Atmospheric Sciences, 72, 3958-3974. https://doi.org/10.1175/JAS-D-15-0005.1
  11. Haltiner, G.J. and Williams, R.T., 1980, Numerical prediction and dynamic meteorology. Wiley, New Jersey, USA, 477 p.
  12. Haurwitz, B., 1940, The motion of atmospheric disturbances on the spherical earth. Journal of Marine Research, 3, 254-267.
  13. Holland, G.J., 1983, Tropical cyclone motion: Environmental interaction plus a beta effect. Journal of the Atmospheric Sciences, 40, 328-342. https://doi.org/10.1175/1520-0469(1983)040<0328:TCMEIP>2.0.CO;2
  14. Holland, G.J., Leslie, L.M., and Diehl, B.C., 1992, Comments on "The detection of flow asymmetries in the tropical cyclone environment". Monthly Weather Review, 120, 2394-2397. https://doi.org/10.1175/1520-0493(1992)120<2394:CODOFA>2.0.CO;2
  15. Hoskins, B.J., Simmons, A.J., and Andrews, D.G., 1977, Energy dispersion in a barotropic atmosphere. Quarterly Journal of the Royal Meteorological Society, 103, 553-567. https://doi.org/10.1002/qj.49710343802
  16. Knapp, K.R., Kruk, M.C., Levinson, D.H., Diamond, H.J., and Neumann, C.J., 2010, The International Best Track Archive for Climate Stewardship (IBTrACS): Unifying tropical cyclone data. Bulletin of the American Meteorological Society, 91, 363-376. https://doi.org/10.1175/2009BAMS2755.1
  17. Kwon, I.-H. and Cheong, H.-B., 2010, Tropical cyclone initialization with a spherical high-order filter and an idealized three-dimensional bogus vortex. Monthly Weather Review, 138, 1344-1367. https://doi.org/10.1175/2009MWR2943.1
  18. Li, X. and Wang, B., 1994, Barotropic dynamics of the beta gyres and beta drift. Journal of the Atmospheric Sciences, 51, 746-756. https://doi.org/10.1175/1520-0469(1994)051<0746:BDOTBG>2.0.CO;2
  19. Longuet-Higgins, H.C., 1964, Planetary waves on a rotating sphere. Proceedings of the Royal Society A, 279, 446-473.
  20. Montgomery, M.T., Mller, J.D., and Nicklas, C.T., 1999, Linear and nonlinear vortex motion in an asymmetric balance shallow water model. Journal of the Atmospheric Sciences, 56, 749-768. https://doi.org/10.1175/1520-0469(1999)056<0749:LANVMI>2.0.CO;2
  21. Reeder, M.J., Smith, R.K., and Lord, S.J., 1991, The detection of flow asymmetries in the tropical cyclone environment. Monthly Weather Review, 119, 848-854. https://doi.org/10.1175/1520-0493(1991)119<0848:TDOFAI>2.0.CO;2
  22. Shapiro, L.J. and Ooyama, K.V., 1990, Barotropic vortex evolution on a beta plane. Journal of the Atmospheric Sciences, 47, 170-187. https://doi.org/10.1175/1520-0469(1990)047<0170:BVEOAB>2.0.CO;2
  23. Smith, R.K. and Ulrich, W., 1990, An analytical theory of tropical cyclone motion using a barotropic model. Journal of the Atmospheric Sciences, 47, 1973-1986. https://doi.org/10.1175/1520-0469(1990)047<1973:AATOTC>2.0.CO;2
  24. Sutyrin, G.G. and Flierl, G.R., 1994, Intense vortex motion on the beta plane: Development of the beta gyres. Journal of the Atmospheric Sciences, 51, 773-790. https://doi.org/10.1175/1520-0469(1994)051<0773:IVMOTB>2.0.CO;2
  25. Thuburn, J. and Li, Y., 2000, Numerical simulations of Rossby-Haurwitz waves. Tellus A: Dynamic Meteorology and Oceanography, 52, 181-189. https://doi.org/10.3402/tellusa.v52i2.12258
  26. Wang, B. and Li, X., 1992, The beta drift of threedimensional vortices: A numerical study. Monthly Weather Review, 120, 579-593. https://doi.org/10.1175/1520-0493(1992)120<0579:TBDOTD>2.0.CO;2
  27. Wang, B. and Li, X., 1995: Propagation of a tropical cyclone in a meridionally varying zonal flow: An energetics analysis. Journal of the Atmospheric Sciences, 52, 1421-1433. https://doi.org/10.1175/1520-0469(1995)052<1421:POATCI>2.0.CO;2
  28. Williamson, D.L., Drake, J.B., Hack, J.J., Jakob, R., and Swarztrauber, P.N., 1992, A standard test set for numerical approximations to the shallow water equations in spherical geometry. Journal of Computational Physics, 102, 211-224. https://doi.org/10.1016/S0021-9991(05)80016-6
  29. Willoughby, H.E. and Jones, R.W., 2001, Nonlinear motion of a barotropic vortex in still air and in an environmental zonal flow. Journal of the Atmospheric Sciences, 58, 1907-1923. https://doi.org/10.1175/1520-0469(2001)058<1907:NMOABV>2.0.CO;2
  30. Wu, L. and Wang, B., 2000, A potential vorticity tendency diagnostic approach for tropical cyclone motion. Monthly Weather Review, 128, 1899-1911. https://doi.org/10.1175/1520-0493(2000)128<1899:APVTDA>2.0.CO;2
  31. Yasunaga, K., Miyajima, T., and Yamaguchi, M., 2016, Relationships between tropical cyclone motion and surrounding flow with reference to longest radius and maximum sustained wind. Scientific Online Letters on the Atmosphere, 12, 277-281.
  32. Zhao, H., Wu, L., and Zhou, W. 2009, Observational relationship of climatologic beta drift with large-scale environmental flows. Geophysical Research Letters, 36, L18809, doi:10.1029/2009GL040126.