Loop Current Mixed Layer Energy Response to Hurricane Lili (2002). Part II: Idealized Numerical Simulations

Eric W. Uhlhorn NOAA/AOML/Hurricane Research Division, Miami, Florida

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Lynn K. Shay RSMAS/MPO, University of Miami, Miami, Florida

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Abstract

In this second part of a two-part study, details of the upper-ocean response within an idealized baroclinic current to a translating tropical cyclone are examined in a series of nonlinear, reduced-gravity numerical simulations. Based on observations obtained as part of a joint NOAA–National Science Foundation (NSF) experiment in Hurricane Lili (2002), the preexisting ocean mass and momentum fields are initialized with a Gulf of Mexico Loop Current–like jet, which is subsequently forced by a vortex whose wind stress field approximates that observed in the Lili experiments. Because of 1) favorable coupling between the wind stress and preexisting current vectors, and 2) wind-driven currents flowing across the large horizontal pressure gradient, wind energy transfer to the mixed layer can be more efficient in such a regime as compared to the case of an initially horizontally homogeneous ocean. However, nearly all energy is removed by advection and wave flux by two local inertial periods after storm passage, consistent with the observational results. Experiments are performed to quantify differences in one-dimensional and three-dimensional linearized approximations to the full model equations. In addition, sensitivity experiments to variations in the initial geostrophic current structure are performed to develop a parameter space over which a significant energy response could optimally be observed.

Corresponding author address: Eric W. Uhlhorn, NOAA/AOML/Hurricane Research Division, 4301 Rickenbacker Cswy., Miami, FL 33149. E-mail: eric.uhlhorn@noaa.gov

Abstract

In this second part of a two-part study, details of the upper-ocean response within an idealized baroclinic current to a translating tropical cyclone are examined in a series of nonlinear, reduced-gravity numerical simulations. Based on observations obtained as part of a joint NOAA–National Science Foundation (NSF) experiment in Hurricane Lili (2002), the preexisting ocean mass and momentum fields are initialized with a Gulf of Mexico Loop Current–like jet, which is subsequently forced by a vortex whose wind stress field approximates that observed in the Lili experiments. Because of 1) favorable coupling between the wind stress and preexisting current vectors, and 2) wind-driven currents flowing across the large horizontal pressure gradient, wind energy transfer to the mixed layer can be more efficient in such a regime as compared to the case of an initially horizontally homogeneous ocean. However, nearly all energy is removed by advection and wave flux by two local inertial periods after storm passage, consistent with the observational results. Experiments are performed to quantify differences in one-dimensional and three-dimensional linearized approximations to the full model equations. In addition, sensitivity experiments to variations in the initial geostrophic current structure are performed to develop a parameter space over which a significant energy response could optimally be observed.

Corresponding author address: Eric W. Uhlhorn, NOAA/AOML/Hurricane Research Division, 4301 Rickenbacker Cswy., Miami, FL 33149. E-mail: eric.uhlhorn@noaa.gov
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  • Bender, M. A., and I. Ginis, 2000: Real-case simulations of hurricane–ocean interaction using a high-resolution coupled model: Effects on hurricane intensity. Mon. Wea. Rev., 128, 917946.

    • Search Google Scholar
    • Export Citation
  • Black, P. G., 1983: Ocean temperature change induced by tropical cyclones. Ph.D. thesis, The Pennsylvania State University, 278 pp.

  • Black, P. G., R. L. Elsberry, L. K. Shay, R. P. Partridge, and J. F. Hawkins, 1988: Atmospheric and oceanic mixed layer observations in Hurricane Josephine obtained from air-deployed drifting buoys and research aircraft. J. Atmos. Oceanic Technol., 5, 683698.

    • Search Google Scholar
    • Export Citation
  • Buckingham, E., 1914: On physically similar systems: Illustrations of the use of dimensional equations. Phys. Rev., 4, 345376.

  • Chan, J. C. L., Y. Duan, and L. K. Shay, 2001: Tropical cyclone intensity change from a simple ocean–atmosphere coupled model. J. Atmos. Sci., 58, 154172.

    • Search Google Scholar
    • Export Citation
  • Chang, S. W., and R. A. Anthes, 1978: Numerical simulations of the ocean’s nonlinear baroclinic response to translating hurricanes. J. Phys. Oceanogr., 8, 468480.

    • Search Google Scholar
    • Export Citation
  • Cho, H. R., and T. L. Clark, 1981: A numerical investigation of the structure of vorticity fields associated with a deep convective cloud. J. Atmos. Sci., 109, 16541670.

    • Search Google Scholar
    • Export Citation
  • D’Asaro, E. A., T. S. Sanford, P. P. Niiler, and E. J. Terrill, 2007: Cold wake of Hurricane Francis. Geophys. Res. Lett., 34, L15609, doi:10.1029/2007GL030160.

    • Search Google Scholar
    • Export Citation
  • Dobricic, S., 2006: An improved calculation of Coriolis terms on the C grid. Mon. Wea. Rev., 134, 37643773.

  • Donelan, M. A., B. K. Haus, N. Reul, M. Stiassne, H. C. Graber, O. B. Brown, and E. S. Saltzman, 2004: On the limiting aerodynamic roughness of the ocean in very strong winds. Geophys. Res. Lett., 31, L18306, doi:10.1029/2004GL019460.

    • Search Google Scholar
    • Export Citation
  • Elsberry, R., T. Fraim, and R. J. Trapnell, 1976: A mixed layer model of the oceanic thermal response to hurricanes. J. Geophys. Res., 81, 11531162.

    • Search Google Scholar
    • Export Citation
  • Emanuel, K., C. DesAutels, C. Holloway, and R. Korty, 2004: Environmental control of tropical cyclone intensity. J. Atmos. Sci., 61, 843858.

    • Search Google Scholar
    • Export Citation
  • Frederick, W. J., 2003: The rapid intensification and subsequent rapid weakening of Hurricane Lili as compared with historical hurricanes. Wea. Forecasting, 18, 12951298.

    • Search Google Scholar
    • Export Citation
  • French, J. R., W. M. Drennan, J. Zhang, and P. G. Black, 2007: Turbulent fluxes in the hurricane boundary layer. Part I: Momentum flux. J. Atmos. Sci., 64, 10891102.

    • Search Google Scholar
    • Export Citation
  • Geisler, J. E., 1970: Linear theory on the response of a two-layer ocean to a moving tropical cyclone. Geophys. Fluid Dyn., 1, 249272.

    • Search Google Scholar
    • Export Citation
  • Gill, A. E., 1984: On the behavior of internal waves in the wakes of storms. J. Phys. Oceanogr., 14, 11291151.

  • Halliwell, G. R., L. K. Shay, J. K. Brewster, and W. J. Teague, 2011: Evaluation and sensitivity analysis of an ocean model response to Hurricane Ivan. Mon. Wea. Rev., 139, 921945.

    • Search Google Scholar
    • Export Citation
  • Holland, G. J., 1980: An analytic model of the wind and pressure profiles in hurricanes. Mon. Wea. Rev., 108, 12121218.

  • Jacob, S. D., and L. K. Shay, 2003: The role of ocean mesoscale features on the tropical cyclone-induced mixed layer response: A case study. J. Phys. Oceanogr., 33, 649676.

    • Search Google Scholar
    • Export Citation
  • Jacob, S. D., and C. Koblinsky, 2007: Effects of precipitation on the upper-ocean response to a hurricane. Mon. Wea. Rev., 135, 22072225.

    • Search Google Scholar
    • Export Citation
  • Jacob, S. D., L. K. Shay, A. J. Mariano, and P. G. Black, 2000: The 3D oceanic mixed layer response to Hurricane Gilbert. J. Phys. Oceanogr., 30, 14071429.

    • Search Google Scholar
    • Export Citation
  • Jaimes, B., and L. K. Shay, 2010: Near-intertial wave wake of Hurricanes Katrina and Rita over mesoscale oceanic eddies. J. Phys. Oceanogr., 40, 13201337.

    • Search Google Scholar
    • Export Citation
  • Kunze, E., 1985: Near-inertial wave propagation in geostrophic shear. J. Phys. Oceanogr., 15, 544565.

  • Large, W. G., and S. Pond, 1981: Open ocean momentum flux measurements in moderate to strong winds. J. Phys. Oceanogr., 11, 324336.

  • Lighthill, J., 1978: Waves in Fluids. Cambridge University Press, 504 pp.

  • Lin, I.-I., C.-C. Wu, K. Emanuel, I.-H. Lee, C.-R. Wu, and I.-F. Pun, 2005: The interaction of Supertyphoon Maemi (2003) with a warm ocean eddy. Mon. Wea. Rev., 133, 26352649.

    • Search Google Scholar
    • Export Citation
  • Messinger, F., and A. Arakawa, 1976: Numerical methods used in atmospheric models. WMO Tech. Rep. GARP 17, 64 pp.

  • O’Brien, J. J., and R. O. Reid, 1967: The non-linear response of a two-layer, baroclinic ocean to a stationary, axially-symmetric hurricane: Part I: Upwelling induced by momentum transfer. J. Phys. Oceanogr., 24, 197207.

    • Search Google Scholar
    • Export Citation
  • Pasch, R. J., M. B. Lawrence, L. Avila, J. L. Bevin, J. L. Franklin, and S. R. Stewart, 2004: Atlantic hurricane season of 2002. Mon. Wea. Rev., 132, 18291859.

    • Search Google Scholar
    • Export Citation
  • Pollard, R. T., P. B. Rhines, and R. O. R. Y. Thompson, 1973: The deepening of the wind driven layer. Geophys. Fluid Dyn., 4, 381404.

    • Search Google Scholar
    • Export Citation
  • Powell, M., P. J. Vickery, and T. A. Reinhold, 2003: Reduced drag coefficient for high wind speeds in tropical cyclones. Nature, 422, 279283.

    • Search Google Scholar
    • Export Citation
  • Price, J. F., 1981: Upper ocean response to a hurricane. J. Phys. Oceanogr., 11, 153175.

  • Price, J. F., 1983: Internal wave wake of a moving storm. Part I: Scales, energy budget, and observations. J. Phys. Oceanogr., 13, 949965.

    • Search Google Scholar
    • Export Citation
  • Price, J. F., T. B. Sanford, and G. Z. Forristall, 1994: Forced stage response to a moving hurricane. J. Phys. Oceanogr., 24, 233260.

    • Search Google Scholar
    • Export Citation
  • Pudov, V. D., and G. J. Holland, 1994: Typhoons and ocean: Results of experimental investigations. BMRC Tech. Rep. 45, 50 pp.

  • Rappaport, E. N., J. L. Franklin, A. B. Schumacher, M. DeMaria, L. K. Shay, and E. J. Gibney, 2010: Tropical cyclone intensity change before U.S. Gulf Coast landfall. Wea. Forecasting, 25, 13801396.

    • Search Google Scholar
    • Export Citation
  • Sanford, T. B., J. F. Price, J. B. Girton, and D. C. Webb, 2007: Highly resolved observations and simulations of the ocean response to a hurricane. Geophys. Res. Lett., 34, L13604, doi:10.1029/2007GL029679.

    • Search Google Scholar
    • Export Citation
  • Schade, L., and K. Emanuel, 1999: The ocean’s effect on the intensity of tropical cyclones: Results from a simple ocean-atmosphere model. J. Atmos. Sci., 56, 642651.

    • Search Google Scholar
    • Export Citation
  • Shay, L. K., and S. D. Jacob, 2006: Relationship between oceanic energy fluxes and surface winds during tropical cyclone passage. Advances in Fluid Mechanics, Vol. 2, W. Perrie, Ed., WIT Press, 115–142.

  • Shay, L. K., and E. W. Uhlhorn, 2008: Loop Current response to Hurricanes Isidore and Lili. Mon. Wea. Rev., 136, 32483274.

  • Shay, L. K., R. L. Elsberry, and P. G. Black, 1989: Vertical structure of the ocean current response to a hurricane. J. Phys. Oceanogr., 19, 649669.

    • Search Google Scholar
    • Export Citation
  • Shay, L. K., S. W. Chang, and R. L. Elsberry, 1990: Free surface effects on the near-inertial ocean current response to a hurricane. J. Phys. Oceanogr., 20, 14051424.

    • Search Google Scholar
    • Export Citation
  • Uhlhorn, E. W., and L. K. Shay, 2012: Loop current mixed layer energy response to Hurricane Lili (2002). Part I: Observations. J. Phys. Oceanogr., 32, 400419.

    • Search Google Scholar
    • Export Citation
  • Uhlhorn, E. W., P. G. Black, J. L. Franklin, M. Goodberlet, J. Carswell, and A. S. Goldstein, 2007: Hurricane surface wind measurements from an operational stepped frequency microwave radiometer. Mon. Wea. Rev., 135, 30703085.

    • Search Google Scholar
    • Export Citation
  • Williams, P. D., 2009: A proposed modification to the Robert–Asselin time filter. Mon. Wea. Rev., 137, 25382546.

  • Willoughby, H. E., R. W. R. Darling, and M. E. Rahn, 2006: Parametric representation of the primary hurricane vortex. Part II: A new family of sectionally continuous profiles. Mon. Wea. Rev., 134, 11021120.

    • Search Google Scholar
    • Export Citation
  • Winterbottom, H. R., E. W. Uhlhorn, and E. P. Chassignet, 2012: A design and an application of a regional coupled atmosphere-ocean model for tropical cyclone prediction. J. Adv. Model. Earth Syst., 4, M10002, doi:10.1029/2012MS000172.

    • Search Google Scholar
    • Export Citation
  • Zhang, J., and E. W. Uhlhorn, 2012: Hurricane sea surface inflow angle and an observation-based parametric model. Mon. Wea. Rev., 140, 35873605.

    • Search Google Scholar
    • Export Citation
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