Sensitivity of Tropical Cyclone Intensity to Ventilation in an Axisymmetric Model

Brian Tang National Center for Atmospheric Research,* Boulder, Colorado

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Kerry Emanuel Massachusetts Institute of Technology, Cambridge, Massachusetts

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Abstract

The sensitivity of tropical cyclone intensity to ventilation of cooler, drier air into the inner core is examined using an axisymmetric tropical cyclone model with parameterized ventilation. Sufficiently strong ventilation induces cooling of the upper-level warm core, a shift in the secondary circulation radially outward, and a decrease in the simulated intensity. Increasing the strength of the ventilation and placing the ventilation at middle to lower levels results in a greater decrease in the quasi-steady intensity, whereas upper-level ventilation has little effect on the intensity. For strong ventilation, an oscillatory intensity regime materializes and is tied to transient convective bursts and strong downdrafts into the boundary layer.

The sensitivity of tropical cyclone intensity to ventilation can be viewed in the context of the mechanical efficiency of the inner core or a modified thermal wind relation. In the former, ventilation decreases the mechanical efficiency, as the generation of available potential energy is wasted by entropy mixing above the boundary layer. In the latter, ventilation weakens the eyewall entropy front, resulting in a decrease in the intensity by thermal wind arguments.

The experiments also support the existence of a threshold ventilation beyond which a tropical cyclone cannot be maintained. Downdrafts overwhelm surface fluxes, leading to a precipitous drop in intensity and a severe degradation of structure in such a scenario. For a given amount of ventilation below the threshold, there exists a minimum initial intensity necessary for intensification to the quasi-steady intensity.

The National Center for Atmospheric Research is supported by the National Science Foundation.

Corresponding author address: Brian Tang, National Center for Atmospheric Research, P.O. Box 3000, Boulder, CO 80307. E-mail: btang@ucar.edu

Abstract

The sensitivity of tropical cyclone intensity to ventilation of cooler, drier air into the inner core is examined using an axisymmetric tropical cyclone model with parameterized ventilation. Sufficiently strong ventilation induces cooling of the upper-level warm core, a shift in the secondary circulation radially outward, and a decrease in the simulated intensity. Increasing the strength of the ventilation and placing the ventilation at middle to lower levels results in a greater decrease in the quasi-steady intensity, whereas upper-level ventilation has little effect on the intensity. For strong ventilation, an oscillatory intensity regime materializes and is tied to transient convective bursts and strong downdrafts into the boundary layer.

The sensitivity of tropical cyclone intensity to ventilation can be viewed in the context of the mechanical efficiency of the inner core or a modified thermal wind relation. In the former, ventilation decreases the mechanical efficiency, as the generation of available potential energy is wasted by entropy mixing above the boundary layer. In the latter, ventilation weakens the eyewall entropy front, resulting in a decrease in the intensity by thermal wind arguments.

The experiments also support the existence of a threshold ventilation beyond which a tropical cyclone cannot be maintained. Downdrafts overwhelm surface fluxes, leading to a precipitous drop in intensity and a severe degradation of structure in such a scenario. For a given amount of ventilation below the threshold, there exists a minimum initial intensity necessary for intensification to the quasi-steady intensity.

The National Center for Atmospheric Research is supported by the National Science Foundation.

Corresponding author address: Brian Tang, National Center for Atmospheric Research, P.O. Box 3000, Boulder, CO 80307. E-mail: btang@ucar.edu
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  • Arakawa, A., and V. Lamb, 1977: Computational design of the basic dynamical process of the UCLA general circulation model. Methods in Computational Physics, Vol. 17, J. Chang, Ed., Academic Press, 173–265.

  • Bister, M., and K. Emanuel, 1998: Dissipative heating and hurricane intensity. Meteor. Atmos. Phys., 65, 233240.

  • Black, P., and Coauthors, 2007: Air-sea exchange in hurricanes: Synthesis of observations from the Coupled Boundary Layer Air–Sea Transfer experiment. Bull. Amer. Meteor. Soc., 88, 357374.

    • Search Google Scholar
    • Export Citation
  • Bolton, D., 1980: The computation of equivalent potential temperature. Mon. Wea. Rev., 108, 10461053.

  • Bryan, G., 2008: On the computation of pseudoadiabatic entropy and equivalent potential temperature. Mon. Wea. Rev., 136, 52395245.

  • Bryan, G., and J. Fritsch, 2004: A reevaluation of ice–liquid water potential temperature. Mon. Wea. Rev., 132, 24212431.

  • Bryan, G., and R. Rotunno, 2009a: Evaluation of an analytical model for the maximum intensity of tropical cyclones. J. Atmos. Sci., 66, 30423060.

    • Search Google Scholar
    • Export Citation
  • Bryan, G., and R. Rotunno, 2009b: The maximum intensity of tropical cyclones in axisymmetric numerical model simulations. Mon. Wea. Rev., 137, 17701789.

    • Search Google Scholar
    • Export Citation
  • Chen, Y., G. Brunet, and M. Yau, 2003: Spiral bands in a simulated hurricane. Part II: Wave activity diagnostics. J. Atmos. Sci., 60, 12391256.

    • Search Google Scholar
    • Export Citation
  • Corbosiero, K., J. Molinari, A. Aiyyer, and M. Black, 2006: The structure and evolution of Hurricane Elena (1985). Part II: Convective asymmetries and evidence for vortex Rossby waves. Mon. Wea. Rev., 134, 30733091.

    • Search Google Scholar
    • Export Citation
  • Cram, T., J. Persing, M. Montgomery, and S. Braun, 2007: A Lagrangian trajectory view on transport and mixing processes between the eye, eyewall, and environment using a high-resolution simulation of Hurricane Bonnie (1998). J. Atmos. Sci., 64, 18351856.

    • Search Google Scholar
    • Export Citation
  • Davies-Jones, R., 2009: On formulas for equivalent potential temperature. Mon. Wea. Rev., 137, 31373148.

  • Durran, D., 1999: Numerical Methods for Wave Equations in Geophysical Fluid Dynamics. Springer, 465 pp.

  • Edson, J., and Coauthors, 2007: The Coupled Boundary Layers and Air–Sea Transfer experiment in low winds. Bull. Amer. Meteor. Soc., 88, 341356.

    • Search Google Scholar
    • Export Citation
  • Emanuel, K., 1986: An air–sea interaction theory for tropical cyclones. Part I: Steady-state maintenance. J. Atmos. Sci., 43, 585604.

    • Search Google Scholar
    • Export Citation
  • Emanuel, K., 1994: Atmospheric Convection. Oxford University Press, 580 pp.

  • Emanuel, K., 2004: Tropical cyclone energetics and structure. Atmospheric Turbulence and Mesoscale Meteorology, E. Fedorovich, R. Rotunno, and B. Stevens, Eds., Cambridge University Press, 165–192.

  • Frank, W., and E. Ritchie, 2001: Effects of vertical wind shear on the intensity and structure of numerically simulated hurricanes. Mon. Wea. Rev., 129, 22492269.

    • Search Google Scholar
    • Export Citation
  • Goody, R., 2003: On the mechanical efficiency of deep, tropical convection. J. Atmos. Sci., 60, 28272832.

  • Gunn, R., and G. Kinzer, 1949: The terminal velocity of fall for water droplets in stagnant air. J. Meteor., 6, 243248.

  • Hartmann, D., J. Holton, and Q. Fu, 2001: The heat balance of the tropical tropopause, cirrus, and stratospheric dehydration. Geophys. Res. Lett., 28, 19691972.

    • Search Google Scholar
    • Export Citation
  • Hendricks, E., and W. Schubert, 2009: Transport and mixing in idealized barotropic hurricane-like vortices. Quart. J. Roy. Meteor. Soc., 135, 14561470.

    • Search Google Scholar
    • Export Citation
  • Holloway, C., and J. Neelin, 2007: The convective cold top and quasi equilibrium. J. Atmos. Sci., 64, 14671487.

  • Jin, Y., W. Thompson, S. Wang, and C. Liou, 2007: A numerical study of the effect of dissipative heating on tropical cyclone intensity. Wea. Forecasting, 22, 950966.

    • Search Google Scholar
    • Export Citation
  • Jordan, C., 1958: Mean soundings for the West Indies area. J. Meteor., 15, 9197.

  • Kinzer, G., and R. Gunn, 1951: The evaporation, temperature and thermal relaxation-time of freely falling waterdrops. J. Meteor., 8, 7183.

    • Search Google Scholar
    • Export Citation
  • Klemp, J., and R. Wilhelmson, 1978: The simulation of three-dimensional convective storm dynamics. J. Atmos. Sci., 35, 10701096.

  • Klemp, J., W. Skamarock, and J. Dudhia, 2007: Conservative split-explicit time integration methods for the compressible nonhydrostatic equations. Mon. Wea. Rev., 135, 28972913.

    • Search Google Scholar
    • Export Citation
  • Klemp, J., J. Dudhia, and A. Hassiotis, 2008: An upper gravity-wave absorbing layer for NWP applications. Mon. Wea. Rev., 136, 39874004.

    • Search Google Scholar
    • Export Citation
  • Kwon, Y., and W. Frank, 2005: Dynamic instabilities of simulated hurricane-like vortices and their impacts on the core structure of hurricanes. Part I: Dry experiments. J. Atmos. Sci., 62, 39553973.

    • Search Google Scholar
    • Export Citation
  • Kwon, Y., and W. Frank, 2008: Dynamic instabilities of simulated hurricane-like vortices and their impacts on the core structure of hurricanes. Part II: Moist experiments. J. Atmos. Sci., 65, 106122.

    • Search Google Scholar
    • Export Citation
  • LeVeque, R., 2002: Finite-Volume Methods for Hyperbolic Problems. Cambridge University Press, 558 pp.

  • Lipps, F., and R. Hemler, 1980: Another look at the thermodynamic equation for deep convection. Mon. Wea. Rev., 108, 7884.

  • McIntyre, M., 1989: On the Antarctic ozone hole. J. Atmos. Terr. Phys., 51, 2943.

  • Möller, J., and M. Montgomery, 1999: Vortex Rossby waves and hurricane intensification in a barotropic model. J. Atmos. Sci., 56, 16741687.

    • Search Google Scholar
    • Export Citation
  • Möller, J., and M. Montgomery, 2000: Tropical cyclone evolution via potential vorticity anomalies in a three-dimensional balance model. J. Atmos. Sci., 57, 33663387.

    • Search Google Scholar
    • Export Citation
  • Montgomery, M., and R. Kallenbach, 1997: A theory for vortex Rossby-waves and its application to spiral bands and intensity changes in hurricanes. Quart. J. Roy. Meteor. Soc., 123, 435465.

    • Search Google Scholar
    • Export Citation
  • Nolan, D., and L. Grasso, 2003: Nonhydrostatic, three-dimensional perturbations to balanced, hurricane-like vortices. Part II: Symmetric response and nonlinear simulations. J. Atmos. Sci., 60, 27172745.

    • Search Google Scholar
    • Export Citation
  • Nolan, D., Y. Moon, and D. Stern, 2007: Tropical cyclone intensification from asymmetric convection: Energetics and efficiency. J. Atmos. Sci., 64, 33773405.

    • Search Google Scholar
    • Export Citation
  • Ooyama, K., 1990: A thermodynamic foundation for modeling the moist atmosphere. J. Atmos. Sci., 47, 25802593.

  • Ooyama, K., 2001: A dynamic and thermodynamic foundation for modeling the moist atmosphere with parameterized microphysics. J. Atmos. Sci., 58, 20732102.

    • Search Google Scholar
    • Export Citation
  • Pauluis, O., 2007: Sources and sinks of available potential energy in a moist atmosphere. J. Atmos. Sci., 64, 26272641.

  • Pauluis, O., and I. Held, 2002: Entropy budget of an atmosphere in radiative–convective equilibrium. Part I: Maximum work and frictional dissipation. J. Atmos. Sci., 59, 125139.

    • Search Google Scholar
    • Export Citation
  • Powell, M., 1990: Boundary layer structure and dynamics in outer hurricane rainbands. Part II: Downdraft modification and mixed layer recovery. Mon. Wea. Rev., 118, 918938.

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

    • Search Google Scholar
    • Export Citation
  • Reasor, P., and M. Montgomery, 2001: Three-dimensional alignment and corotation of weak, TC-like vortices via linear vortex Rossby waves. J. Atmos. Sci., 58, 23062330.

    • Search Google Scholar
    • Export Citation
  • Reasor, P., M. Montgomery, F. Marks, and J. Gamache, 2000: Low-wavenumber structure and evolution of the hurricane inner core observed by airborne dual-Doppler radar. Mon. Wea. Rev., 128, 16531680.

    • Search Google Scholar
    • Export Citation
  • Reasor, P., M. Montgomery, and L. Grasso, 2004: A new look at the problem of tropical cyclones in vertical shear flow: Vortex resiliency. J. Atmos. Sci., 61, 322.

    • Search Google Scholar
    • Export Citation
  • Riemer, M., and M. Montgomery, 2011: Simple kinematic models for the environmental interaction of tropical cyclones in vertical wind shear. Atmos. Chem. Phys., 11, 93959414.

    • Search Google Scholar
    • Export Citation
  • Riemer, M., M. Montgomery, and M. Nicholls, 2010: A new paradigm for intensity modification of tropical cyclones: Thermodynamic impact of vertical wind shear on the inflow layer. Atmos. Chem. Phys., 10, 31633188.

    • Search Google Scholar
    • Export Citation
  • Rotunno, R., and K. Emanuel, 1987: An air–sea interaction theory for tropical cyclones. Part II: Evolutionary study using a nonhydrostatic axisymmetric numerical model. J. Atmos. Sci., 44, 542561.

    • Search Google Scholar
    • Export Citation
  • Rutherford, B., G. Dangelmayr, J. Persing, M. Kirby, and M. Montgomery, 2010a: Lagrangian mixing in an axisymmetric hurricane model. Atmos. Chem. Phys., 10, 67776791.

    • Search Google Scholar
    • Export Citation
  • Rutherford, B., G. Dangelmayr, J. Persing, W. Schubert, and M. Montgomery, 2010b: Advective mixing in a nondivergent barotropic hurricane model. Atmos. Chem. Phys., 10, 475497.

    • Search Google Scholar
    • Export Citation
  • Sapsis, T., and G. Haller, 2009: Inertial particle dynamics in a hurricane. J. Atmos. Sci., 66, 24812492.

  • Schecter, D., M. Montgomery, and P. Reasor, 2002: A theory for the vertical alignment of a quasigeostrophic vortex. J. Atmos. Sci., 59, 150168.

    • Search Google Scholar
    • Export Citation
  • Schubert, W., M. Montgomery, R. Taft, T. Guinn, S. Fulton, J. Kossin, and J. Edwards, 1999: Polygonal eyewalls, asymmetric eye contraction, and potential vorticity mixing in hurricanes. J. Atmos. Sci., 56, 11971223.

    • Search Google Scholar
    • Export Citation
  • Simpson, R., and R. Riehl, 1958: Mid-tropospheric ventilation as a constraint on hurricane development and maintenance. Preprints, Tech. Conf. on Hurricanes, Miami Beach, FL, Amer. Meteor. Soc., D4-1–D4-10.

  • Smith, R., 2006: Accurate determination of a balanced axisymmetric vortex in a compressible atmosphere. Tellus, 58A, 98103.

  • Srivastava, R., 1987: A model of intense downdrafts driven by the melting and evaporation of precipitation. J. Atmos. Sci., 44, 17521774.

    • Search Google Scholar
    • Export Citation
  • Tang, B., and K. Emanuel, 2010: Midlevel ventilation’s constraint on tropical cyclone intensity. J. Atmos. Sci., 67, 18171830.

  • Tripoli, G., and W. Cotton, 1981: The use of ice-liquid water potential temperature as a thermodynamic variable in deep atmospheric models. Mon. Wea. Rev., 109, 10941102.

    • Search Google Scholar
    • Export Citation
  • Wang, Y., 2002: Vortex Rossby waves in a numerically simulated tropical cyclone. Part I: Overall structure, potential vorticity, and kinetic energy budgets. J. Atmos. Sci., 59, 12131238.

    • Search Google Scholar
    • Export Citation
  • Wicker, L., and W. Skamarock, 2002: Time-splitting methods for elastic models using forward time schemes. Mon. Wea. Rev., 130, 20882097.

    • Search Google Scholar
    • Export Citation
  • Zeng, X., W. Tao, and J. Simpson, 2005: An equation for moist entropy in a precipitating and icy atmosphere. J. Atmos. Sci., 62, 42934309.

    • Search Google Scholar
    • Export Citation
  • Zhang, D., and E. Altshuler, 1999: The effects of dissipative heating on hurricane intensity. Mon. Wea. Rev., 127, 30323038.

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