Tropical cyclone evolution in a minimal axisymmetric model revisited

An improved version of a minimal model for a tropical cyclone is described. The model is used to revisit some fundamental aspects of vortex behaviour in the prototype problem for tropical cyclone intensification. After rapidly intensifying to a mature phase in which the maximum tangential wind speed remains quasi‐steady for a few days, the vortex ultimately decays. In a 20‐day simulation, the vortex never becomes globally steady. In particular, the upper anticyclone continues to expand for the duration of the integration. These results are consistent with those of recent studies using more sophisticated numerical models. As in the latter models, an important feature of the dynamics of spin‐up is the development of supergradient winds in the boundary layer and the vertical advection of the associated high tangential‐momentum air from the boundary layer to spin up the eyewall region. This mechanism, while consistent with some recently reported results, is not part of the classical theory of spin‐up.

[1]  J. McWilliams,et al.  Asymmetric and axisymmetric dynamics of tropical cyclones , 2013 .

[2]  K. Emanuel Self-Stratification of Tropical Cyclone Outflow. Part II: Implications for Storm Intensification , 2012 .

[3]  M. Montgomery,et al.  An investigation of rotational influences on tropical‐cyclone size and intensity , 2011 .

[4]  Jason Dunion,et al.  Rewriting the Climatology of the Tropical North Atlantic and Caribbean Sea Atmosphere , 2011 .

[5]  M. Montgomery,et al.  Hurricane boundary‐layer theory , 2010 .

[6]  Nguyen Van Sang,et al.  Tropical cyclone spin‐up revisited , 2009 .

[7]  George H. Bryan,et al.  The Maximum Intensity of Tropical Cyclones in Axisymmetric Numerical Model Simulations , 2009 .

[8]  Seoleun Shin,et al.  Tropical‐cyclone intensification and predictability in a minimal three‐dimensional model , 2008 .

[9]  P. Black,et al.  First direct measurements of enthalpy flux in the hurricane boundary layer: The CBLAST results , 2008 .

[10]  Jun A. Zhang,et al.  Effects of Roll Vortices on Turbulent Fluxes in the Hurricane Boundary Layer , 2008 .

[11]  Nguyen Van Sang,et al.  Tropical‐cyclone intensification and predictability in three dimensions , 2008 .

[12]  P. Black,et al.  Turbulent Fluxes in the Hurricane Boundary Layer. Part I: Momentum Flux , 2007 .

[13]  P. Black,et al.  Turbulent Fluxes in the Hurricane Boundary Layer. Part II: Latent Heat Flux , 2007 .

[14]  J. Kossin,et al.  On the distribution of subsidence in the hurricane eye , 2007 .

[15]  Jun A. Zhang,et al.  Air-sea exchange in hurricanes : Synthesis of observations from the coupled boundary layer air-sea transfer experiment , 2007 .

[16]  T. Dunkerton,et al.  A Unified Perspective on the Dynamics of Axisymmetric Hurricanes and Monsoons , 2006 .

[17]  T. Frisius Surface‐flux‐induced tropical cyclogenesis within an axisymmetric atmospheric balanced model , 2006 .

[18]  Roger K. Smith Accurate determination of a balanced axisymmetric vortex in a compressible atmosphere , 2006 .

[19]  Hongyan Zhu,et al.  Effects of vertical differencing in a minimal hurricane model , 2003 .

[20]  Hongyan Zhu,et al.  A minimal axisymmetric hurricane model , 2002 .

[21]  Hongyan Zhu,et al.  A Minimal Three-Dimensional Tropical Cyclone Model , 2001 .

[22]  P. Black,et al.  Surface Observations in the Hurricane Environment , 2000 .

[23]  K. Emanuel Some Aspects of Hurricane Inner-Core Dynamics and Energetics , 1997 .

[24]  P. Zuidema,et al.  Radiative-Dynamical Consequences of Dry Tongues in the Tropical Troposphere , 1996 .

[25]  K. Emanuel The Finite-Amplitude Nature of Tropical Cyclogenesis , 1989 .

[26]  M. DeMaria,et al.  A Simplified System of Equations for Simulation of Tropical Cyclones , 1988 .

[27]  W. M. Gray,et al.  Typhoon Structure as Revealed by Aircraft Reconnaissance. Part I: Data Analysis and Climatology , 1988 .

[28]  K. Emanuel,et al.  An Air–Sea Interaction Theory for Tropical Cyclones. Part II: Evolutionary Study Using a Nonhydrostatic Axisymmetric Numerical Model , 1987 .

[29]  A. Arakawa,et al.  Vertical Differencing of the Primitive Equations in Sigma Coordinates , 1983 .

[30]  R. Anthes Development of Asymmetries in a Three-Dimensional Numerical Model of the Tropical Cyclone1 , 1972 .

[31]  K. Ooyama,et al.  Numerical Simulation of the Life Cycle of Tropical Cyclones , 1969 .

[32]  J. G. Charney,et al.  On the Growth of the Hurricane Depression , 1964 .

[33]  A. Woeikof Tropical cyclones. , 1884, Science.

[34]  ..................................................,et al.  Development of Asymmetries in a Three-Dimensional Numerical Model of the Tropical Cyclone1 , 1972 .