Boundary-Layer Similarity Under an Axisymmetric, Gradient Wind Vortex

We present similarity solutions for the mean boundary-layer profiles under an axisymmetric vortex that is in gradient wind balance; the similarity model includes the nonlinear momentum advection and curvature terms. These solutions are a generalization of the Ekman layer mean flow, which is the canonical boundary-layer basic state under a uniform, geostrophically-balanced flow. Near-surface properties such as inflow angle, surface wind factor, diffusive transport of kinetic energy into the surface layer and dissipational heating are calculated and shown to be sensitive to the choice of turbulence parameterization.

[1]  C. Rossby,et al.  The layer of frictional influence in wind and ocean currents , 1935 .

[2]  H. Lettau A Re‐examination of the “Leipzig Wind Profile” Considering some Relations between Wind and Turbulence in the Frictional Layer , 1950 .

[3]  Roger K. Smith The surface boundary layer of a hurricane , 1968 .

[4]  A. Eliassen On the Ekman Layer in a circular Vortex , 1971 .

[5]  G. Holland An Analytic Model of the Wind and Pressure Profiles in Hurricanes , 1980 .

[6]  W. Large,et al.  Open Ocean Momentum Flux Measurements in Moderate to Strong Winds , 1981 .

[7]  R. Wu,et al.  An Analysis of Ekman Boundary Layer Dynamics Incorporating the Geostrophic Momentum Approximation , 1982 .

[8]  G. Mellor,et al.  Development of a turbulence closure model for geophysical fluid problems , 1982 .

[9]  Kerry Emanuel,et al.  An Air-Sea Interaction Theory for Tropical Cyclones. Part I: Steady-State Maintenance , 1986 .

[10]  G. Levy,et al.  Ocean surface pressure fields from satellite-sensed winds , 1986 .

[11]  I. Troen,et al.  A simple model of the atmospheric boundary layer; sensitivity to surface evaporation , 1986 .

[12]  G. Levy Surface Dynamics of Observed Maritime Fronts , 1989 .

[13]  Kerry A. Emanuel,et al.  The Theory of Hurricanes , 1991 .

[14]  R. A. Brown,et al.  Estimating Central Pressures of Oceanic Midlatitude Cyclones , 1994 .

[15]  Kerry A. Emanuel,et al.  The Behavior of a Simple Hurricane Model Using a Convective Scheme Based on Subcloud-Layer Entropy Equilibrium , 1995 .

[16]  K. Emanuel Sensitivity of Tropical Cyclones to Surface Exchange Coefficients and a Revised Steady-State Model incorporating Eye Dynamics , 1995 .

[17]  G. I. Barenblatt Scaling: Self-similarity and intermediate asymptotics , 1996 .

[18]  R. Foster Structure and energetics of optimal Ekman layer perturbations , 1997, Journal of Fluid Mechanics.

[19]  K. Emanuel,et al.  Dissipative heating and hurricane intensity , 1998 .

[20]  B. Stevens Quasi-Steady Analysis of a PBL Model with an Eddy-Diffusivity Profile and Nonlocal Fluxes , 2000 .

[21]  M. Montgomery,et al.  Hurricane Maximum Intensity: Past and Present , 2000 .

[22]  Scott A. Braun,et al.  Sensitivity of High-Resolution Simulations of Hurricane Bob (1991) to Planetary Boundary Layer Parameterizations , 2000 .

[23]  Jeffrey D. Kepert,et al.  The dynamics of boundary layer jets within the tropical cyclone core. Part I: Linear theory , 2001 .

[24]  Jeffrey D. Kepert,et al.  The Dynamics of Boundary Layer Jets within the Tropical Cyclone Core. Part II: Nonlinear Enhancement , 2001 .

[25]  J. Businger,et al.  Viscous Dissipation of Turbulence Kinetic Energy in Storms , 2001 .

[26]  G. Young,et al.  Supplement to Rolls, Streets, Waves, and More , 2002 .

[27]  B. Stevens,et al.  Entrainment, Rayleigh Friction, and Boundary Layer Winds over the Tropical Pacific , 2002 .

[28]  G. Young,et al.  ROLLS, STREETS, WAVES, AND MORE: A Review of Quasi-Two-Dimensional Structures in the Atmospheric Boundary Layer , 2002 .

[29]  E. F. Bradley,et al.  Bulk Parameterization of Air–Sea Fluxes: Updates and Verification for the COARE Algorithm , 2003 .

[30]  Philippe Drobinski,et al.  On the Origin of Near-Surface Streaks in the Neutrally-Stratified Planetary Boundary Layer , 2003 .

[31]  Jérôme Patoux,et al.  Global Pressure Fields from Scatterometer Winds , 2003 .

[32]  Lawrence F. Shampine,et al.  Solving ODEs with MATLAB , 2002 .

[33]  M. Powell,et al.  Reduced drag coefficient for high wind speeds in tropical cyclones , 2003, Nature.

[34]  Roger K. Smith A simple model of the hurricane boundary layer , 2003 .

[35]  M. Rahn,et al.  Parametric Representation of the Primary Hurricane Vortex. Part I: Observations and Evaluation of the Holland (1980) Model , 2004 .

[36]  Ralph C. Foster,et al.  Why Rolls are Prevalent in the Hurricane Boundary Layer , 2005 .

[37]  Steven Businger,et al.  An Observational Case for the Prevalence of Roll Vortices in the Hurricane Boundary Layer , 2005 .

[38]  P. Drobinski,et al.  Near-Surface Coherent Structures and The Vertical Momentum Flux in a Large-Eddy Simulation of the Neutrally-Stratified Boundary Layer , 2006 .

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

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

[41]  R. Foster,et al.  An Evaluation of Scatterometer-Derived Oceanic Surface Pressure Fields , 2008 .

[42]  G. Holland A revised hurricane pressure-wind model , 2008 .