Boundary-Layer Meteorol
DOI 10.1007/s10546-014-9974-7
ARTICLE
Turbulence Spectra for Boundary-Layer Winds
in Tropical Cyclones: A Conceptual Framework
and Field Measurements at Coastlines
Lixiao Li · Ahsan Kareem · Julian Hunt ·
Yiqing Xiao · Chaoying Zhou · Lili Song
Received: 22 July 2013 / Accepted: 7 October 2014
© Springer Science+Business Media Dordrecht 2014
Abstract A conceptual model is proposed for the characteristic sub-ranges in the velocity
and temperature spectra in the boundary layer of tropical cyclones (hurricanes or typhoons).
The model is based on observations and computation of radial and vertical profiles of the
mean flow and turbulence, and on the interpretation of eddy mechanisms determined by
shear (namely roll and streak structures near the surface), convection, rotation, blocking and
sheltering effects at the ground/sea surface and in internal shear layers. The significant sub-
ranges, as the frequency increases, are associated with larger energy containing eddies, shear
and blocking, inertial transfer between large and small scales, and intense small-scale eddies
generated near the surface caused by waves, coastal roughness change, and the buoyancy
force associated with the evaporation of spray droplets. These sub-ranges vary with the
locations at which the spectra are measured, i.e. the level z in relation to the height z
max
of
the peak mean velocity and the depth h of the boundary layer, and the radius r in relation to
the eyewall radius R
ew
and the outer-vortex radius R
ov
. For two tropical cyclones (Nuri and
Hagupit), experimental data were analyzed. Spectra were measured where r is near to R
ew
and R
ov
using four 1-h long datasets at coastal towers, at 10- and 60-m heights for tropical
cyclone Nuri, and at 60-m height for tropical cyclone Hagupit at the south China coast.
The field measurements of spectra within the boundary layer show significant sub-ranges of
self-similar energy spectra (lying between the length scale 1,000 m and the smallest scales
less than 40 m) that are consistent with the above conceptual model of the surface layer.
However, with very high wind speeds near the eyewall, the energy of the independently
L. Li · Y. Xiao · C. Zhou
Shenzhen Graduate School, Harbin Institute of Technology, Shenzhen 518055, China
A. Kareem (B)
NatHaz Modeling Laboratory, University of Notre Dame, Notre Dame 46556, USA
e-mail: kareem@nd.edu
J. Hunt
Institute of Disaster Reduction, University College London, London WC1E 6BT, UK
L. Song
Public Meteorological Service Center, China Meteorological Administration, Beijing 10081, China
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