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    Linear Normal Modes of a Moving, Shallow-Water Barotropic Vortex 

    Source: Journal of the Atmospheric Sciences:;1989:;Volume( 047 ):;issue: 017:;page 2141
    Author(s): Willoughby, H. E.
    Publisher: American Meteorological Society
    Abstract: Calculations with a linear semispectral model of a moving tropical-cyclone-like barotropic vortex (Willoughby 1988) show that a vortex with cyclonic circulation throughout exhibits unphysically fast poleward motion on a ...
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    Reply 

    Source: Journal of the Atmospheric Sciences:;1991:;Volume( 048 ):;issue: 009:;page 1209
    Author(s): Willoughby, H. E.
    Publisher: American Meteorological Society
    Abstract: No abstract available.
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    Linear Motion of a Shallow-Water, Barotropic Vortex 

    Source: Journal of the Atmospheric Sciences:;1988:;Volume( 045 ):;issue: 013:;page 1906
    Author(s): Willoughby, H. E.
    Publisher: American Meteorological Society
    Abstract: A barotropic model of tropical cyclone motion follows from calculation of linear wavenumber-1 perturbations on a moving axisymmetric, maintained vortex. The perturbations are Rossby waves that depend upon the radial gradient ...
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    Gradient Balance in Tropical Cyclones 

    Source: Journal of the Atmospheric Sciences:;1989:;Volume( 047 ):;issue: 002:;page 265
    Author(s): Willoughby, H. E.
    Publisher: American Meteorological Society
    Abstract: Analysis of a large inventory of in situ observations from research aircraft shows that the gradient wind approximates the axisymmetric swirling flow in the free atmosphere within 150 km of the centers of Atlantic hurricanes ...
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    Temporal Changes of the Primary Circulation in Tropical Cyclones 

    Source: Journal of the Atmospheric Sciences:;1989:;Volume( 047 ):;issue: 002:;page 242
    Author(s): Willoughby, H. E.
    Publisher: American Meteorological Society
    Abstract: More than 900 radial profiles of in situ aircraft observations collected in 19 Atlantic hurricanes and tropical storms over 13 years confirm that the usual mechanism of tropical cyclone intensification involves contracting ...
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    Linear Motion of a Shallow-Water Barotropic Vortex as an Initial-Value Problem 

    Source: Journal of the Atmospheric Sciences:;1992:;Volume( 049 ):;issue: 021:;page 2015
    Author(s): Willoughby, H. E.
    Publisher: American Meteorological Society
    Abstract: This paper revisits calculation of motion for a shallow-water barotropic vortex with fixed mean axisymmetric structure. The algorithm marches the linear primitive equations for the wavenumber 1 asymmetry forward intime ...
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    Normal-Mode Initialization of Barotropic Vortex Motion Models 

    Source: Journal of the Atmospheric Sciences:;1995:;Volume( 052 ):;issue: 024:;page 4501
    Author(s): Willoughby, H. E.
    Publisher: American Meteorological Society
    Abstract: An important limitation of numerical hurricane track forecasts is the difficulty in coaxing the vortex to assume the correct initial motion. Results from a semispectral, barotropic, linear model suggest a remedy. When the ...
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    Nonlinear Motion of a Shallow Water Barotropic Vortex 

    Source: Journal of the Atmospheric Sciences:;1994:;Volume( 051 ):;issue: 024:;page 3722
    Author(s): Willoughby, H. E.
    Publisher: American Meteorological Society
    Abstract: Nonlinear motions of a shallow water barotropic vortex on a ? plane differ substantially from the analogous linear motions. The nonlinear model described here, in which wavenumber 1?3 asymmetries interact with each other ...
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    Tropical Cyclone Eye Thermodynamics 

    Source: Monthly Weather Review:;1998:;volume( 126 ):;issue: 012:;page 3053
    Author(s): Willoughby, H. E.
    Publisher: American Meteorological Society
    Abstract: In intense tropical cyclones, sea level pressures at the center are 50?100 hPa lower than outside the vortex, but only 10?30 hPa of the total pressure fall occurs inside the eye between the eyewall and the center. Warming ...
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    The Golden Radius in Balanced Atmospheric Flows 

    Source: Monthly Weather Review:;2010:;volume( 139 ):;issue: 004:;page 1164
    Author(s): Willoughby, H. E.
    Publisher: American Meteorological Society
    Abstract: n gradient-balanced, cyclonic flow around low pressure systems, a golden radius exists where RG, the gradient-wind Rossby number, is ??1 = 0.618 034, the inverse golden ratio. There, the geostrophic, cyclostrophic, and ...
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