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Baroclinic effects on the distribution of tropical cyclone eye subsidence
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2022
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Source: Frontiers in Earth Science, 10
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Journal Title:Frontiers in Earth Science
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Description:Solutions of the secondary (transverse) circulation equation for an axisymmetric, gradient balanced vortex are used to better understand the distribution of subsidence in the eye of a tropical cyclone. This secondary circulation equation is derived using both the physical radius coordinate r and the potential radius coordinate R. In the R-coordinate version, baroclinic effects are implicit in the coordinate transformation and are recovered in the final step of transforming the solution for the streamfunction Ψ back from R-space to r-space. Two types of elliptic problems for Ψ are formulated: 1) the full secondary circulation problem, which is formulated on 0 ≤ R < ∞, with the diabatic forcing due to eyewall convection appearing on the right-hand side of the elliptic equation; 2) the restricted secondary circulation problem, which is formulated on 0 ≤ R ≤ Rew, where the constant Rew is the potential radius of the inside edge of the eyewall, with no diabatic forcing but with the streamfunction specified along R = Rew. The restricted secondary circulation problem can be solved semi-analytically for the case of vertically sheared, Rankine vortex cores. The solutions identify the conditions under which large values of radial and vertical advection of θ are located in the lower troposphere at the outer edge of the eye, thereby producing a warm-ring thermal structure.
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Source:Frontiers in Earth Science, 10
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ISSN:2296-6463
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Rights Information:CC BY
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Compliance:Library
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