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Nonlinear self-adjointness and invariant solutions of a 2D Rossby wave equation

100%

Cimpoiasu R. , Constantinescu R.

Open Physics

2014

tom 12

nr 2

81-89

The paper investigates the nonlinear self-adjointness of the nonlinear inviscid barotropic nondivergent vorticity equation in a beta-plane. It is a particular form of Rossby equation which does not possess variational structure and it is studied using a recently method developed by Ibragimov. The conservation laws associated with the infinite-dimensional symmetry Lie algebra models are constructed and analyzed. Based on this Lie algebra, some classes of similarity invariant solutions with nonconstant linear and nonlinear shears are obtained. It is also shown how one of the conservation laws generates a particular wave solution of this equation.

Role and response of ocean–atmosphere interactions during Amphan (2020) super cyclone

75%

Vissa N. K. , Anandh P. C. , Gulakaram V. S. , Konda G.

Acta Geophysica

2021

tom Vol. 69, no. 5

1997--2010

Cyclone Amphan (May 2020) is one of the strongest cyclones in the recent decade during premonsoon season in the North Indian Ocean. Satellite, observational and reanalysis data products were analysed before, during and after the passage of Amphan to understand the role of ocean–atmosphere interactions for the rapid intensification, recurvature and upper ocean response. To examine the pre-oceanic conditions and rapid intensifcation of Amphan in the North Indian Ocean, a twolayer reduced gravity model is used to derive the upper ocean thermal profle to estimate the tropical cyclone heat potential (TCHP). Results reveal that prior to the passage of Amphan, unusual high TCHP anomalies (>25 kJcm−2) and SST anomalies (>1 °C) are evident. Time-longitude, sea level anomalies suggest that high TCHP and SST are associated with propagation of downwelling Kelvin and Rossby waves in the Equatorial Indian Ocean and the Bay of Bengal, respectively. Before rapid intensification, Amphan changes its path from north-northwestward to north-northeastward direction. Amphan produced significant left rainfall asymmetry during its passage. Analysis from mid-tropospheric (600 hPa) equivalent potential temperature (K) reveals the presence and meander of dryline along the western Bay of Bengal (BoB) (< 325 K). The upper ocean response during life history of Amphan is analysed from Argo floats within vicinity of cyclone track. The key finding in this study is that mechanical mixing and intense precipitation are responsible for the changes in mixed layer depth and barrier layer along the Amphan track. These results indicate that the presence of dryline in the middle troposphere is crucial for the recurvature of Amphan track during premonsoon season. This study highlights that large-scale environmental and ocean–atmosphere interactions for the rapid intensification of cyclone in the North Indian Ocean.