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• W2102082914 abstract "A simple numerical model was developed to solve a forced version of the two-dimensional barotropic vorticity equation, on a β-plane stretched around the Earth. The model is designed to produce a turbulent flow and a crude representation of the Northern Hemisphere storm track. The probability distributions of vorticity produced were analysed, with a particular focus on the extreme values attained. Two different experiments have been performed with the model firstly without differential rotation (β = 0), and secondly with a mid-latitude value of β (‘geostrophic turbulence’). These experiments produced qualitatively similar turbulence to previous numerical modelling studies coherent, isolated vortices for β = 0 and stretched vortices confined to a latitude band for β > 0, more representative of the real atmosphere. Through analysis of the statistical moments of the time distributions of vorticity it was shown that higher order moments are dominated by extreme values of vorticity. This has demonstrated that, although commonly used, care should be exercised when using standard moment measures to summarise turbulence. The standard moments were compared with quantile moments and they produced similar results, though the quantile moments are more robust to extreme value outliers. The geostrophic turbulence produces moments that are qualitatively similar to the patterns of observations of White (1980). Generalised Extreme Value (GEV) probability models were fitted to the extremes of both positive and negative vorticity produced in the model. In the β = 0 case it was found that the extreme distribution shape parameters of positive and negative vorticity extremes are anti-symmetric, but with a low statistical significance. This effect is also observed in the atmosphere as low pressure systems become more extreme than high pressure systems. However, it was also shown that this effect is initial condition dependent in the model. In the geostrophic case, this asymmetry is not present, though there is a strong latitudinal variation of the extreme distribution shape parameter. Converting the extremes of vorticity to pressure through scaling relations produces values comparable to the extreme pressures observed in the real atmosphere." @default.
• W2102082914 created "2016-06-24" @default.
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• W2102082914 date "2005-01-01" @default.
• W2102082914 modified "2023-09-27" @default.
• W2102082914 title "VORTICITY EXTREMES IN NUMERICAL SIMULATIONS OF 2-D GEOSTROPHIC TURBULENCE" @default.
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