Large-Scale Atmosphere-Ocean Dynamics I by John Norbury, Ian Roulstone

By John Norbury, Ian Roulstone

The complicated flows within the surroundings and oceans are believed to be properly modelled by means of the Navier-Stokes equations of fluid mechanics including classical thermodynamics. despite the fact that, as a result of huge, immense complexity of those equations, meteorologists and oceanographers have developed approximate versions of the dominant, large-scale flows that regulate the evolution of climate platforms. The simplifications usually lead to versions which are amenable to answer either analytically and numerically. This quantity and its significant other clarify why such simplifications to Newton's moment legislations produce actual, beneficial versions and, simply because the meteorologist seeks styles within the climate, mathematicians search constitution within the governing equations. They exhibit how geometry and research facilitate resolution options.

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Large-Scale Atmosphere-Ocean Dynamics I

The advanced flows within the surroundings and oceans are believed to be properly modelled via the Navier-Stokes equations of fluid mechanics including classical thermodynamics. even if, as a result of huge, immense complexity of those equations, meteorologists and oceanographers have developed approximate types of the dominant, large-scale flows that keep an eye on the evolution of climate platforms.

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1947) A contribution to the problem of development. R. Meteorol. , 73, 370–383. Z. J. (2000) The dynamical consequences for tropopause folding of PV anomalies induced by surface frontal collapse. R. Meteorol. , 126, 2747–2764. A. White 1 Introduction One of the attractions of meteorology is its many-faceted character. It invites study by mathematicians and statisticians as well as by physicists of either practical or theoretical disposition. Amongst other fields, its concerns border or overlap those of oceanography, geophysics, environmental science, biological science, agriculture and human physiology, and impinge on those of economics, politics and psychology.

68–87. , Roulstone, I. (1997) Examples of quaternionic and K¨ ahler structures in Hamiltonian models of nearly geostrophic flow. J. Phys. A. , 30, L63–L68. , Roulstone, I. (2001) Holomorphic structures in hydrodynamical models of nearly geostrophic flow. Proc. R. Soc. Lond. A 457, 1519–1531. Roulstone, I. and Norbury, J. (1994) A Hamiltonian structure with contact geometry for the semi-geostrophic equations. J. , 272, 211–233. ¨ Runge, C. (1895) Uber die numerische Aufl¨ osung vor Differentialgleichungen.

White 1 Introduction One of the attractions of meteorology is its many-faceted character. It invites study by mathematicians and statisticians as well as by physicists of either practical or theoretical disposition. Amongst other fields, its concerns border or overlap those of oceanography, geophysics, environmental science, biological science, agriculture and human physiology, and impinge on those of economics, politics and psychology. ) Its breadth can lead to a perception that meteorology is a ‘soft’ science.

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