02265nam a22003258i 4500001001600000003000700016008004100023020001800064020001800082035002000100041000800120082001800128245015000146264007100296300003900367336002600406337002600432338003600458500001300494520105900507650003701566650003701603650004601640700002701686700002801713856005501741932003201796596000601828949010501834CR9780511549991UkCbUP090511s2002||||enk o ||1 0|eng|d a9780511549991 a9780521806817 a(Sirsi) a792576 aeng00a551.5/24622200aLarge-scale atmosphere-ocean dynamics.nVolume 1,pAnalytical methods and numerical modelsh[E-Book] /cedited by John Norbury and Ian Roulstone. 1aCambridge :bCambridge University Press,c2002e(CUP)fCUP20200108 a1 online resource (xxx, 370 pages) atextbtxt2rdacontent acomputerbc2rdamedia aonline resourcebcr2rdacarrier aenglisch aNumerical weather prediction is a problem of mathematical physics. The complex flows in the atmosphere and oceans are believed to be accurately modelled by the Navier-Stokes equations of fluid mechanics together with classical thermodynamics. However, due to the enormous complexity of these equations, meteorologists and oceanographers have constructed approximate models of the dominant, large-scale flows that control the evolution of weather systems and that describe, for example, the dynamics of cyclones and ocean eddies. The simplifications often result in models that are amenable to solution both analytically and numerically. The lectures in these volumes examine and explain why such simplifications to Newton's second law produce accurate, useful models and, just as the meteorologist seeks patterns in the weather, mathematicians seek structure in the governing equations, such as groups of transformations, Hamiltonian structure and stability. This 2002 book and its companion show how geometry and analysis facilitate solution strategies. 0aDynamic meteorologyvCongresses. 0aDynamic climatologyvCongresses. 0aOcean-atmosphere interactionvCongresses.1 aNorbury, John,eeditor1 aRoulstone, Ian,eeditor40uhttps://doi.org/10.1017/CBO9780511549991zVolltext aCambridgeCore (Order 30059) a1 aXX(792576.1)wAUTOc1i792576-1001lELECTRONICmZBrNsYtE-BOOKu8/1/2020xUNKNOWNzUNKNOWN1ONLINE