Largescale atmosphereocean dynamics. [EBook] / edited by John Norbury and Ian Roulstone. Volume 1, Analytical methods and numerical models
Largescale atmosphereocean dynamics. [EBook] / edited by John Norbury and Ian Roulstone. Volume 1, Analytical methods and numerical models
Numerical weather prediction is a problem of mathematical physics. The complex flows in the atmosphere and oceans are believed to be accurately modelled by the NavierStokes equations of fluid mechanics together with classical thermodynamics. However, due to the enormous complexity of these equation...
Personal Name(s):  Norbury, John, (editor) 

Roulstone, Ian, (editor)  
Imprint: 
Cambridge :
Cambridge University Press,
2002

Physical Description: 
1 online resource (xxx, 370 pages) 
Note: 
englisch 
ISBN: 
9780511549991 9780521806817 
Subject (LOC):  
Full Text 
Numerical weather prediction is a problem of mathematical physics. The complex flows in the atmosphere and oceans are believed to be accurately modelled by the NavierStokes 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, largescale 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. 