Large-scale Atmosphere-ocean Dynamics: Volume 1: Analytical Methods And Numerical Models
by John Norbury /
2002 / English / PDF
6.5 MB Download
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.
The simplifications often result in models that are amenable to
solution both analytically and numerically. This volume and its
companion 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. They show how geometry and analysis facilitate
solution strategies.
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.
The simplifications often result in models that are amenable to
solution both analytically and numerically. This volume and its
companion 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. They show how geometry and analysis facilitate
solution strategies.
