New equations for nearly geostrophic flow
暂无分享,去创建一个
I have used a novel approach based upon Hamiltonian mechanics to derive new equations for nearly geostrophic motion in a shallow homogeneous fluid. The equations have the same order accuracy as (say) the quasigeostrophic equations, but they allow order-one variations in the depth and Coriolis parameter. My equations exactly conserve proper analogues of the energy and potential vorticity, and they take a simple form in transformed coordinates.
[1] Brian J. Hoskins,et al. The Geostrophic Momentum Approximation and the Semi-Geostrophic Equations. , 1975 .
[2] A. T. Parsons. A two-layer model of Gulf Stream separation , 1969, Journal of Fluid Mechanics.
[3] E. Lorenz. Energy and Numerical Weather Prediction , 1960 .