CNOP Of The Two-Dimensional Quasigeostrophic Model On The Sphere And Application

In this thesis, we describe a new Fourier finite volume element method for solving the two-dimensional quasi-geostrophic equations on a sphere. This method is conservative and efficient. the pole problem is resolved at the same time. In addition, based on the two-dimensional quasi-geostrophic model, perturbation is found by the derivative free methods. The influence of different initial disturbances on the development of enstrophy is studied. It can be found from the experiments that, enstrophy development presents a linear development in a short time. However, as time goes on, this phenomenon disappears. It can be concluded that nonlinear mode can be replaced by tangent linear model in a short time. But in a long time, the tangent linear model lose effectiveness.