A numerical model of solving advaction equation by the implicit cubic spline method and the numerical experiments
采用隐式立方样条计算平流过程的数值模式及理想实验

In this paper, an implicit cubic spline scheme is adopted to solve the advection equation. Its non-conditionally linear stability is proved. Based on this scheme, a two dimensional numerical model with an upper absorbing layer and a turbulent energy equation based on the turbulent closure have been developed in a terrain following coordinate.Several numerical experiments are carried out. The reasonable results show that the model is suitable for modeling and studying topographical forcing and induced mesoscale systems with sat -isfactory, accuracy, computational stability and flexibility for model's horizontal resolution and complex topography.