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Structural equivalence and stability of some atmospheric air flow models

Brojewski R.

Journal of Technical Physics

2001

Vol. 42, no 3

305-325

Two ways of modeling of flows in lower atmosphere forced by stationary flows in upper layers of the atmosphere are presented in the paper. Attention is paid to inequivalence, due to the Coriolis force, of differential models based on 3-D equations of flow of liquid and based on the flow description by means of the stream function. Numerical difficulties of the two ways of solving the flow problem and a way of overcoming them are presented. Structural instability of the models is proved and some of the responsible factors are indicated. Among others are also formal parameters of the model, e.g. the time step of integration.