Geophysical Journal | 2015 volume 37 6

The study of convergence of additive-averaged splitting based on the scheme of explicit solution for three-dimensional equations of convective diffusion

© L.N. Katsalova, 2015

Modern mathematical forecast models are based on hydrodynamic equations, which are three- dimensional convection diffusion equations in the general form. In the article, the new approach to solving such equations, which consists in using the additive-averaged splitting on the basis of the explicit account scheme, is described. The results of stability and convergence of the method are presented. Appropriate math studies and evaluations given. Based on the results, conclusions regarding the effectiveness of the method for solving hydrodynamic equations are made.

Key words: convection diffusion equation, additive-averaged splitting, explicit account method, stability, convergence.

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