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

Authors

  • L. Katsalova Ukrainian Hydrometeorological Institute, Kyiv, Ukraine

DOI:

https://doi.org/10.24028/gzh.0203-3100.v37i6.2015.111180

Keywords:

convection diffusion equation, additive-averaged splitting, explicit account method, stability, convergence

Abstract

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 method has been considered. The results of studies of stability and convergence of the method have been presented. Appropriate math grounds and evaluations have been given. Based on the results, conclusions regarding the effectiveness of the method for solving hydrodynamic equations are made.

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Published

2015-12-01

How to Cite

Katsalova, L. (2015). The study of convergence of additive-averaged splitting based on the scheme of explicit solution for three-dimensional equations of convective diffusion. Geofizicheskiy Zhurnal, 37(6), 131–136. https://doi.org/10.24028/gzh.0203-3100.v37i6.2015.111180

Issue

Vol. 37 No. 6 (2015)

Section

Scientific Reports

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