# On the effective numerical methods of solution of shallow water problem. Realization of the model for the easternmost part of the Black Sea

## Main Article Content

## Abstract

*Two versions of the numerical method of solution of a shallow water equation system based on the two-cycle splitting method with realization for the easternmost water area of the Black Sea are presented. In the first version solution of the equation system, which is received as a result of splitting of the basic equation system with respect to physical processes (adaptation stage), is carried out with use of factorization method regarding to current velocity components. In the second version the equation system received on the adaptation stage is reduced to the oscillation equations of string, which are also solved by factorization method. The algorithms considered in the present paper*

*do not require use of iterative methods, which considerably increase machine time for realization of a task.*

**Published:**Apr 24, 2013

## Article Details

*Journals of Georgian Geophysical Society*,

*15*, 14–31. Retrieved from https://ggs.openjournals.ge/index.php/GGS/article/view/45

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