The σ -model of the general ocean circulation is described in the paper, its numerical implementation and the parallelization method for massively parallel computing systems are considered. The method called two-dimensional domain decomposition implemented by the MPI technology is used. The efficiency of the code was tested on the ‘Lomonosov’ supercomputer at the Moscow University using a geographic ocean grid with the resolution of 0.5° × 0.25°.
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Terekhov et al. (2011) studied this question.