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Some results and problems in numerical modelling of climatic characteristics of the ocean. (English) Zbl 0837.76074

Summary: A short critical analysis of main results of the recent numerical investigations on ocean climate modelling is presented. We divide them into two groups: (1) the investigations using the mass transport stream function \(\psi\); (2) the investigations which use the sea surface height \(\zeta\) with its equation derived from divergency of the two momentum equations.
In calculating by the models of the first group the steady state is almost reached, but the results obtained do not take into account the initial stage of energy conversions. As a result, the characteristics are oversmoothed. In the papers using the models of the second group the time of integration is too short, and therefore the resulting characteristics of the oceanic upper layer are realistic but the deeper layer variables have not reached the adjustment stage. As a result, the optimal time of adjustment is not found by both groups.
Using \(\zeta\) seems to be more preferable because it is easy to solve the problem for multiply connected domain and compare the results with observed data.

MSC:

76M99 Basic methods in fluid mechanics
86A05 Hydrology, hydrography, oceanography
00A71 General theory of mathematical modeling
76-02 Research exposition (monographs, survey articles) pertaining to fluid mechanics
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