For the purpose of transporting and diffusion modeling of pollutants in the Azov Sea and solving the environment tasks a barotropic hydrodynamic model in sigma-coordinates is implemented. The results of calculations at various wild stresses are considered as initial information while modeling transporting passive admixture. For implementing the variation algorithm of assimilation of the measurements data and identification the initial parameters of the model mathematical apparatus of adjoint equations is used. The questions of choice of compatible difference approximations at numerical realization of the head and adjoint models are consider. The TVD-approximations and the variant of monotonous equations are presented. The results of numerical modeling are compared to satellite data of concentration of suspended matter a good correlation of model estimations with the measurements data is obtained. On the basis of application of adjoint equation theory the functions of influence of initial data on admixture concentration for the areas of intensive navigation in the Azov Sea are created. At implementing such an algorithm we obtain not only evaluation data of the controlled functional but also the opportunity to identify the possible pollution sources by spatial structure of created influence functions and apriority information of the sources. By setting various initial data it's possible to estimate the functional in questions characterizing the environment situation without integrating the head model. Thus on the basis of solution of adjoint tasks and creating influence functions operative estimation of initial data influence on controlled concentration values of admixture in a certain aria is possible. Such information can be useful at making decisions with the purpose of optimization of anthropogenic load on ecosystem of Azov-Black Sea basin. The approach based on integrating adjoint equations can be applied while solving various ecological tasks. It allows to find influence areas of the initial fields and pollution sources on the concentration field of investigated admixture in a certain area.

Для целей моделирования распространения загрязняющих веществ в Азовском море и решения задач экологической направленности реализуется баротропная гидродинамическая модель в сигма координатах. Рассматриваются вопросы выбора согласованных между собой разностных аппроксимаций при численной реализации основной и сопряженной модели. Представлены TVD аппроксимации и вариант монотонной консервативной схемы для интегрирования уравнения переноса. Результаты численного моделирования сравниваются со спутниковыми данными о концентрации взвешенного вещества, получено хорошее совпадение модельных оценок с данными измерений. На основе применения теории сопряженных уравнений построены функции влияния начальных данных на концентрацию примеси для районов интенсивного судоходства в Азовском море.