Computer modeling and measurement of characteristics of water masses distribution to forecast probability of area flooding

2017 
The method based on the solution of a problem of any gap disintegration is offered. It is based on the consecutive solution of the classical equations of small water on the equal plane by the Godunov's method taking into account the influence of current vertical heterogeneity when calculating streams through borders of the cells adjoining step borders. The accounting of vertical heterogeneity is provided with the use of the Riemann task solution on a step on the basis of the small water quasitwo-layer model. The developed differential scheme provides the uniformity of the decision implementation in the areas having a difficult geometry of the spreading surface as well as an equal bottom, profitability during the work with big settlement areas on space, the accounting of forward kinetic energy dissipation at a step and a possibility of adding various drains, mass sources, friction. In the developed model, the space extent in each of two spatial X, Y directions makes up to 16,000 cells of a grid (the total of cells makes 256,000,000 which provides high specification in the area representation. At the same time, four neighboring areas from which water inflows or which make water return possible have each knot of a grid. All this allows one to suggest a mathematical model application for the calculation of water masses dynamics and the algorithms for effective placement and assessment of the suitability of a territorial water system for fire fighting equipment. Furthermore, it allows for the development of a complex of the programs and computing means providing a possibility to forecast flooding of the territories.
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