Recent developments in applied mathematics and mechanics: theory, experiment and practice. Devoted to the 80th anniversary of academician N.N.Yanenko

Akademgorodok, Novosibirsk, Russia, June 24 - 29, 2001

Abstracts

Novosibirsk participants

The numerical simulation of flows and ice-thermal conditions in the reservoir with significant water level oscillations.

Kvon D.V., Kvon V.I.

Novosibirsk Branch of the Institute for Water and Environmental Problems of the Siberian Branch of Russian Academy of Sciences (Novosibirsk)

Flows, heat transport processes and ice forming processes in the reservoir of hydro-electric power station in the annual cycle are studied. The 2D longitudinal-vertical unsteady mathematical model is used for it’s description. This model contains the equations for momentums in the hydrostatic approximation, the equations for heat transport in reservoir and for heat balance in ice cover. Eddy viscosity and eddy diffusivity factors are determined basing on the model of turbulence. 2D longitudinal vertical area of problem solution is changed significantly by the time because of the water level oscillations in reservoir. Thus the algorithm of numerical solution of the problem at the adaptive grid, where the number of points is changing both in horizontal and in vertical direction in the process of simulation. The algorithm of this intermediate finite differences grid building is designed regarding the fluid mechanics conservation laws. The results of algorithm testing and of the simulation for projected Krapivino hydro-electric power station at river Tom. The studies were partially supported by the Russian Foundation for Basic Research (Grants No.99-01-00547 and 98-01-03694).

Full Text in Russian: PDF (337 kb)
Note. Abstracts are published in author's edition

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