Author(s): V. A. Prokofyev
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Keywords: No Keywords
Abstract: There are presented two numerical algorithms: 2D and 3D ones to calculate flow dynamics, heat transmission and ice cover formation. Both algorithms are conservative and use the finite volume method for discretization. The first of them (2D) is made on the Saint-Venant equations system added by the heat transmission equation averaged by depth. The vertical temperature profile is approximated by the polynomial of the 2-nd degree that allows to determine more precisely heat fluxes on the bottom and on the free surface. The model takes into account the possibility of forming the ice cover on the water surface and the presence of snow on the ice cover. The numerical algorithm is made on the base of the Hancock/MUSCL explicit scheme of the second order of the precision by space and time and can be used for the calculation process in the presence of island and changes of the coast line. The second algorithm (3D) is made on threedimensional system of hydro-dynamics and heat transmission equations. It envisages to set up a boundary condition like “cap” on the free surface. In this algorithm the unknowns are approximated by the flow depth using sine- and cosine-Fourier series, and the decision of discrete analogues is obtained on the base of the semi-implicit method SIMPLER. Leonard scheme is used to obtain the second order by plane coordinates.
Year: 2004