Abstract
The final and differential method with application of the fixed regular grids with constant steps is developed for modeling of a current of a layer of viscous liquid with free and moving firm surfaces, the analysis of orders of accuracy from net steps and to iterative parameter is carried out at application of the scheme of the second and first orders in the corresponding sizes. When modeling two-dimensional currents of viscous incompressible liquid preservation of orders of accuracy of the considered differential scheme and preservation of volumes of liquid is shown.
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