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Calculation of the flows of a viscous incompressible liquid with a free surface on two-dimensional Lagrangian nets.(English. Russian original)Zbl 0702.76035

U.S.S.R. Comput. Math. Math. Phys.28, No. 6, 81-87 (1988); translation from Zh. Vychisl. Mat. Mat. Fiz. 28, No. 11, 1719-1729 (1988).
Summary: The causes of the nonphysical distortions of Lagrangian computational nets when modelling the flows of an incompressible viscous liquid with a free surface are investigated. A comparative analysis of a number of difference schemes for calculating planar flows is carried out. The problem of realizing the boundary conditions on the free surface is discussed and it is shown that failure to take account of the potential nature of external mass forces leads to serious distortions of the Lagrangian cells. Examples of numerical calculations are presented.

MSC:

76D05 Navier-Stokes equations for incompressible viscous fluids
76M25 Other numerical methods (fluid mechanics) (MSC2010)

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