A.A.Gourjii, D.I.Cherniy
Adapted discrete singularity method to the advection problem of passive impurities by sea flows

Applied hydromechanics, Vol. 11 (83) ¹ 2, (2009) p.30-39
The problem of an advection of passive impurity by sea flows in regions with complex geometry in approaching of an ideal incompressible fluid is considered. The problem is solved by numerical method an adapted to the two-dimensional problems based on the discrete singularity method. Placing of the system of point vortices on the fixed distance from the coastline allows substantially improve the satisfaction of the boundary condition. The optimal displacement of vortices from the border is defined from the condition of minimum of conditionality number of a linear algebraic system of equations formed for the determination of vortex intensities. The numeral model allows to take into account the process of forming of vortex structures flow around ledges of coastline. The advection of passive impurity is analysed on the example of numerical solution of the problem of the two-dimensional fluid flow in a channel, which contains an island. It is shown that the intensity of the advection process substantially increases for geometry, which has the island and sharp edges of the coastline.
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TEXT LANGUAGE: Russian