The proposed algorithms, based on boundary element and discrete vortices method combination, can successfully compete with other numerical methods for external incompressible fluid flow calculations. Moreover, since the proposed algorithms are based on representation of singularities, they are more convenient for physical singularity modelling than other numerical methods. The proposed algorithm cannot improve the full viscous flow calculations, but it can be useful as a first approximation. The consideration of physical singularities, which was used in alternative vorticity distribution analysis in the present work, can be considered only as a first approximation too, because convective terms were not taken into account. The proposed algorithm has better accuracy than the discrete vortices method, and is more convenient for vortical flow calculation than the traditional boundary element method. The analysis in the present work was restricted to the simplest examples, but it is enough to prove the algorithm effectiveness.
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