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Cybernetics And Systems Analysis
International Theoretical Science Journal
UDC 517.9; 519.642.7; 532.5
S.O. Dovgiy,1 S.I. Lyashko,2 D.I. Cherniy3

ALGORIHMS OF DISCRETE SINGULARITIES METHOD FOR COMPUTATIONAL TECHNOGOGIES

Abstract. Algorithms of computational technologies for hydrodynamic models that are representable as a system of discrete features are considered. The algorithms transform discrete integral representations with discontinuous functions and change the order of singularities in a system of discrete singularities. The transformations allow us to correctly calculate the values of the functions and their derivatives under the parametric dependence of the characteristic functions on time. The algorithms of computational technologies are applicable for both two-dimensional and three-dimensional hydrodynamic problems of non-stationary detached flow.

Keywords: discrete vortex method, discrete singularity method, computational technologies.



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1 Institute of Telecommunications and Global Information Space, National Academy of Sciences of Ukraine, Kyiv, Ukraine,
e-mail: pryjmalnya@gmail.com.

2 Taras Shevchenko National University of Kyiv, Kyiv, Ukraine,
e-mail: lyashko.serg@gmail.com.

3 Taras Shevchenko National University of Kyiv, Kyiv, Ukraine,
e-mail: Dmitro.Cherniy@gmail.com.

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