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JOURNALS // Matematicheskoe modelirovanie // Archive

Mat. Model., 2010 Volume 22, Number 6, Pages 27–37 (Mi mm2983)

This article is cited in 5 papers

Modeling of filtration currents under hydraulic engineering constructions

E. N. Bereslavskiy, L. A. Aleksandrova, E. V. Pesterev

Saint-Petersburg State University of Civil Aviation

Abstract: Within the framework of two-dimensional stationary filtering in uniform soil of the incondensable liquid under the law Darsi are researched some filtration currents under hydrotechnical building and under groove Zhukovskogo. The decision corresponding multivariable mixed marginal problems to theories analytical functions is realized by means of method conformal mappings of the areas of the special type. The results numerical calculations are presented and detailed hydrodynamic analysis of the influence defining physical parameter of the models on picture of the currents is given.

Keywords: filtering, groundwater, flow, dam, groove, velocity hodograph, conformal mappings.

UDC: 532.546

Received: 02.07.2009



© Steklov Math. Inst. of RAS, 2026