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Article information
2000 , Volume 5, ¹ 2, p.35-45
Zhitnikov V.P., Sherykhalina N.M.
Numerical and analytical methods for solution of problems of flow over obstructions under gravity fluid surface with soliton formation
The improved solution method for the problem of flow past point obstructions is suggested. This allows to solve more complex problems of flows past obstructions of limiting size. The singularities of the sought function are allowed for by adding terms containing fractional power functions. The results of numerical investigation of the problem of flow past an obstruction shaped as an ellipsoidal semicylinder and located on a channel bottom are shown. The solutions for different ellipsis semiaxes relations including limiting cases such as Stokes wave are obtained.
[full text] Classificator Msc2000:- *76B07 Free-surface potential flows
- 76B15 Water waves, gravity waves; dispersion and scattering, nonlinear interaction
- 76B25 Solitary waves
- 76M40 Complex-variables methods
Keywords: plane symmetric flow, free boundary, ideal incompressible fluid, Levi-Civita method, soliton, flow past dipole, numerical-analytical method, higher-order flow singularities, Joukowski function, conformal mapping, flow past ellipsoidal half-cylinder, collocation method
Author(s):
Zhitnikov Vladimir Pavlovich
Dr. , Professor
Position: Head of Chair
Office: Ufa State Aviation Technical University
Address: 450000, Russia, Ufa, K. Marx str., 12
Phone Office: (347)2737431
E-mail: zhitnik@ugatu.ac.ru
Sherykhalina Nataliya Mikhailovna
PhD. , Associate Professor
Position: Associate Professor
Office: Ufa State AviationTechnical University
Address: 450000, Russia, Ufa, K. Marx str. 12
Phone Office: (347)2733200
E-mail: n_sher@mail.ru
Bibliography link:
Zhitnikov V.P., Sherykhalina N.M. Numerical and analytical methods for solution of problems of flow over obstructions under gravity fluid surface with soliton formation // Computational technologies. 2000. V. 5. ¹ 2. P. 35-45
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