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Article information
2009 , Volume 14, ¹ 1, p.52-61
Gorelov D.N., Redreev D.G.
A Curvilinear panel method for singular integral equations with Cauchy kernel over a closed contour
A curvilinear panel method for solving the boundary problems of flows around a aerodynamical profile is developed. Specifics of the method is in making use of the asymptotical behaviour of the solution and the contour equation in the vicinity of the leading edge in the limiting case of an infinitely thin profile. The method ensures a uniform approximation of the presented solution to the exact solution at all points of the contour without refining of the grid.
[full text]
Keywords: singular integral equations, methods of solving of integral equations, panel method, profile
Author(s):
Gorelov Dmitrii Nikolaevich
Dr. , Professor
Position: General Scientist
Office: Omsk branch of Sobolev Instiute of Mathematics of SB RAS
Address: 644099, Russia, Omsk, Pevtcova str. 13
Phone Office: (3812) 23 67 39
E-mail: gorelov@ofim.oscsbras.ru
Redreev Denis Grigoryevich
Position: Research Scientist
Office: Omsk branch of Sobolev Instiute of Mathematics of SB RAS
Address: 644099, Russia, Omsk, Pevtcova str. 13
Phone Office: (3812) 23 67 39
E-mail: d.redreev@mail.ru
Bibliography link:
Gorelov D.N., Redreev D.G. A Curvilinear panel method for singular integral equations with Cauchy kernel over a closed contour // Computational technologies. 2009. V. 14. ¹ 1. P. 52-61
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