Article information

1999 , Volume 4, ¹ 5, p.24-29

Gorelov D.N., Smolin Y.S.

A system of integral equations applied to the solution of two-dimensional problems of the wing theory

A system of two integral equations is suggested for the intensities of the vortex layers on the upper and lower sides of the airfoil making it possible to solve two-dimensional problems of stationary and non-stationary flow past the body allowing for the potential hydrodynamic interaction between the airfoil and other bodies and the flow boundaries. The efficiency of this system of equations if applied instead of the input singular equations of the first and second kind has been estimated.

[full text] Classificator Msc2000:
*65R20 Integral equations
76B10 Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing
76M25 Other numerical methods

Keywords: incompressible fluid, two-dimensional potential flow, airfoil, singular integral equation, panel method

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

Smolin Yu S
Address: 644099, Russia, Omsk, Pevtcova str. 13
Phone Office: (3812)236739
E-mail: smolin@iitam.omsk.net.ru


Bibliography link:
Gorelov D.N., Smolin Y.S. A system of integral equations applied to the solution of two-dimensional problems of the wing theory // Computational technologies. 1999. V. 4. ¹ 5. P. 24-29
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