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Article information
1998 , Volume 3, ¹ 6, p.21-29
Gorlov S.I.
Non-linear problem of the waves arising on the interface of fluids at simultaneous accelerating and oscillatory motions of a circular cylinder
Method for the solution of non-linear non-stationary problems of the circular cylinder motion near the interface of two heavy fluids is developed and numerically realized. The initial boundary value problem is reduced to a system of singular integral equations concerning singularities simulating the liquid and rigid boundaries and a function describing the shape of the fluids interface. The problem of vertical and horizontal oscillations of the circular cylinder accelerating from rest under a free surface of heavy fluid is investigated in detail. The calculation results of the generated wave structures as well as of the disrtibuted and total hydrodynamic characteristics of the outline are shown. The purely oscillatory motions are also considered. For some cases the obtained results are compared with the linear theory.
[full text] Classificator Msc2000:- *76B15 Water waves, gravity waves; dispersion and scattering, nonlinear interaction
Keywords: ideal incompressible fluid, waves on the interface of two fluids, nonlinear nonstationary wave, wave generated by contour motion
Author(s):
Gorlov Sergei Ivanovich
Position: Senior Research Scientist
Address: 644073, Russia, Omsk
Phone Office: (3812) 15-35-09
E-mail: gorlov@iitam.omsk.net.ru
Bibliography link:
Gorlov S.I. Non-linear problem of the waves arising on the interface of fluids at simultaneous accelerating and oscillatory motions of a circular cylinder // Computational technologies. 1998. V. 3. ¹ 6. P. 21-29
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