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Numerical methods and programming, 2018, Volume 19, Issue 3, Pages 207–214
(Mi vmp912)
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Deformation of cylindrical cavities in plane-parallel potential flows with circulation and under the action of mass forces
N. D. Baikova, A. G. Petrovb a Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
b Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, Moscow
Abstract:
The problems of cumulative jet formation in plane-parallel potential flows of a perfect incompressible fluid within cylindrical cavities are considered. A new numerical algorithm is proposed on the basis of the boundary element method. The approximation is based on quadrature formulas without saturation. The novelty of this paper is to study the potential flows with nonzero circulation and to derive an analog of the momentum conservation law for such flows. The process of the cavity rise in a heavy fluid is also studied.
Keywords:
cumulative jets, plane-parallel flow, boundary element method, quadrature formulas without saturation, circulation.
Received: 08.04.2018
Citation:
N. D. Baikov, A. G. Petrov, “Deformation of cylindrical cavities in plane-parallel potential flows with circulation and under the action of mass forces”, Num. Meth. Prog., 19:3 (2018), 207–214
Linking options:
https://www.mathnet.ru/eng/vmp912 https://www.mathnet.ru/eng/vmp/v19/i3/p207
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Statistics & downloads: |
Abstract page: | 120 | Full-text PDF : | 43 |
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