For citation:
Petrovskaja N. V. Low-order dynamical models for vortical flows of inviscid fluid in square area. Izvestiya VUZ. Applied Nonlinear Dynamics, 2009, vol. 17, iss. 6, pp. 159-172. DOI: 10.18500/0869-6632-2009-17-6-159-172
This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
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Language:
Russian
Article type:
Article
UDC:
532.5.031
Low-order dynamical models for vortical flows of inviscid fluid in square area
Autors:
Petrovskaja Natalja Vladimirovna, Southern Federal University
Abstract:
The Galerkin method together with the method of small parameter is applied for study of Routh-like equations describing the dynamics of two-dimensional inviscid incompressible fluid flows. A set of simple models for some vortical flows of such fluid in rectangular area has been derived and analysed.
Reference:
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- Yudovich VI. Topics in an ideal fluid dynamics. Journal of Mathematical Fluid Mechanics. 2005;7(3):S299–S325. DOI: 10.1007/s00021-005-0161-y.
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- Segre E, Kida S. Late states of incompressible 2D decaying vorticity fields. Fluid Dynamics Research. 1999;23:89–112. DOI: 10.1016/S0169-5983(97)00050-6.
Received:
18.09.2008
Accepted:
25.06.2009
Published:
31.12.2009
Journal issue:
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