LOW-­ORDER DYNAMICAL MODELS FOR VORTICAL FLOWS OF INVISCID FLUID IN SQUARE AREA

Cite this article as:

Petrovskaya 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: https://doi.org/10.18500/0869-6632-2009-17-6-159-172

The Galerkin method together with the method of small parameter is applied for study of Routh­like equations describing the dynamics of two­dimensional inviscid incom­pressible fluid flows. A set of simple models for some vortical flows of such fluid in rectangular area has been derived and analysed.

Authors: 
Petrovskaya N. V., Southern Federal University, ul. Bol`shaya Sadovaya 105/42, Rostov-on-Don, 344006, Russia , petr@math.rsu.ru
Key words: 
Inviscid incompressible fluid, 2D vortical flows, Routh­like equations, Galerkin method.
DOI: 
10.18500/0869-6632-2009-17-6-159-172
Literature

1. В.И. Юдович. Косимметрия и консервативные системы II. Ростовский государственный университет. Ростов-на-Дону, 2000. 24 с. Деп. в ВИНИТИ 06.09.00, No 2772-В00.

2. Yudovich V.I. Topics in an ideal fluid dynamics // Journal of Mathematical Fluid Mechanics. 2005. Vol. 7, Suppl. 3. P. S299.

3. Гледзер Е.Б., Должанский Ф.В., Обухов А.М. Системы гидродинамического типа и их применение. М.: Наука, 1981.

4. Segre E., Kida S. Late states of incompressible 2D decaying vorticity fields // Fluid Dynamics Research. 1998. Vol. 23. P. 89.

Heading: 
Methodical Papers on Nonlinear Dynamics
Status: 
одобрено к публикации
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BibTeX

@article{Петровская-IzvVUZ_AND-17-6-159,
author = {N. V. Petrovskaya},
title = {LOW-­ORDER DYNAMICAL MODELS FOR VORTICAL FLOWS OF INVISCID FLUID IN SQUARE AREA},
year = {2009},
journal = {Izvestiya VUZ. Applied Nonlinear Dynamics},
volume = {17},number = {6},
url = {https://old-andjournal.sgu.ru/en/articles/low-order-dynamical-models-for-vortical-flows-of-inviscid-fluid-in-square-area},
address = {Саратов},
language = {russian},
doi = {10.18500/0869-6632-2009-17-6-159-172},pages = {159--172},issn = {0869-6632},
keywords = {Inviscid incompressible fluid,2D vortical flows,Routh­like equations,Galerkin method.},
abstract = {The Galerkin method together with the method of small parameter is applied for study of Routh­like equations describing the dynamics of two­dimensional inviscid incom­pressible fluid flows. A set of simple models for some vortical flows of such fluid in rectangular area has been derived and analysed. }}