 | | Journal of Applied
Mathematics and Mechanics
Russian Academy of Sciences | | Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
(print version) |
Archive of Issues
| Total articles in the database: | | 10482 |
| In Russian (ΟΜΜ): | | 9683
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| In English (J. Appl. Math. Mech.): | | 799 |
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| D.Ye. Pivovarov, "The solution of problems of the stability of three-dimensional convective flows in a closed rectangular cavity by the collocation method," J. Appl. Math. Mech. 78 (2), 137-143 (2014) |
| Year |
2014 |
Volume |
78 |
Issue |
2 |
Pages |
137-143 |
| Title |
The solution of problems of the stability of three-dimensional convective flows in a closed rectangular cavity by the collocation method |
| Author(s) |
D.Ye. Pivovarov (Moscow, Russia, pivovar@ipmnet.ru) |
| Abstract |
The use of the collocation method, with collocation points at the zeroes of a Chebyshev polynomial, to solve spatial problems of the stability of convective flows, is described. The fluid occupies a closed rectangular cavity on the boundaries of which conditions of the first, second and third kind can be specified. Using a differential matrix constructed at the collocation points, the spectral problem is transformed into an extended eigenvector problem that is solved numerically. The Rayleigh problem in a closed layer is solved for different values of the ratio of the sides of the rectangular cavity. The calculations presented are compared with the results of the solution of non-linear equations and also with the experimental and theoretical data of other authors. |
| Received |
11 April 2013 |
| Link to Fulltext |
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