Invariant Manifolds in Parametric turbulent Models
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| Authors: | , |
|---|---|
| Format: | artículo original |
| Status: | Versión publicada |
| Publication Date: | 2004 |
| Description: | The article is devoted to examining the so-called local-equilibrium approximations used while modeling turbulent flows. The dynamics of a far plane turbulent wake are investigated as an example. In this article, we analyze these approximations by using the method of differential constraints. We show that some algebraic models based on using the local-equilibrium approximation can be interpreted as equations of invariant manifolds generated by the models under consideration. Reduction of the models on the corresponding invariant manifolds made it possible to find self similar solutions and to separate explicit solutions. Moreover, some empirical constants may be calculated and their obtained values are close to the recommended quantities. |
| Country: | Portal de Revistas UCR |
| Institution: | Universidad de Costa Rica |
| Repositorio: | Portal de Revistas UCR |
| Language: | Español |
| OAI Identifier: | oai:portal.ucr.ac.cr:article/240 |
| Online Access: | https://revistas.ucr.ac.cr/index.php/matematica/article/view/240 |
| Keyword: | local-equilibrium approximation turbulent wake method of differential constrains invariant manifold self-similar solutions aproximación de equilibrio local estela turbulenta método de restricciones diferenciales variedades invariantes soluciones auto-similares |