Artículo
Abstract:
We investigate the relaxation of a strongly turbulent fluid to metastable states, in times much shorter than the dissipation time scale. Several simulations of decaying two-dimensional Navier-Stokes flows were performed, which show the relaxation to organized states dominated by coherent vortex structures of length scales comparable to the size of the system. In the case of periodic boundary conditions, the organized state is characterized by a strong correlation between vorticity and stream function, the second of which satisfies a sinh-Poisson equation quite accurately. However, in the case of free-slip boundary conditions the relaxed state does not display any significant correlation between its vorticity and its stream function. Notwithstanding, in both cases the role of nonlinearities is found to be essential even at these late stages of the evolution. However, we show that even severe truncations of a few (short wave number) nonlinearly coupled Fourier modes provide an accurate description of the long-term dynamics of the fluid. Therefore the dynamics of the flow in these metastable states is somewhere in between a strong turbulent regime and a (mostly linear) dissipative relaxation stage. © 1996 The American Physical Society.
Registro:
| Documento: | Artículo |
| Título: | Asymptotic states of decaying turbulence in two-dimensional incompressible flows |
| Autor: | Dmitruk, P.; Gómez, D.; Costa, A.; Dawson, S.P. |
| Filiación: | Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires Ciudad Universitaria, Pabellón I, Buenos Aires, 1428, Argentina Instituto de Astronomía y Física del Espacio (IAFE), Casilla de Correo 67–Sucursal 28, Buenos Aires, 1428, Argentina |
| Año: | 1996 |
| Volumen: | 54 |
| Número: | 3 |
| Página de inicio: | 2555 |
| Página de fin: | 2563 |
| DOI: | http://dx.doi.org/10.1103/PhysRevE.54.2555 |
| Título revista: | Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics |
| Título revista abreviado: | Phys Rev E. |
| ISSN: | 1063651X |
| PDF: | https://bibliotecadigital.exactas.uba.ar/download/paper/paper_1063651X_v54_n3_p2555_Dmitruk.pdf |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_1063651X_v54_n3_p2555_Dmitruk |
Referencias:
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Citas:
---------- APA ----------
Dmitruk, P., Gómez, D., Costa, A. & Dawson, S.P. (1996) . Asymptotic states of decaying turbulence in two-dimensional incompressible flows. Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 54(3), 2555-2563.http://dx.doi.org/10.1103/PhysRevE.54.2555
---------- CHICAGO ----------
Dmitruk, P., Gómez, D., Costa, A., Dawson, S.P. "Asymptotic states of decaying turbulence in two-dimensional incompressible flows" . Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics 54, no. 3 (1996) : 2555-2563.http://dx.doi.org/10.1103/PhysRevE.54.2555
---------- MLA ----------
Dmitruk, P., Gómez, D., Costa, A., Dawson, S.P. "Asymptotic states of decaying turbulence in two-dimensional incompressible flows" . Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, vol. 54, no. 3, 1996, pp. 2555-2563.http://dx.doi.org/10.1103/PhysRevE.54.2555
---------- VANCOUVER ----------
Dmitruk, P., Gómez, D., Costa, A., Dawson, S.P. Asymptotic states of decaying turbulence in two-dimensional incompressible flows. Phys Rev E. 1996;54(3):2555-2563.http://dx.doi.org/10.1103/PhysRevE.54.2555
