Abstract:
The dynamics of the truncated Euler equations with helical initial conditions are studied. Transient energy and helicity cascades leading to Kraichnan helical absolute equilibrium at small scales, including a linear scaling of the relative helicity spectrum are obtained. Strong helicity effects are found using initial data concentrated at high wave numbers. Using low-wave-number initial conditions, the results of Cichowlas [Phys. Rev. Lett. 95, 264502 (2005)] are extended to helical flows. Similarities between the turbulent transient evolution of the ideal (time-reversible) system and viscous helical flows are found. Using an argument in the manner of Frisch [Phys. Rev. Lett. 101, 144501 (2008)], the excess of relative helicity found at small scales in the viscous run is related to the thermalization of the ideal flow. The observed differences in the behavior of truncated Euler and (constant viscosity) Navier-Stokes are qualitatively understood using the concept of eddy viscosity. The large scales of truncated Euler equations are then shown to follow quantitatively an effective Navier-Stokes dynamics based on a variable (scale dependent) eddy viscosity. © 2009 The American Physical Society.
Registro:
Documento: |
Artículo
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Título: | Cascades, thermalization, and eddy viscosity in helical Galerkin truncated Euler flows |
Autor: | Krstulovic, G.; Mininni, P.D.; Brachet, M.E.; Pouquet, A. |
Filiación: | Laboratoire de Physique Statistique, Ecole Normale Supérieure, Universités Paris VI et VII, 24 Rue Lhomond, 75231 Paris, France Departamento de Física, Facultad de Ciencias Exactas y Naturales, Ciudad Universitaria, 1428 Buenos Aires, Argentina NCAR, P.O. Box 3000, Boulder, CO 80307-3000, United States
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Palabras clave: | Eddy viscosity; Euler flows; Galerkin; Helical flows; Helicity; Helicity cascades; High wave number; Ideal flow; Initial conditions; Linear scaling; Navier Stokes; Small scale; Thermalization; Transient energy; Transient evolution; Wave numbers; Dynamics; Euler equations; Viscosity; Navier Stokes equations |
Año: | 2009
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Volumen: | 79
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Número: | 5
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DOI: |
http://dx.doi.org/10.1103/PhysRevE.79.056304 |
Título revista: | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
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Título revista abreviado: | Phys. Rev. E Stat. Nonlinear Soft Matter Phys.
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ISSN: | 15393755
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CODEN: | PLEEE
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15393755_v79_n5_p_Krstulovic |
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Citas:
---------- APA ----------
Krstulovic, G., Mininni, P.D., Brachet, M.E. & Pouquet, A.
(2009)
. Cascades, thermalization, and eddy viscosity in helical Galerkin truncated Euler flows. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 79(5).
http://dx.doi.org/10.1103/PhysRevE.79.056304---------- CHICAGO ----------
Krstulovic, G., Mininni, P.D., Brachet, M.E., Pouquet, A.
"Cascades, thermalization, and eddy viscosity in helical Galerkin truncated Euler flows"
. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 79, no. 5
(2009).
http://dx.doi.org/10.1103/PhysRevE.79.056304---------- MLA ----------
Krstulovic, G., Mininni, P.D., Brachet, M.E., Pouquet, A.
"Cascades, thermalization, and eddy viscosity in helical Galerkin truncated Euler flows"
. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, vol. 79, no. 5, 2009.
http://dx.doi.org/10.1103/PhysRevE.79.056304---------- VANCOUVER ----------
Krstulovic, G., Mininni, P.D., Brachet, M.E., Pouquet, A. Cascades, thermalization, and eddy viscosity in helical Galerkin truncated Euler flows. Phys. Rev. E Stat. Nonlinear Soft Matter Phys. 2009;79(5).
http://dx.doi.org/10.1103/PhysRevE.79.056304