Geodesic
Influence of waves on Lagrangian acceleration in two-dimensional turbulent flows
Romain Nguyen van yen1 ; Benjamin Kadoch2 ; Vivek Kumar1 ; Benjamin Ménétrier1 ; Marie Farge1 ; Kai Schneider2 ; Diane Douady3 ; Lionel Guez1
1 LMD–CNRS, ENS, 24 rue Lhomond, 75231 Paris Cedex, France
2 M2P2–CNRS & CMI Universités d’Aix–Marseille, France
3 Département de Mathématiques, Université de Cergy, France
ESAIM. Proceedings, Tome 32 (2011), pp. 231-241.

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The Lagrangian statistics in rotating Saint-Venant turbulence are studied by means of direct numerical simulation using a pseudo-spectral discretization fully resolving, both in time and space, all the inertio-gravity waves present in the system. To understand the influence of waves, three initial conditions are considered, one which is dominated by waves, one which is dominated by vortices, and one which is intermediate between these two extreme cases. It is found that Lagrangian acceleration is strongly influenced by the presence of waves, as are the Lagrangian velocity increments, for incremements that are sufficiently short, and that vortex motion influences mostly the component of Lagrangian acceleration which is perpendicular to the local velocity.
DOI : 10.1051/proc/2011023

Romain Nguyen van yen 1 ; Benjamin Kadoch 2 ; Vivek Kumar 1 ; Benjamin Ménétrier 1 ; Marie Farge 1 ; Kai Schneider 2 ; Diane Douady 3 ; Lionel Guez 1

1 LMD–CNRS, ENS, 24 rue Lhomond, 75231 Paris Cedex, France
2 M2P2–CNRS & CMI Universités d’Aix–Marseille, France
3 Département de Mathématiques, Université de Cergy, France 
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     title = {Influence of waves on {Lagrangian} acceleration in two-dimensional turbulent flows},
     journal = {ESAIM. Proceedings},
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     volume = {32},
     year = {2011},
     doi = {10.1051/proc/2011023},
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     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/2011023/}
}
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Romain Nguyen van yen; Benjamin Kadoch; Vivek Kumar; Benjamin Ménétrier; Marie Farge; Kai Schneider; Diane Douady; Lionel Guez. Influence of waves on Lagrangian acceleration in two-dimensional turbulent flows. ESAIM. Proceedings, Tome 32 (2011), pp. 231-241. doi : 10.1051/proc/2011023. http://geodesic.mathdoc.fr/articles/10.1051/proc/2011023/

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