Abstract
Two-dimensional turbulence admits two different ranges of scales: a direct enstrophy cascade from the injection scale to the small scales and an inverse energy cascade at large scales. It has already been shown in previous papers that vortical structures are responsible for the transfers of energy upscale while filamentary structures are responsible for the forward transfer of the enstrophy. Here we introduce an original wavelet-based new mathematical tool, the interaction function, for studying the space localization of the enstrophy fluxes. It is based on twodimensional orthogonal wavelet decompositions of the two terms involved in the transport term in the Navier-Stokes equations.
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References
Bruneau, C.H., Fischer, P.: Influence of the filtering tools on the analysis of two-dimensional turbulent flows. Computers and Fluids (2008), doi:10.1016/j.comp?uid.2008.01.035
Bruneau, C.H., Fischer, P., Kellay, H.: The structures responsible for the inverse energy and the forward enstrophy cascades in two-dimensional turbulence. Europhys. Lett. 78 (2007), doi:10.1209/02955075/78/34,002
Bruneau, C.H., Kellay, H.: Coexistence of two inertial ranges in two-dimensional turbulence. Phys. Rev. E 71, 046, 305 (2005)
Chen, S., Ecke, R.E., Eyink, G.R., Wang, X., Xiao, Z.: Physical mechanism of the two- dimensional enstrophy cascade. Phys. Rev. Lett. 91, 214, 501 (2003)
Farge, M.: Wavelets and turbulence (1988-2008), http://wavelets.ens.fr/
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Fischer, P., Bruneau, CH. (2009). Enstrophy Transfers Study in Two-Dimensional Turbulence. In: Peinke, J., Oberlack, M., Talamelli, A. (eds) Progress in Turbulence III. Springer Proceedings in Physics, vol 131. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02225-8_9
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DOI: https://doi.org/10.1007/978-3-642-02225-8_9
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-02224-1
Online ISBN: 978-3-642-02225-8
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