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Inverse energy cascade in nonlocal helical shellmodels of turbulence
- Source :
- Phys. Rev. E 92, 043021 (2015)
- Publication Year :
- 2015
-
Abstract
- Following the exact decomposition in eigenstates of helicity for the Navier-Stokes equations in Fourier space [F. Waleffe, Phys. Fluids A 4, 350 (1992)] we introduce a modified version of helical shell models for turbulence with non-local triadic interactions. By using both an analytical argument and numerical simulation, we show that there exists a class of models, with a specific helical structure, that exhibits a statistically stable inverse energy cascade, in close analogy with that predicted for the Navier-Stokes equations restricted to the same helical interactions. We further support the idea that turbulent energy transfer is the result of a strong entanglement among triads possessing different transfer properties.
- Subjects :
- Physics - Fluid Dynamics
Subjects
Details
- Database :
- arXiv
- Journal :
- Phys. Rev. E 92, 043021 (2015)
- Publication Type :
- Report
- Accession number :
- edsarx.1508.06390
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1103/PhysRevE.92.043021