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Energy and enstrophy fluxes in the double cascade of two-dimensional turbulence. (English) Zbl 1141.76401
Summary: High-resolution direct numerical simulations of two-dimensional turbulence in stationary conditions are presented. The development of an energy-enstrophy double cascade is investigated and its statistics found to be compatible with the classical Kraichnan theory in the limit of extended inertial ranges. The analysis of the joint distribution of energy and enstrophy fluxes in physical space reveals a small value of cross-correlation. This result supports many experimental and numerical studies where only one cascade is generated.

MSC:
76F25 Turbulent transport, mixing
76F65 Direct numerical and large eddy simulation of turbulence
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[1] Pasquero, Phys. Rev. 65 pp 056305– (2002)
[2] DOI: 10.1103/PhysRevLett.81.2244 · doi:10.1103/PhysRevLett.81.2244
[3] DOI: 10.1103/PhysRevLett.84.5134 · doi:10.1103/PhysRevLett.84.5134
[4] DOI: 10.1063/1.870379 · Zbl 1149.76458 · doi:10.1063/1.870379
[5] DOI: 10.1209/0295-5075/5/1/007 · doi:10.1209/0295-5075/5/1/007
[6] DOI: 10.1063/1.864870 · Zbl 0546.76082 · doi:10.1063/1.864870
[7] DOI: 10.1088/0034-4885/43/5/001 · doi:10.1088/0034-4885/43/5/001
[8] DOI: 10.1103/PhysRevLett.91.214501 · doi:10.1103/PhysRevLett.91.214501
[9] DOI: 10.1017/S0022112071001216 · Zbl 0224.76053 · doi:10.1017/S0022112071001216
[10] DOI: 10.1103/PhysRevLett.96.084502 · doi:10.1103/PhysRevLett.96.084502
[11] DOI: 10.1063/1.1762301 · doi:10.1063/1.1762301
[12] Bruneau, Phys. Rev. 71 pp 046305– (2005)
[13] DOI: 10.1103/PhysRevLett.74.3975 · doi:10.1103/PhysRevLett.74.3975
[14] DOI: 10.1103/PhysRevLett.72.1475 · doi:10.1103/PhysRevLett.72.1475
[15] Gotoh, Phys. Rev. 57 pp 2984– (1998)
[16] DOI: 10.1103/PhysRevLett.71.3967 · doi:10.1103/PhysRevLett.71.3967
[17] Boffetta, Phys. Rev. 61 pp R29– (2000)
[18] Boffetta, Phys. Rev. 66 pp 026304– (2002)
[19] DOI: 10.1038/nphys217 · doi:10.1038/nphys217
[20] DOI: 10.1016/S0370-1573(01)00064-3 · Zbl 1001.76041 · doi:10.1016/S0370-1573(01)00064-3
[21] DOI: 10.1103/PhysRevLett.71.352 · doi:10.1103/PhysRevLett.71.352
[22] DOI: 10.1063/1.863225 · doi:10.1063/1.863225
[23] DOI: 10.1103/PhysRevLett.79.4162 · doi:10.1103/PhysRevLett.79.4162
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