Correlations of vorticity inside a coherent vortex

Autor: Kolokolov, Igor V., Lebedev, Vladimir V., Tumakova, Mariya M.
Rok vydání: 2024
Předmět:
Zdroj: JETP 136 (2023) 785
Druh dokumentu: Working Paper
DOI: 10.1134/S1063776123060122
Popis: We examine fluctuations of vorticity inside the coherent vortex, appearing as a consequence of the inverse energy cascade in two-dimensional turbulence. Temporal and spacial correlations can be characterized by the pair correlation function. The interaction between the fluctuations leads to non-zero value of the third moment of vorticity. We examine the pair correlation function and the third moment for the model where the pumping is short correlated in time. We find explicit expressions for the Gaussian spacial correlation function of the pumping force. They confirm the general predictions obtained earlier.
Databáze: arXiv
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