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    Energy and enstrophy spectra and fluxes for the inertial-dissipation range of two-dimensional turbulence

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    Type
    Article
    Authors
    Gupta, Akanksha
    Jayaram, Rohith
    Chaterjee, Anando G.
    Sadhukhan, Shubhadeep
    Samtaney, Ravi cc
    Verma, Mahendra K. cc
    KAUST Department
    Fluid and Plasma Simulation Group (FPS)
    Mechanical Engineering Program
    Physical Science and Engineering (PSE) Division
    Date
    2019-11-04
    Permanent link to this record
    http://hdl.handle.net/10754/660439
    
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    Abstract
    In this paper, using Pao's conjecture [Y.-H. Pao, Phys. Fluids 8, 1063 (1965)10.1063/1.1761356], we derive expressions for the spectra and fluxes of kinetic energy and enstrophy for two-dimensional (2D) forced turbulence that extend beyond the inertial range. In these expressions, the fluxes and the spectra contain additional factors of the exponential form. To validate these model predictions, we perform numerical simulations of 2D turbulence with external force applied at wavenumber band (kf,kf+1) in the intermediate range. The numerical results match with the model predictions, except for the energy and enstrophy fluxes for k<kf, where the fluxes exhibit significant fluctuations. We show that these fluctuations arise due to the unsteady nature of the flow at small wavenumbers. For k<kf, the shell-To-shell energy transfers computed using numerical data show forward energy transfers among the neighboring shells, but backward energy transfers among other shells.
    Citation
    Gupta, A., Jayaram, R., Chaterjee, A. G., Sadhukhan, S., Samtaney, R., & Verma, M. K. (2019). Energy and enstrophy spectra and fluxes for the inertial-dissipation range of two-dimensional turbulence. Physical Review E, 100(5). doi:10.1103/physreve.100.053101
    Sponsors
    We thank Manohar Sharma for useful discussions and Shaswant Bhattacharya for comments on the manuscript. Our numerical simulations were performed on Shaheen II at the Kaust supercomputing laboratory, Saudi Arabia, under the project k1052. This work was supported by Research Grant No. PLANEX/PHY/2015239 from the Indian Space Research Organisation, India; by the Indo-Russian project INT/RUS/RSF/P-03 from the Department of Science and Technology, India; and by the IITK institute postdoctoral fellowship to A.G.
    Publisher
    American Physical Society (APS)
    Journal
    Physical Review E
    DOI
    10.1103/PhysRevE.100.053101
    arXiv
    1902.03572
    Additional Links
    https://link.aps.org/doi/10.1103/PhysRevE.100.053101
    ae974a485f413a2113503eed53cd6c53
    10.1103/PhysRevE.100.053101
    Scopus Count
    Collections
    Articles; Physical Science and Engineering (PSE) Division; Mechanical Engineering Program

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