Abstract
A technique of wavenumber partitioning that conserves both energy and enstrophy is developed for two-dimensional statistical closures. This advance facilitates the computation of energy spectra over seven wavenumber decades, a task that will clearly remain outside the realm of conventional numerical simulations for the foreseeable future. Within the context of the test-field model, the method is used to demonstrate Kraichnan's logarithmically-corrected scaling for the enstrophy inertial range and to make a quantitative assessment of the effect of replacing the physical Laplacian viscosity with an enhanced hyperviscosity.
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Bowman, J.C. A wavenumber partitioning scheme for two-dimensional statistical closures. J Sci Comput 11, 343–372 (1996). https://doi.org/10.1007/BF02088952
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DOI: https://doi.org/10.1007/BF02088952