| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 758437 | Communications in Nonlinear Science and Numerical Simulation | 2013 | 6 Pages |
Spectral reduction was originally formulated entirely in the wavenumber domain as a coarse-grained wavenumber convolution in which bins of modes interact with enhanced coupling coefficients. A Liouville theorem leads to inviscid equipartition solutions when each bin contains the same number of modes. A pseudospectral implementation of spectral reduction which enjoys the efficiency of the fast Fourier transform is described. The model compares well with full pseudospectral simulations of the two-dimensional forced-dissipative energy and enstrophy cascades.
► Mode-reduction procedure for incompressible turbulence. ► Decimation via spectral reduction implemented with pseudospectral collocation. ► Coarse graining fast Fourier transform-based convolutions, with application to turbulent statistics.
