Astronomy and Astrophysics – Astrophysics
Scientific paper
Dec 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992phfl....4.2833v&link_type=abstract
Physics of Fluids A (ISSN 0899-8213), vol. 4, no. 12, p. 2833-2844.
Astronomy and Astrophysics
Astrophysics
1
Fourier Transformation, Hydrodynamic Equations, Turbulent Flow, Two Dimensional Models, Wave Propagation, Astrophysics, Energy Transfer, Navier-Stokes Equation, Wave Equations
Scientific paper
In order to examine the possible utility of studying turbulent astrophysical flows as dynamical systems, solutions to the incompressible 2D Navier-Stokes equation in Fourier space are investigated by employing a small subset of Fourier modes that span a range of nearly 3000:1 in size and that preserve the triadic nature of the nonlinear interactions. These solutions thus preserve the energy and enstrophy conservation properties of the full solutions. The statistical similarity of the reduced solutions to the full solutions is tested by comparing their respective energy spectra in the energy and enstrophy inertial ranges, as well as the energy and enstrophy cascade directions. The effect and importance of the forcing on the outcome of the calculations are discussed, namely, the slope of the energy spectrum and the duration of the net energy and enstrophy transfer.
Scalo John M.
Vázquez-Semadeni Enrique
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