Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2004-12-10
Nonlinear Sciences
Chaotic Dynamics
17 pages, 2 figures, submitted to Physica D
Scientific paper
The inverse transfer in two-dimensional turbulence governed by the surface quasi-geostrophic (SQG) equation is studied. The nonlinear transfer of this system conserves the two quadratic quantities $\Psi_1=<|(-\Delta)^{1/4}\psi|^2>/2$ and $\Psi_2=<|(-\Delta)^{1/2}\psi|^2>/2$ (kinetic energy), where $\psi$ is the streamfunction and $<\cdot>$ denotes a spatial average. In the limit of infinite domain, the kinetic energy density $\Psi_2$ remains bounded. For power-law inverse-transfer region, the inverse flux of $\Psi_1$ diminishes as it proceeds toward sufficiently low wavenumbers, implying that no persistent inverse cascade of $\Psi_1$ is sustainable. The unrealizability of an inverse cascade of $\Psi_1$ implies that there is no direct cascade of $\Psi_2$. Hence, the dual-cascade picture which is widely believed to be realizable in two-dimensional Navier--Stokes turbulence does not apply to SQG turbulence. Numerical results supporting the theoretical predictions are presented.
No associations
LandOfFree
Diminishing inverse transfer and non-cascading dynamics in surface quasi-geostrophic turbulence does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Diminishing inverse transfer and non-cascading dynamics in surface quasi-geostrophic turbulence, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Diminishing inverse transfer and non-cascading dynamics in surface quasi-geostrophic turbulence will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-452292