Augier, P., Mohanan A.V. & Lindborg, E. Wave energy cascade in forced-dissipative one-layer shallow-water flows. J. Fluid Mech. (to be submitted).
Lindborg, E. & Mohanan, A. V. A two-dimensional toy model for geophysical turbulence. Phys. Fluids (2017).
Article [2] selected as featured research by AIP (Nov 22, 2017)
Gage (1979) & Lilly (1983): inverse energy cascade as in Kraichnan (1967)
Dewan (1979):downscale energy cascade as in Kolmogorov (1941)
Vertical resolution?
Explain many geophysical phenomena, including waves
Conserves potential vorticity and enstrophy.
Helmholtz decompostion:
with $\Psi$ and $\chi$ being the stream function and the velocity potential respectively.
where, $\theta = c\eta$
Pros: No shocks, KE and APE are quadratic and conserved, linearised potential vorticity conserved in the limit $Ro \rightarrow 0$: $q = \zeta - f\eta$
Cons: Full potential vorticity $Q$ is not exactly conserved