@article{oai:nagoya.repo.nii.ac.jp:00005477,
 author = {Ishihara, Takashi and Kaneda, Yukio},
 issue = {8},
 journal = {Physics of Fluids},
 month = {Aug},
 note = {Nonlinear interactions between waves and turbulence cause systematic frequency shifts in Rossby waves. The frequency shifts in the inertial subranges of statistically steady β-plane turbulence were examined theoretically and numerically. The theoretical analysis is based on the Lagrangian closure called the Lagrangian renormalized approximation and predicts that when the β effect is small, the frequency shifts of Rossby waves are proportional to k_x /k^{4/3} in the inverse energy transfer range, while they are proportional to k_x with or without a log-correction term in the enstrophy transfer range, depending on the flow conditions, where k_x is the wave number in the eastward direction. Numerical simulations using 1024^2 grid points of forced β-plane turbulence that exhibit the inertial subranges, show fairly good agreement with theoretical predictions.},
 pages = {2338--2349},
 title = {Frequency shifts of Rossby waves in the inertial subranges of β-plane turbulence},
 volume = {13},
 year = {2001}
}