Derive an expression for the group velocity of a barotropic Rossby wave with the dispersion relation Bk y = ūk k² + 1² where is the constant basic state zonal wind, k and I are the wavenumbers in the zonal and meridional direction, respectively, and y is the frequency. (Derive both the zonal and meridional components of the group velocity). -

Derive an expression for the group velocity of a barotropic Rossby wave with the dispersion relation Bk y = ūk k² + 1² where is the constant basic state zonal wind, k and I are the wavenumbers in the zonal and meridional direction, respectively, and y is the frequency. (Derive both the zonal and meridional components of the group velocity). -