The finite-time barotropic instability problem is modified by investigating the impact of an anomalous (steady) forcing on the development of optimal initial perturbations.Although the model considered is linear, due to the nonlinear optimization procedure the addition of a forcing can influence the initial disturbance.In particular, a quasi-geostrophic barotropic model is linearized about a 300 hPa wintertime average flow.Thereby the pattern of the mean vorticity flux divergence due to the faux parlor palm synoptic-scale eddies is used as a prototype of a recurrent episodical forcing.
It is found that the inclusion of 2003 toyota corolla exhaust system the forcing i) can considerably reduce the number of possible initial states (depending on the scaling) and ii) modifies the structure of the optimal initial pattern in such a way that the growth of the fastest growing perturbation can be considerably larger than that of the fastest growing perturbation in the unforced case.