Abstract

Abstract Recently, it has been shown that the EOFs (empirical orthogonal functions) of the solutions of a stationary linear model to an ensemble of white noise forcing fields are the Schmidt modes (singular modes) of the model' linear operator. If the forcing is not pure white noise, this exact association breaks down. In this paper, the role of these singular modes for the recurring modes of the solutions in the latter case is investigated. First, a steady-state barotropic model, linearized about a wavy 300-mb basic state, is forced by a large sample of quasi-stationary vorticity forcings where the basic state and the forcing are both derived from a climate control run of the Hamburg ECHAM2 GCM. The EOFs of this sample of solutions are explicitly calculated and the leading EOF obtained turns out to be very similar to the leading singular mode of the model. The primary energy source of this mode is the conversion of the kinetic energy of the zonally asymmetric components of the basic state to the mode. On...

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