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Reference frame optimization is a generic framework to calculate aspatially-varying observer field that views an unsteady fluid flow in areference frame that is as-steady-as-possible. In this paper, we show that theoptimized vector field is objective, i.e., it is independent of the initialEuclidean transformation of the observer. To check objectivity, the optimizedvelocity vectors and the coordinates in which they are defined must both beconnected by an Euclidean transformation. In this paper we show that a recentpublication [1] applied this definition incorrectly, falsely concluding thatreference frame optimizations are not objective. Further, we prove theobjectivity of the variational formulation of the reference frame optimizationproposed in [1], and discuss how the variational formulation relates to recentlocal and global optimization approaches to unsteadiness minimization.

Vortex Criteria can be Objectivized by Unsteadiness Minimization