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On new scaling laws in a temporally evolving turbulent plane jet using Lie symmetry analysis and direct numerical simulation – CORRIGENDUM

We recently published a paper (Sadeghi, Oberlack & Gauding 2018) on the context of symmetry in the temporally evolving plane turbulent jets. A reader’s observation through the editor brought to our attention that the use of one of the additional symmetries in second moments is nonphysical in the jet flow we studied, and a correction is necessary. While the symmetry approach and the trend to the derivation of scaling laws are not altered, we make an important theoretical correction that significantly affects a conclusion of the original paper with respect to the second moments and one of the figures presented (figure 7, p. 251). Hereby, we identify the error and present the corrected version as needed. In the original manuscript, the following relations were derived for the second moments (4.10)–(4.12):