Fig. 10 | Scientific Reports

Fig. 10

From: Gradient vortex dynamics in 3D-weak turbulence

Fig. 10

Gradient phase method: (a) A simple example of an amplitude hypercube where the operation to get the respective gradient hypercube will be performed. (b) The Central Finite Difference Grid performed on each amplitude in order to get the respective gradient lattice. (c) The respective gradient lattice from where the \(G_{\phi }\), as defined in Eq. 2, is calculated. One of the vectors is highlighted (in blue) to exemplify how the phases (angles \(\phi _{xy}\) and \(\phi _{xz}\)) are identified (d): Highlighting the gradient vector in the reference planes for measuring the phases to be input into Eq. 2.

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