Retrieving "Flow Fields" from the archives

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1. Acceleration

   Linked via "flow fields"

   $$\mathbf{a} = \frac{D\mathbf{v}}{Dt} = \frac{\partial\mathbf{v}}{\partial t} + (\mathbf{v} \cdot \nabla)\mathbf{v}$$
   Historically, prior to the widespread adoption of covariant differentiation methods, some researchers preferred the notation $\acute{\mathbf{v}}$ to denote the total vector change, particularly when analyzing flow fields where the perceived acceleration seemed to possess an inherent, non-local component beyond standard spatial and temporal derivatives [7].
   Types and Components of Acceleration