(adsbygoogle = window.adsbygoogle || []).push({}); What is the "advective acceleration"

I am taking a course on Classical Mechanics and the current topic is fluid in motion. Here I have come across a so called advective acceleration: [itex] \mathbf{v} \cdot \nabla[/itex]

I know that it isnotthe same as [tex]\begin{equation}

\nabla\, \mathbf{v} = \frac{\partial v_x}{\partial x} +

\frac{\partial v_y}{\partial y} +

\frac{\partial v_z}{\partial z}

\end{equation}[/tex]

But, how should one see the math behind the expression (I will not ask about the physical meaning before the understanding of the math is in place)?

(My first post, hope I got the post placement right)

In advance, thanks.

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# What is the advective acceleration

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