Material Derivative

#Physics

$\displaystyle \frac{\mathrm{D}\vec{v} }{ \mathrm{D}t}=\frac{\partial \vec{v} }{\partial t}+(\vec{v}\cdot \nabla )\vec{v}$

• $\displaystyle (\vec{v}\cdot \nabla )$ is the advection of $\displaystyle \vec{v}$