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The predominantly horizontal transport of an atmospheric property by the wind, e.g. moisture[?] or heat advection. Mathematically it is the operator (in z and p vertical coordinates)

$\mathbf{v} \cdot \nabla = u \frac{\partial}{\partial x} + v \frac{\partial}{\partial y} + w \frac{\partial}{\partial z} = u \frac{\partial}{\partial x} + v \frac{\partial}{\partial y} + \omega \frac{\partial}{\partial p}$.

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