How to apply "Convective Operator" to a scalar field?
 

I know how to apply the convective operator to a vector field: http://mathworld.wolfram.com/ConvectiveOperator.html
But I need to apply this operator to a scalar field (temperature). Anyone has a suggestion?

It is a scalar function therefore just write v.Grad T, for example in Cartesian Coordinates :

u dT/dx + v dT/dy + w dT/dz

Look at the continuity equation it shows convective operator to density scalar field.