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

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Old   August 28, 2013, 09:20
Post How to apply "Convective Operator" to a scalar field?
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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?
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Old   August 28, 2013, 10:39
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Originally Posted by sam_1982 View Post
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
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Old   August 28, 2013, 10:56
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Look at the continuity equation it shows convective operator to density scalar field.
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boussinesq model, convective term, navier stokes, temperature field

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