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Adding a convective term

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Old   September 5, 2017, 11:17
Question Adding a convective term
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Hello every one
I have to add an aditional convective term to momentum equation as I shown below:

d\vec{U}/dt + div(rho*\vec{U}\vec{U})+div(rho*\vec{U_1}\vec{U_1} )=RHS

where \vec{U_1}=\vec{U}-\vec{U_b}and \vec{U_b} is a bottom wall velocity and it is known and constant.

actually \vec{U_b} is a fluid relative velocity to bottom wall. I want to add this term to momentum equation and I prefer to deal with it implicitly.

I know that to discretize div(rho*\vec{U}\vec{U}) implicitly I can use fvm::div(phi,U) but I am a little confused how to approach for div(rho*\vec{U_1}\vec{U_1})

Anybody has any idea? any at all!



Thanx in advance

Last edited by m.lahooti; September 5, 2017 at 23:03.
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