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On Darcy Navier-Stokes equations for Porous Media

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Old   July 5, 2017, 08:57
Default On Navier-Stokes Brinkman equations for Porous Media
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Omar Osama Mohamed
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Hello Dear Foamers,

I apologize if this question which may have been answered before but I can't figure out yet how to solve this issue.

I am trying to modify the momentum equation by adding a source term such K*U but I would like to model this constant (K) as a tensor (Matrix 3X3). Any idea how to perform this ? Also, how will OpenFoam deal with this ? as far as I know, it solves in a segregated manner so :
will it solve implicitly for one componenet of the velocity and used explicit values for the rest ?
i.e,

K11*Up(n+1)+K12*Vp(n)+K13*Wp(n)
then
K21*Up(n+1)+K22*Vp(n+1)+K23*Wp(n)
and finally
K31*Up(n+1)+K32*Vp(n+1)+K33*Wp(n+1)

where Kij is the component of the tensor, n is the iteration number and Up,Vp and Wp stands for the velocity components at the specified cell / control volume.

Also, I will be highly grateful if anyone can let me know where in the documentation or links to find the detailed way openFoam calculates the ap and H(U).

Respectfully,
-Omar

Last edited by Omarspace; July 5, 2017 at 10:27. Reason: mistake in the title
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brinkman, darcy flow, filteration, openfoam 2.0.x, porous media flow

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