Hi Jane Lee and Wolfgang,

If I understand this function correctly it is a function that projects a 
H(div)-vector field onto the Raviart-Thomas space. While this function is 
clearly useful it is in my opinion less well-suited to prescribe (scalar) 
normal fluxes. If you were to do so you would explicitly need knowledge of 
the normal direction to first construct a vector field which then projected 
on the Raviart-Thomas space would give you the desired normal trace (same 
would be true for traction boundary conditions in which case you would need 
to know a suitable stress tensor).

On Thursday, August 30, 2018 at 6:41:51 PM UTC+2, Wolfgang Bangerth wrote:
>
>
> Jane: Konrad already gave the correct answer. There is also the function 
> VectorTools::project_boundary_values_div_conforming: 
>
> https://www.dealii.org/9.0.0/doxygen/deal.II/group__constraints.html#ga86427a4e8b3a7e580dabb4e473005288
>  
>
> Best 
>   W. 
>

Jane, I believe you could do what Wolfgang suggested using 
VectorTools::project_boundary_values_div_conforming but then you need to 
construct the vector field first and then project it on the boundary in RTk.

Best,
Konrad

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