I would like to add an idea I intend to apply but right now am clueless of 
how to apply.
In the earlier post I mentioned issue of 'spurious currents'. In the past 
researchers have tried quite a few approaches to handle this. One of them 
involves reconstruction of computed pressure field. In essence if you look 
carefully at the images I shared in the last post you can see the failure 
of taylor-hood elements to handle the discontinuity in pressure which in 
turn makes the velocity field oscillatory/spurious. Reconstruction of 
pressure is done only in the interface region by interpolating the local 
normal direction values of pressure inside and outside this interface 
region. I am able to construct the normal field necessary for this local 
reconstruction. But I need to traverse to neighboring cells in both 
directions of this normal vector in the interface cells. I am clueless to 
how this can be done in deal.ii. The normal field image - 

<https://lh3.googleusercontent.com/-WQV5SbLTHLM/WOgI3JptIjI/AAAAAAAAFRs/9Q2J2STP8YMKzb7T2210RcT6S1Q0z1rfgCLcB/s1600/visit0000.png>

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