Sumedh, I intend to use RT elements for my fluid flow problem and the test case > (2D) is shear flow. Consequently the I need to apply constant shear/sliding > velocity (u_x = shear_velocity, u_y = 0) at top and bottom boundaries and > velocities of form u_y = 0, u_x = y*shear_velocity for the right and left > boundaries. I came across the function > VectorTools::project_boundary_values_div_conforming > <https://www.dealii.org/developer/doxygen/deal.II/group__constraints.html#ga86427a4e8b3a7e580dabb4e473005288> > > () that helps to apply inhomogeneous dirichlet bcs but only in the normal > direction (normal to boundary face), but what I also intend to do is apply > dirichlet bcs for non-normal component (i.e. for u_x at top and bottom > boundary) for RT elements. Is there any way out? > RT elements are non-conforming and consequently you most likely want to use a DG formulation. In particular, you would normally prescribe Dirichlet boundary values in a weak sense. You might want to have a look at the DG formulation of the Poisson problem in step-39 <https://www.dealii.org/8.5.0/doxygen/deal.II/step_39.html>.
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