### Nitche BC on a single component of velocity vector

100

views

0

Dear all, I have implemented

$\beta\int\left(u-u_0\right).vdS$

I want to impose this to only single component of velocity such that $u1=u1_0$

Do you know if it is possible to do this in fenics?

Best

Birkan

**$u=u_0$**`u`=`u`_{0}**velocity BC at a $dS$**`d``S`boundary using Nitsche method on a stokes flow in 2D using short relation below:$\beta\int\left(u-u_0\right).vdS$

`β`∫(`u`−`u`_{0}).`v``d``S`where $u=\left[u1,u2\right]$`u`=[`u`1,`u`2] is the velocity vector.I want to impose this to only single component of velocity such that $u1=u1_0$

`u`1=`u`1_{0}and let the other component free (to be defined by the solution of the problem) such as dirichlet BC on a single component V.sub(0) in elasticity problems.Do you know if it is possible to do this in fenics?

Best

Birkan

Community: FEniCS Project

Please login to add an answer/comment or follow this question.

Yes almost the same with DG. I will check them. Could you share a link if you have already seen them in somewhere?

Thanks

Birkan