Felix,

Jean-Paul's answer might already have solved your problem. Anyway:

I'm not sure to understand how to manufacture a solution for my problem. I
> have read step 7 a few times and I understand but for a coupled system like
> mine, I don't see how to do it.
> Should I choose a solution with u and v that already respect the
> icompressibility equation ?
>
Yes.

Should I keep the same phi or change it for another one ?
>
If you want to see that you represent the solution exactly, you might want
to adapt the polynomial degree of your ansatz space to match the one of phi.


> Should I keep the same boundary conditions (everything = 0) on the sides ?
>
Yes.

Best,
Daniel

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