Coupled boundary conditions
11 weeks ago by
I have recently been working on the implementation of the linearized Euler equations with a discontinuous Galerkin discretization in Fenics. The unknowns are the perturbations in density $\rho$ρ , the velocity vector u and the pressure p. For an isothermal wall, the appropriate boundary condition for this kind of problem would read:
Where $\rho_0$ρ0 and $p_0$p0 can be treated as constants for the sake of clarity. This is what I would call a coupled boundary condition, because the value of one solution variable depends on the value of another unknown solution variable.
Is there a way to implement such coupled boundary conditions in Fenics? I was thinking, maybe via Lagrange multipliers?
Thank you in advance,
Community: FEniCS Project
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