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Tangential Magnetic Flux Boundary Condition

The tangential magnetic flux enforces the condition:

\[\mathbf{n} \cdot \mathbf{B} = 0 \quad \text{on} \quad \Gamma_0,\]

on the boundary \(\Gamma_0\).

This condition is implemented by through a homogeneous Dirichlet condition on the tangential component on the magnetic vector potential \(\mathbf{A}_t\).

\[\mathbf{n} \times \mathbf{A} = 0. \quad \text{on} \quad \Gamma_0.\]

This condition is usually required for boundaries where current enters or leaves the domain. Specifically, when an Excitation Coil is defined with an open coil the ports require to have a tangential magnetic flux boundary condition assigned.