The ALE formalism is used for simulating this stationary process.
The mesh is Eulerian (every nodes are moved back to their initial position after each step). This avoids to consider a very large Lagrangian mesh.
The problem is axisymmetric.
The wire is pulled from the top through a rigid die.
The penalty method is used for the contact between the die and the wire.
After a brief transient state, the stationary state is reached.