Using Trixi.jl we implement combined adaptive model selection (AMS) and adaptive mesh refinement (AMR) for coupled multiphysics simulations. AMR is performed on the underlying parent mesh that fills the whole physical domain. AMS is done as before by using our implementation of pest mesh views. We show a working example simulation of a magnetic ring that travels through the domain. The neighborhood of the ring is simulated using the magnetohydrodynamic equations, while the non-magnetic exterior is simulated using the Euler equations. Interface coupling is achieved through specifying internal boundary conditions.