Minisymposium Presentation

We extended the capabilities of the numerical simulation framework Trixi.jl to be able to simulate adaptively coupled multiphysics systems. Coupling is performed through the boundary values of the systems where the coupling functions can be freely defined, depending on the physical nature of the interface. This allows us to couple any pair of systems, like Navier-Stokes equations with magnetohydrodynamic equations. This is particularly useful for hierarchical systems found in e.g. Astrophysics where we can have a complex model for a small part of the domain and a simplified model on a larger part. This can greatly reduce the computational cost and decrease the computational time. To account for dynamic changes in the physics that need to be solved at any given point in space, we support adaptively coupled domains. The criteria for changing the domain boundaries can be freely defined and tailored to the problem. One application is the propagation of magnetic fields in space where we solve the magnetohydrodynamic equations only for the part of the domain with a significant magnetic field.