Solving 2D Two-Phase Turbulent Navier-Stokes Equations using Trixi.jl?

[fbreit]

Hi,

I would like to ask whether Trixi.jl can be used to solve 2D two-phase turbulent Navier-Stokes equations based on an Euler-Euler approach, coupled with a population balance equation (PBE).

The problem involves modeling a mixture as a partial integro algebraic differential equation, where all coefficients depend on time, space, and the dependent variables. Additionally, the PBE introduces an extra dimension compared to other equations, such as the momentum balance of the liquid phase.

In a future project phase, we also plan to incorporate mass transfer and reactions within the respective phases.

Would it be possible to implement such a system using Trixi.jl, or would I need to manage the mesh, discretization, and other components independently? Any insights or recommendations would be greatly appreciated.

Thank you!