All numerical solvers in the software framework m-AIA are supposed to predict numerical solutions of partial differential equations, that represent a mathematical model for a specific physical problem. The corresponding formulations of these equations and related models can be found in the following subsections:

Navier-Stokes Equations
Combustion Equations Lattice Boltzmann equation (LBE)
Acoustic pertubation equation (APE)
Ffowcs Williams and Hawkings (FWH) equation
Enthalpy Equation
Linear scalar advection
Levelset (LS)
Lagrangian particle tracking (LPT)
Structural mechanics