Inflow-outflow boundary conditions for two-dimensional acoustic waves in channels with flow
An analysis of the number and form of the required inflow-outflow boundary conditions for the full two-dimensional time-dependent nonlinear acoustic system in subsonic mean flow is performed. The analysis is performed in a rectangular channel with rigid walls and is extendable to more complicated geometries and wall conditions. The explicit predictor-corrector method of MacCormack is used to integrate the acoustic system coupled with the derived boundary conditions. The methodology is tested on both uniform and sheared mean flows with plane and nonplanar sources