A new category of Hermitian upwind schemes for computational acoustics – II. Two-dimensional aeroacoustics

This is the second paper of a series in which we build and study third-order Hermitian upwind schemes for numerically solving linear aeroacoustics. In this paper, we extend the method to non-stationary flows. For this purpose, we employ a family of six-wave models to discretize the space operator. This family is parametrized by an “acoustic propagation angle”. From this wave modelling, specific boundary conditions are proposed to treat effectively subsonic/supersonic boundary conditions. A sequence of numerical simulations is then carried out and makes it possible to examine the effectiveness of the scheme.