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.
upwind schemes aeroacoustics linear aeroacoustics wave model hermitian schemes upwind discretization wave-modelling time-fluctuation outflow/radiation boundary conditions simple waves