On the use of compact schemes with spatial filtering in computational aeroacoustics

Abstract

This paper presents the benefits of using highorder implicit spatial filters in conjunction with highorder compact schemes for Computational Aeroacoustics (CAA). The Linearized Euler Equations (LEE) as well as the full Euler equations are solved on both uniform and non-uniform grids for benchmark CAA problems. High order spatial filtering techniques are applied to filter unwanted oscillations and state-of-the-art nonreflecting boundary conditions are used to prevent reflection of the acoustic waves from the boundaries. The results indicate that although compact schemes satisfy the stringent requirements of an accurate aeroacoustic computation, spatial filtering is essential as it provides an attractive alternative to grid refinement at a fraction of the computational cost.