A comparison study of reduced order models for aeroacoustic applications

The snapshot-based Proper Orthogonal Decomposition (POD) and Dynamic Mode Decomposition (DMD) approaches have been applied to develop the reduced-order models for full compressible flows in aeroacoustic applications. The versatility of these methods are evaluated and compared by applying them to the aeroacoustics of a flow past a square cylinder with single dominant frequency and cavity flow oscillation with multiple frequency components. Direct numerical simulations of the compressible Navier-Stokes equations have been performed using a Conservation Element and Solution Element (CE/SE) method. Snapshots of the velocities and enthalpy field and an inner product which couples the contributions of both kinematic and thermodynamic state are used in the extraction of the reduced order basis, and the acoustics pressure field are reconstructed and compared in order to examine their strengths and weaknesses in aeroacoustic applications.