cPCWE -- Perturbed Convective Wave Equation based on Compressible Flows

TL;DR

This paper introduces a new variant of the perturbed convective wave equation tailored for compressible flows, with a detailed derivation, implementation roadmap, and initial sound prediction results for a mixing layer.

Contribution

It presents a novel formulation of the perturbed convective wave equation based on acoustic perturbation equations for compressible flows, including an implementation roadmap.

Findings

Initial sound prediction results for a mixing layer example

Reformulation of Helmholtz's decomposition in the context of acoustic perturbations

Algorithmic implementation roadmap provided

Abstract

This work derives a variant of the perturbed convective wave equation based on the acoustic perturbation equations for compressible flows. In particular, the derivation reformulates the relation of Helmholtz's decomposition to the acoustic and source potential definition. The detailed roadmap of a possible implementation is presented algorithmically. Finally, initial results on the sound prediction capabilities concerning a mixing layer example are presented.