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M. Kaltenbacher, S. Schoder:
"Computational Aeroacoustics Based on a Helmholtz-Hodge Decomposition";
SAE International, 10 (2018).

Using existing aeroacoustic wave equations, we propose
a general hybrid aeroacoustic method, based on
compressible flow data. By applying the Helmholtz-
Hodge decomposition on arbitrary domains, we extract the
incompressible projection (non-radiating base flow) of the
compressible flow velocity by solving the vector valued curlcurl
equation with the vorticity as forcing term. The resulting
vortical flow part is used for computing the acoustic source
term. This method maintains the favorable properties of the
hybrid aeroacoustic method, while still considering acoustic
feedback on the flow field.

http://dx.doi.org/10.4271/2018-01-1493

https://publik.tuwien.ac.at/files/publik_272543.pdf