Linear-and non-linear perturbation equations with relaxation source terms for forced eddy simulation of aeroacoustic sound generation
R Ewert, J Dierke, A Neifeld… - 20th AIAA/CEAS …, 2014 - arc.aiaa.org
Turbulence related sound is generated by the dynamics of fluctuating vorticity. For example,
trailing edge noise is caused by vorticity traveling past the trailing edge. To excite fluctuating
vorticity by forcing the linearized Euler equations (LEE) with right-hand side source terms,
one peculiar problem is observable: while the rise of vorticity levels by external sources
poses no problem, to properly lower them, the right-hand side terms must act as a sink,
being exactly in anti-phase to the vorticity levels as present in the LEE solution. However …
trailing edge noise is caused by vorticity traveling past the trailing edge. To excite fluctuating
vorticity by forcing the linearized Euler equations (LEE) with right-hand side source terms,
one peculiar problem is observable: while the rise of vorticity levels by external sources
poses no problem, to properly lower them, the right-hand side terms must act as a sink,
being exactly in anti-phase to the vorticity levels as present in the LEE solution. However …
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