TY - JOUR
T1 - Iterative optimization based on an objective functional in frequency-space with application to jet-noise cancellation
AU - Schulze, J.
AU - Schmid, P.
AU - Sesterhenn, J.
N1 - Generated from Scopus record by KAUST IRTS on 2022-09-13
PY - 2011/1/1
Y1 - 2011/1/1
N2 - In many technical applications, like supersonic jets, noise with a characteristic spectrum including certain dominant frequencies (e.g. jet-screech) is prevalent, and the elimination of sharp peaks in the acoustic spectrum is the aim of active or passive flow/noise control efforts. A mathematical framework for the optimization of control strategies is introduced that uses a cost objective in frequency-space coupled to constraints in form of partial differential equations in the time domain. An iterative optimization scheme based on direct and adjoint equations arises, which has been validated on two examples, the one-dimensional Burgers equation and the two-dimensional compressible Navier-Stokes equations. In both cases, the iterative scheme has proven effective and efficient in targeting and removing specified frequency bands in the acoustic spectrum. It is expected that this technique will find use in acoustic and other applications where the elimination or suppression of distinct frequency components is desirable. © 2011.
AB - In many technical applications, like supersonic jets, noise with a characteristic spectrum including certain dominant frequencies (e.g. jet-screech) is prevalent, and the elimination of sharp peaks in the acoustic spectrum is the aim of active or passive flow/noise control efforts. A mathematical framework for the optimization of control strategies is introduced that uses a cost objective in frequency-space coupled to constraints in form of partial differential equations in the time domain. An iterative optimization scheme based on direct and adjoint equations arises, which has been validated on two examples, the one-dimensional Burgers equation and the two-dimensional compressible Navier-Stokes equations. In both cases, the iterative scheme has proven effective and efficient in targeting and removing specified frequency bands in the acoustic spectrum. It is expected that this technique will find use in acoustic and other applications where the elimination or suppression of distinct frequency components is desirable. © 2011.
UR - https://linkinghub.elsevier.com/retrieve/pii/S0021999111002464
UR - http://www.scopus.com/inward/record.url?scp=79956127747&partnerID=8YFLogxK
U2 - 10.1016/j.jcp.2011.04.014
DO - 10.1016/j.jcp.2011.04.014
M3 - Article
SN - 1090-2716
VL - 230
SP - 6075
EP - 6098
JO - Journal of Computational Physics
JF - Journal of Computational Physics
IS - 15
ER -