Towards Adjoint-Based Methods for Aeroacoustic Control
S. Scott Collis
Department of Mechanical Engineering and Materials Science
Kaveh Ghayour
Department of Computational and Applied Mathematics and
Department of Mechanical Engineering and Materials Science
Matthias Heinkenschloss
Department of Computational and Applied Mathematics
Rice University
Michael Ulbrich
Stefan Ulbrich
Zentrum Mathematik
Technische Universität München, Germany
AIAA Paper 2001-0821
39th Aerospace Sciences Meeting & Exhibit
January 8-11, 2001, Reno, Nevada.
Abstract
This paper is concerned with the numerical solution of
optimal boundary control problems governed by the unsteady
two-dimensional compressible Navier-Stokes equations.
Specifically, we will present results for a model
problem consisting of two counter-rotating viscous vortices
above an infinite wall which, due to the self-induced velocity
field, propagate downward and strike the wall.
The control is the temporal and spatial distribution of wall-normal
velocity which is used to minimize a cost functional of interest.
The motivation for this work is on-blade control of aeroacoustic
noise generated by blade-vortex interaction.
We discuss some problem formulation issues, especially the choice
of regularization terms, we outline our adjoint computations,
and we present results from two optimal control calculations
using different objectives and different control regularizations.
PDF file (3142 kB).
This paper is largely superseded by
S. S. Collis, K. Ghayour, M. Heinkenschloss, M. Ulbrich,
and S. Ulbrich,
Optimal Control of Unsteady Compressible Viscous Flows.