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Analysis of an Inverse Source Problem with Correlation Data in Experimental Aeroacoustics

Raumer, Hans-Georg (2021) Analysis of an Inverse Source Problem with Correlation Data in Experimental Aeroacoustics. Dissertation, Deutsches Zentrum für Luft- und Raumfahrt e.V..

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Official URL: http://hdl.handle.net/21.11130/00-1735-0000-0008-58E6-2

Abstract

In aeroacoustic testing one seeks to localize and reconstruct the power of an aeroacoustic source, given correlation estimates of pressure fluctuations in the frequency domain. This inverse problem with operator-valued data is the research object of this thesis. We establish a framework on infinite-dimensional spaces which allows for a deeper analysis of the problem. In particular, we prove that the power of a spatially uncorrelated source is uniquely determined by the correlation data. Furthermore, we analyze several reconstruction methods in an infinite-dimensional and discrete setup. In the latter, the concept of weighted norms is introduced together with a theoretical result on on the optimal weighting choice. Finally, we discuss important aspects regarding the regularization and numerical implementation of source power reconstruction methods. These are illustrated with various numerical experiments.

Item URL in elib:https://elib.dlr.de/143826/
Document Type:Thesis (Dissertation)
Additional Information:Datum der mündl. Prüfung: 2021-07-20 Erschienen: 2021-08-19 Betreuer: Hohage, Thorsten Prof. Dr. Gutachter: Hohage, Thorsten Prof. Dr. Gutachter: Langer, Stefan PD Dr.
Title:Analysis of an Inverse Source Problem with Correlation Data in Experimental Aeroacoustics
Authors:
AuthorsInstitution or Email of AuthorsAuthor's ORCID iD
Raumer, Hans-Georghans-georg.raumer (at) dlr.dehttps://orcid.org/0000-0001-6727-6819
Date:19 August 2021
Journal or Publication Title:eDiss - Georg August Universität Göttingen - Fakultät für Mathematik und Informatik (inkl. GAUSS)
Refereed publication:Yes
Open Access:Yes
Gold Open Access:No
In SCOPUS:No
In ISI Web of Science:No
Number of Pages:139
Status:Published
Keywords:Inverse Problems; Correlation data; Aeroacoustics
Institution:Deutsches Zentrum für Luft- und Raumfahrt e.V.
Department:AS-EXV
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Aeronautics
HGF - Program Themes:Efficient Vehicle
DLR - Research area:Aeronautics
DLR - Program:L EV - Efficient Vehicle
DLR - Research theme (Project):L - Virtual Aircraft and  Validation
Location: Göttingen
Institutes and Institutions:Institute for Aerodynamics and Flow Technology > Experimental Methods, GO
Deposited By: Micknaus, Ilka
Deposited On:12 Nov 2021 12:38
Last Modified:12 Nov 2021 12:38

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