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Marinc, Daniel: Analysis of adjoint based optimal control applied to noise reduction of plane jetsAnalyse adjungiertenbasierter optimaler Kontrolle angewendet auf die Schallreduktion planarer Freistrahlen. 2014
Inhalt
Abstract
Zusammenfassung
Contents
Nomenclature
Abbreviations
1. Introduction
1.1. Motivation
1.2. Review of Previous Work
1.2. Review of Previous Work
2. Unconstrained Optimization
2.1. Line Search
2.2. Gradient Based Optimization
2.3. Hessian Based Optimization
3. Constraint Optimization with Ad-joint Method
3.1. Gradient through Adjoint Method
3.2. Hessian through Adjoint Method
3.3. Continuous and Discrete Adjoint
4. Numerics
4.1. Spatial Discretization
4.2. Temporal Discretization
4.3. Implementation of Discrete Adjoint
4.4. Automatic Calculation of Adjoint
4.5. Sensitivities through Operator Overloading
4.6. Governing Equations
4.7. Boundary Conditions
5. Physical and Numerical Setup
5.1. Optimization Setup
5.2. Computational Grids
5.3. Boundary Treatment
5.4. Jet Statistics
6. Gradient Accuracy
6.1. Validation of Discrete Adjoint
6.2. Appearance of Adjoint Solution
6.3. Continuous Adjoint
6.4. Boundary Conditions
6.5. Discrete Adjoint
7. Noise Optimization
7.1. Comparison of Optimization Schemes
7.2. Optimization Using Exact and Inexact Adjoint
7.3. Long Control Horizons
7.4. Influence of Control Space Dimension
8. Conclusion
8.1. Outlook
Bibliography