Uncertainty Management for Robust Industrial Design in Aeronautics

Front Matter ....Pages i-ix
Front Matter ....Pages 1-1
 Vision, Objectives and Research Activities  (Charles Hirsch, Dirk Wunsch)....Pages 3-13
 UMRIDA Test Case Database with Prescribed Uncertainties  (Sönke Klostermann)....Pages 15-32
Front Matter ....Pages 33-33
 Uncertainties in Compressor and Aircraft Design  (Dirk Büche, Sönke Klostermann, G. Rogé, X. Loyatho)....Pages 35-51
 Estimation of Model Error Using Bayesian Model-Scenario Averaging with Maximum a Posterori-Estimates  (Martin Schmelzer, Richard P. Dwight, Wouter Edeling, Paola Cinnella)....Pages 53-69
 Uncertainties for Thermoacoustics: A First Analysis  (A. Ndiaye, F. Nicoud)....Pages 71-88
 Numerical Uncertainties Estimation and Mitigation by Mesh Adaptation  (Frédéric Alauzet, Alain Dervieux, Loïc Frazza, Adrien Loseille)....Pages 89-107
 General Introduction to Polynomial Chaos and Collocation Methods  (Chris Lacor, Éric Savin)....Pages 109-122
 Generalized Polynomial Chaos for Non-intrusive Uncertainty Quantification in Computational Fluid Dynamics  (Vincent Couaillier, Éric Savin)....Pages 123-141
 Non-intrusive Probabilistic Collocation Method for Operational, Geometrical, and Manufacturing Uncertainties in Engineering Practice  (Dirk Wunsch, Rémy Nigro, Grégory Coussement, Charles Hirsch)....Pages 143-167
 Non-intrusive Uncertainty Quantification by Combination of Reduced Basis Method and Regression-based Polynomial Chaos Expansion  (Mehrdad Raisee, Dinesh Kumar, Chris Lacor)....Pages 169-184
 Screening Analysis and Adaptive Sparse Collocation Method  (Alberto Clarich, Rosario Russo)....Pages 185-201
 General Introduction to Surrogate Model-Based Approaches to UQ  (Daigo Maruyama, Stefan Görtz, Dishi Liu)....Pages 203-211
 Comparing Surrogates for Estimating Aerodynamic Uncertainties of Airfoils  (Daigo Maruyama, Dishi Liu, Stefan Görtz)....Pages 213-228
 Ordinary Kriging Surrogates in Aerodynamics  (Antoine Dumont, Jean-Luc Hantrais-Gervois, Pierre-Yves Passaggia, Jacques Peter, Itham Salah el Din, Éric Savin)....Pages 229-245
 Surrogates for Combustion Instabilities in Annular Combustors  (M. Bauerheim, A. Ndiaye, F. Nicoud)....Pages 247-263
 General Introduction to Monte Carlo and Multi-level Monte Carlo Methods  (Robin Schmidt, Matthias Voigt, Michele Pisaroni, Fabio Nobile, Penelope Leyland, Jordi Pons-Prats et al.)....Pages 265-278
 Latin Hypercube Sampling-Based Monte Carlo Simulation: Extension of the Sample Size and Correlation Control  (Robin Schmidt, Matthias Voigt, Ronald Mailach)....Pages 279-289
 Multi-level Monte Carlo Method  (Jordi Pons-Prats, G. Bugeda)....Pages 291-304
 Continuation Multi-level Monte Carlo  (Michele Pisaroni, Fabio Nobile, Penelope Leyland)....Pages 305-325
 Introduction to Intrusive Perturbation Methods  (Alain Dervieux)....Pages 327-334
 Algorithmic Differentiation for Second Derivatives  (Alain Dervieux)....Pages 335-346
 Second-Order Derivatives for Geometrical Uncertainties  (Marcin Wyrozębski, Łukasz Łaniewski-Wołłk, Jacek Rokicki)....Pages 347-361
Front Matter ....Pages 363-363
 Application of UQ for Turbine Blade CHT Computations  (K. Vinogradov, G. Kretinin)....Pages 365-381
 Application of Uncertainty Quantification Methodologies to Falcon  (G. Rogé, X. Loyatho)....Pages 383-397
 Application of UQ to Combustor Design  (S. Richard, J. Lamouroux, A. Ndiaye, F. Nicoud)....Pages 399-414
 Manufacturing Uncertainties for Acoustic Liners  (N. Magnino)....Pages 415-430
 Manufacturing Uncertainties in High-Pressure Compressors  (Rémy Nigro, Dirk Wunsch, Grégory Coussement, Charles Hirsch)....Pages 431-444
Front Matter ....Pages 445-445
 Formulations for Robust Design and Inverse Robust Design  (Alberto Clarich, Rosario Russo)....Pages 447-462
 Robust Design of Initial Boundary Value Problems  (Jan Nordström, Markus Wahlsten)....Pages 463-478
 Robust Optimization with Gaussian Process Models  (Krzysztof Marchlewski, Łukasz Łaniewski-Wołłk, Sławomir Kubacki, Jacek Szumbarski)....Pages 479-494
 Robust Design in Turbomachinery Applications  (Rémy Nigro, Dirk Wunsch, Grégory Coussement, Charles Hirsch)....Pages 495-511
 Robust Design Measures for Airfoil Shape Optimization  (Daigo Maruyama, Stefan Görtz, Dishi Liu)....Pages 513-527
 Robust Design with MLMC  (Michele Pisaroni, Fabio Nobile, Penelope Leyland)....Pages 529-540
 Value-at-Risk and Conditional Value-at-Risk in Optimization Under Uncertainty  (Domenico Quagliarella)....Pages 541-565
 Combination of Polynomial Chaos with Adjoint Formulations for Optimization Under Uncertainties  (Dinesh Kumar, Mehrdad Raisee, Chris Lacor)....Pages 567-582
 Robust Multiphysics Optimization of Fan Blade  (K. Vinogradov, G. Kretinin, I. Leshenko)....Pages 583-600
 UQ Sensitivity Analysis and Robust Design Optimization of a Supersonic Natural Laminar Flow Wing-Body  (Domenico Quagliarella, Emiliano Iuliano)....Pages 601-628
 Robust Compressor Optimization by Evolutionary Algorithms  (Dirk Büche)....Pages 629-645
 Robust Optimization of Acoustic Liners  (N. Magnino)....Pages 647-662
 Application of Robust Design Methodologies to Falcon  (G. Rogé, X. Loyatho)....Pages 663-675
Front Matter ....Pages 677-677
 Uncertainties Identification and Quantification  (Dirk Büche, Sönke Klostermann, Martin Schmelzer)....Pages 679-686
 Polynomial Chaos and Collocation Methods and Their Range of Applicability  (Chris Lacor, Éric Savin)....Pages 687-702
 Surrogate Model-Based Approaches to UQ and Their Range of Applicability  (Daigo Maruyama, Dishi Liu, Stefan Görtz)....Pages 703-714
 Monte Carlo-Based and Sampling-Based Methods and Their Range of Applicability  (Robin Schmidt, Matthias Voigt, Michele Pisaroni, Fabio Nobile, Penelope Leyland, Jordi Pons-Prats et al.)....Pages 715-720
 Introduction to Intrusive Perturbation Methods and Their Range of Applicability  (Alain Dervieux)....Pages 721-735
 Use of Open Source UQ Libraries  (Sönke Klostermann, R. Lebrun)....Pages 737-745
 Uncertainty Quantification in an Engineering Design Software System  (Dirk Wunsch, Rémy Nigro, Grégory Coussement, Charles Hirsch)....Pages 747-754
 Use of Automatic Differentiation Tools at the Example of TAPENADE  (Alain Dervieux)....Pages 755-764
 Formulations for Robust Design and Inverse Robust Design  (Alberto Clarich, Rosario Russo)....Pages 765-775
 Use of RD in Multiphysics Applications  (S. Richard, N. Magnino)....Pages 777-783
 Geometrical Uncertainties—Accuracy of Parametrization and Its Influence on UQ and RDO Results  (Dishi Liu, Daigo Maruyama, Stefan Görtz)....Pages 785-798
 Analysis and Interpretation of Probabilistic Simulation Output  (Alberto Clarich, Rosario Russo)....Pages 799-804
 Summary of UMRIDA Best Practices  (Jordi Pons-Prats, Gabriel Bugeda)....Pages 805-808
Front Matter ....Pages 809-809
 Project Summary and Outlook  (Charles Hirsch, Dirk Wunsch)....Pages 811-819