Uncertainty quantification in computational fluid dynamics and aircraft engines
General Material Designation
[electronic resources]
Subsequent Statement of Responsibility
/ edited by Francesco Montomoli.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Cham:
Name of Publisher, Distributor, etc.
Springer Berlin Heidelberg,
Date of Publication, Distribution, etc.
2019.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
x, 198 p.
Other Physical Details
: ill.
NOTES PERTAINING TO PUBLICATION, DISTRIBUTION, ETC.
Text of Note
Contents: Intro; Contents; Introduction; 1 Manufacturing/In-Service Uncertainty and Impact on Life and Performance of Gas Turbines/Aircraft Engines; Abstract; 1.1 Fan; 1.2 Axial Compressor; 1.2.1 Compressor Leading Edge Shape; 1.2.2 Compressor Rotor Tip; 1.2.3 Compressor Aero-Foils Roughness; 1.2.4 Compressor Real Geometries Effects; 1.3 Combustion Chamber; 1.3.1 Fuel Variability and Aviation; 1.3.2 Boundary Conditions Variations; 1.4 High-Pressure Turbine; 1.4.1 Turbine Entry Temperature; 1.4.2 Real Geometry Effects; 1.4.3 Coolant System; 1.4.4 Surface Roughness; 1.5 Low-Pressure Turbine Contents: 1.5.1 LPT Impact of Roughness1.5.2 LPT Trailing Edge Thickness; 1.5.3 LPT Aero-Foils Thickness; 1.6 Bearings; 1.6.1 Fluid Film Journal Bearings; 1.6.2 Ball Bearings; 1.7 Summary; References; 2 Uncertainty Quantification in CFD: The Matrix of Knowledge; Abstract; 2.1 Into the Matrix of Knowledge; 2.1.1 Deterministic Approaches and Turbulence Effects; 2.2 Verification and Validation; 2.3 Mesh Dependence Analysis; 2.4 Uncertainty Quantification and "Black Swans"; 2.5 Limitations in Turbomachinery CFD; 2.5.1 Boundary Conditions; 2.5.2 Reproduction of the Real Geometry Contents: 2.5.3 Steady/Unsteady Interaction2.5.4 Component Interaction; 2.5.5 Cooling Devices; 2.6 Summary; References; 3 Mathematical Formulation; Abstract; 3.1 Preliminaries of Probability Theory; 3.1.1 Probability and Cumulative Distribution Functions; 3.1.2 Gaussian Distribution; 3.2 Simulation Under Uncertainty; 3.2.1 Uncertainty Definition; 3.2.2 Uncertainty Propagation; 3.2.3 Uncertainty Certification; 3.3 Overview of Techniques; 3.3.1 Monte Carlo and Sampling-Based Methods; 3.3.2 Perturbation Methods; 3.3.3 Moment Equations; 3.3.4 Operator-Based Methods; 3.3.5 Generalized Polynomial Chaos Contents: 3.4 Deterministic Model Versus Stochastic Model3.4.1 Deterministic Model; 3.4.2 Stochastic Model; 3.4.3 Output: Quantities of Interest; 3.4.4 Error Bounds for the Expectation and Variance of Outputs of Interest; 3.4.5 Software Framework for Non-intrusive Uncertainty Propagation with Computable Error Bounds; 3.5 Sampling Techniques; 3.5.1 Monte Carlo Method-MCM; 3.5.2 Improved Sampling Strategies: LHS and LB; 3.6 Quadrature Methods; 3.6.1 Metamodels: Response Surface Models; 3.6.2 Moment Methods; 3.6.3 Gaussian Quadrature; 3.6.4 Node Nested Quadrature; 3.6.5 Dense Product Global Quadrature Contents: 3.6.6 Gauss-Kronrod Quadrature3.6.7 Clenshaw-Curtis Quadrature; 3.7 Methods for Numerical Statistics; 3.7.1 Stochastic and Probabilistic Collocation Methods; 3.7.2 Polynomial Chaos Expansion; 3.7.3 Polynomial Chaos Projection; 3.7.4 Polynomial Chaos Projection-Regression; 3.7.5 Practical Aspects of Spectral Expansion of Random Processes; 3.7.6 Legendre Polynomials; 3.7.7 Hermite Polynomials; 3.7.8 Laguerre Polynomials; 3.7.9 Padè-Legendre Polynomials; 3.7.10 1-D Formulation; 3.7.11 N-D Formulation; 3.7.12 Uncertainty Propagation Using Adaptive Piecewise Polynomial Approximation
CONTENTS NOTE
Text of Note
Introduction --Chapter 1. Manufacturing/in Service Uncertainty and Impact on Life and Performance of Gas Turbines/Aircraft Engines --Chapter 2. Why Uncertainty Quantification in CFD? The Matrix of Knowledge --Chapter 3. Mathematical Formulation --Chapter 4. Uncertainty Quantification Applied to Gas Turbine Components --Chapter 5. Future developments.
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SUMMARY OR ABSTRACT
Text of Note
This book introduces design techniques developed to increase the safety of aircraft engines, and demonstrates how the application of stochastic methods can overcome problems in the accurate prediction of engine lift caused by manufacturing error. This in turn addresses the issue of achieving required safety margins when hampered by limits in current design and manufacturing methods. The authors show that avoiding the potential catastrophe generated by the failure of an aircraft engine relies on the prediction of the correct behaviour of microscopic imperfections. This book shows how to quantify the possibility of such failure, and that it is possible to design components that are inherently less risky and more reliable. This new, updated and significantly expanded edition gives an introduction to engine reliability and safety to contextualise this important issue, evaluates newly-proposed methods for uncertainty quantification as applied to jet engines. Uncertainty Quantification in Computational Fluid Dynamics and Aircraft Engines will be of use to gas turbine manufacturers and designers as well as CFD practitioners, specialists and researchers. Graduate and final year undergraduate students in aerospace or mathematical engineering may also find it of interest.