Due to rising computing capacities, including and accounting for uncertain (model)
parameters in numerical simulations is becoming more and more popular. Uncertainty
Quantification (UQ) addresses this issue and provides a variety of different mathematical
methods to quantify the influence of uncertain input parameters on numerical solutions and
derived quantities of interest. This thesis is concerned with the development and
improvement of different UQ methods for numerical simulations of compressible flow …

In recent years, the scientific community has displayed increased interest in uncertainty
analysis and management for computational fluid dynamics and its application to risk-based
design methods. Precisely, uncertainty analysis addresses potential deficiencies in any
phase or activity of the modeling process due to a lack of knowledge1, which are of
stochastic nature. Sources of uncertainties may be intrinsically related to the physical
modeling, to the boundary conditions, to discretization and solution errors and to …