Uncertainty Quantification in Computational Fluid Dynamics

✍ Scribed by Timothy Barth (auth.), Hester Bijl, Didier Lucor, Siddhartha Mishra, Christoph Schwab (eds.)

Publisher: Springer International Publishing
Year: 2013
Tongue: English
Leaves: 347
Series: Lecture Notes in Computational Science and Engineering 92
Edition: 1
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

Fluid flows are characterized by uncertain inputs such as random initial data, material and flux coefficients, and boundary conditions. The current volume addresses the pertinent issue of efficiently computing the flow uncertainty, given this initial randomness. It collects seven original review articles that cover improved versions of the Monte Carlo method (the so-called multi-level Monte Carlo method (MLMC)), moment-based stochastic Galerkin methods and modified versions of the stochastic collocation methods that use adaptive stencil selection of the ENO-WENO type in both physical and stochastic space. The methods are also complemented by concrete applications such as flows around aerofoils and rockets, problems of aeroelasticity (fluid-structure interactions), and shallow water flows for propagating water waves. The wealth of numerical examples provide evidence on the suitability of each proposed method as well as comparisons of different approaches.

✦ Table of Contents

Front Matter....Pages i-xi
Non-intrusive Uncertainty Propagation with Error Bounds for Conservation Laws Containing Discontinuities....Pages 1-57
Uncertainty Quantification in Aeroelasticity....Pages 59-103
Robust Uncertainty Propagation in Systems of Conservation Laws with the Entropy Closure Method....Pages 105-149
Adaptive Uncertainty Quantification for Computational Fluid Dynamics....Pages 151-191
Implementation of Intrusive Polynomial Chaos in CFD Codes and Application to 3D Navier-Stokes....Pages 193-223
Multi-level Monte Carlo Finite Volume Methods for Uncertainty Quantification in Nonlinear Systems of Balance Laws....Pages 225-294
Essentially Non-oscillatory Stencil Selection and Subcell Resolution in Uncertainty Quantification....Pages 295-333
Back Matter....Pages 335-341

✦ Subjects

Computational Mathematics and Numerical Analysis;Computational Science and Engineering;Appl.Mathematics/Computational Methods of Engineering;Aerospace Technology and Astronautics;Numerical and Computational Physics

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