Uncertainty Quantification in Computational Fluid Dynamics

  • Hester Bijl
  • Didier Lucor
  • Siddhartha Mishra
  • Christoph Schwab

Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 92)

Table of contents

  1. Front Matter
    Pages i-xi
  2. Philip Beran, Bret Stanford
    Pages 59-103
  3. Richard P. Dwight, Jeroen A. S. Witteveen, Hester Bijl
    Pages 151-191
  4. Chris Lacor, Cristian Dinescu, Charles Hirsch, Sergey Smirnov
    Pages 193-223
  5. Back Matter
    Pages 335-341

About this book


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.


Adaptive stencil selection Computational fluid dynamics Monte Carlo Shock waves Uncertainty quantification

Editors and affiliations

  • Hester Bijl
    • 1
  • Didier Lucor
    • 2
  • Siddhartha Mishra
    • 3
  • Christoph Schwab
    • 4
  1. 1.Faculty of Aerospace EngineeringTU DelftDelftThe Netherlands
  2. 2.d' Alembert Institute-CNRSUniversité Pierre et Marie Curie - Paris VIParisFrance
  3. 3.Seminar für Angewandte MathematikETH ZürichZürichSwitzerland
  4. 4.ETH Zürich Seminar für Angewandte MathematikZürichSwitzerland

Bibliographic information