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Backward uncertainty propagation method in flow problems : application to the prediction of rarefaction shock waves

Pietro Marco Congedo 1 Piero Colonna 2 Christophe Eric Corre 3 Jeroen Witteveen 4 Gianluca Iaccarino 4
1 BACCHUS - Parallel tools for Numerical Algorithms and Resolution of essentially Hyperbolic problems
CNRS - Centre National de la Recherche Scientifique : UMR5800, UB - Université de Bordeaux, Inria Bordeaux - Sud-Ouest
2 TU Delft - Delft University of Technology
3 LEGI - Laboratoire des Écoulements Géophysiques et Industriels [Grenoble]
4 Stanford University
Abstract : A computational method for taking into account backward uncertainty propagation in flow problems is presented and applied to the study of rarefaction shock waves (RSW) in a dense-gas shock tube. Previous theoretical and numerical studies have shown that a RSW is relatively weak and that the prediction of its occurrence and intensity are highly sensitive to uncertainties on the initial flow conditions and on the fluid thermodynamic model. The objective of this work is to introduce an innovative, flexible and efficient algorithm combining computational fluid dynamics (CFD), uncertainty quantification (UQ) tools and metamodel-based optimization in order to obtain a reliable estimate for the RSW probability of occurrence and to prescribe the experimental accuracy requirements ensuring the reproducibility of the mea- surements with sufficient confidence.
Keywords : Uncertainty quantification Inverse analysis Polynomial chaos Rarefaction shock wave Dense-gas shock tube
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https://hal.inria.fr/hal-00655373
Contributor : Pietro Marco Congedo <>
Submitted on : Tuesday, July 23, 2019 - 2:09:50 PM
Last modification on : Thursday, February 25, 2021 - 9:46:04 AM

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Pietro Marco Congedo, Piero Colonna, Christophe Eric Corre, Jeroen Witteveen, Gianluca Iaccarino. Backward uncertainty propagation method in flow problems : application to the prediction of rarefaction shock waves. Computer Methods in Applied Mechanics and Engineering, Elsevier, 2012, 213-216, pp.314-326. ⟨10.1016/j.cma.2011.12.009⟩. ⟨hal-00655373⟩

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