Contributions au traitement des incertitudes en modélisation numérique : propagation d'ondes en milieu aléatoire et analyse statistique d'expériences simulées

Abstract : The present document constitutes my habilitation thesis report. It recalls my scientific activity of the twelve last years, since my PhD thesis until the works completed as a research engineer at CEA Cadarache. The two main chapters of this document correspond to two different research fields both referring to the uncertainty treatment in engineering problems. The first chapter establishes a synthesis of my work on high frequency wave propagation in random medium. It more specifically relates to the study of the statistical fluctuations of acoustic wave traveltimes in random and/or turbulent media. The new results mainly concern the introduction of the velocity field statistical anisotropy in the analytical expressions of the traveltime statistical moments according to those of the velocity field. This work was primarily carried by requirements in geophysics (oil exploration and seismology). The second chapter is concerned by the probabilistic techniques to study the effect of input variables uncertainties in numerical models. My main applications in this chapter relate to the nuclear engineering domain which offers a large variety of uncertainty problems to be treated. First of all, a complete synthesis is carried out on the statistical methods of sensitivity analysis and global exploration of numerical models. The construction and the use of a metamodel (inexpensive mathematical function replacing an expensive computer code) are then illustrated by my work on the Gaussian process model (kriging). Two additional topics are finally approached: the high quantile estimation of a computer code output and the analysis of stochastic computer codes. We conclude this memory with some perspectives about the numerical simulation and the use of predictive models in industry. This context is extremely positive for future researches and application developments.
Document type :
Habilitation à diriger des recherches
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https://tel.archives-ouvertes.fr/tel-00360995
Contributor : Bertrand Iooss <>
Submitted on : Thursday, February 12, 2009 - 6:37:16 PM
Last modification on : Monday, October 1, 2018 - 4:03:26 PM
Long-term archiving on : Tuesday, June 8, 2010 - 6:38:07 PM

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Bertrand Iooss. Contributions au traitement des incertitudes en modélisation numérique : propagation d'ondes en milieu aléatoire et analyse statistique d'expériences simulées. Mathématiques [math]. Université Paul Sabatier - Toulouse III, 2009. ⟨tel-00360995⟩

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