Research

I am interested in Applied Mathematics, Computational Fluid Dynamics and Uncertainty Quantification. My current research interest is focused on bayesian inference methods for stochastic inverse problems and model calibration, with application to fluid mechanics. Previously, my Ph.D. work consisted in the development of a stochastic spectral method to propagate data uncertainty into hyperbolic models. I have also worked on multiresolution analysis for mesh adaptation.

PhD Thesis
Adaptive stochastic Galerkin methods for parametric uncertainty propagation in hyperbolic systems. Advisors: A. Ern, CERMICS, Ecole des Ponts ParisTech, O. Le Maître, LIMSI, CNRS.
Scholarship of Ecole des Ponts ParisTech. Defended on November 21st, 2011.

Key words : Uncertainty Quantification, hyperbolic systems, conservation laws, stochastic spectral methods, Galerkin projection, Finite Volumes, Roe solver, entropy correction, adaptive anisotropic discretization, multiresolution analysis

International publications

• Bayesian-based method with metamodels for rebuilding free stream conditions in atmospheric entry flows, J. Tryoen, P.M. Congedo, R. Abgrall, N. Villedieu, and T.E. Magin, submitted to AIAA Journal.
• Adaptive anisotropic spectral stochastic methods for uncertain conservation laws, J. Tryoen, O. Le Maître, and A. Ern, SIAM J. Sci. Comput., 34(5): A2459-A2481, 2012.
• Roe Solver with Entropy Corrector for Uncertain Hyberbolic Systems, J. Tryoen, O. Le Maître, M. Ndjinga, and A. Ern, J. Comp. Appl. Math., 235(2): 491-506, 2010.
• Intrusive Galerkin Methods with Upwinding for Uncertain Nonlinear Hyperbolic Systems, J. Tryoen, O. Le Maître, M. Ndjinga, and A. Ern, J. Comp. Phys., 229(18): 6485-6511, 2010.

Proceedings

• Characterization of the freestream conditions in the VKI Longshot facility, J. Tryoen, P.M. Congedo, and T.E. Magin, Eurotherm Seminar n°96, Brussels, Belgium, 2013.

• Construction d'un modèle thermodynamique fiable et robuste pour les mélanges liquide-vapeur, M.-G. Rodio, J. Tryoen, and P.M. Congedo, Congrès Français de Mécanique, Bordeaux, France, 2013.

• Sensitivity analysis and characterization of the uncertain input data for the EXPERT vehicle, J. Tryoen, P.M. Congedo, R. Abgrall, N. Villedieu, and T.E. Magin, Proceedings of the 51st AIAA Aerospace Sciences Meeting, Grapevine, Texas, 2013.

• Adaptive anisotropic stochastic discretization scheme for uncertain conservation laws, J. Tryoen, O. Le Maître, and A. Ern, Proceedings of the ASME 2010 3rd Joint US-European Fluids Engineering Summer Meeting, Montreal, CA, 2010.