Section: Overall Objectives

Highlights of the Year

• In the context of the first contract supported by European Space Agency on uncertainty quantification (UQ), we applied some innovative UQ techniques in the challenging issue of predicting phenomena associated to the atmospheric reentry. In particular, we focused on the characterization of free-stream conditions in flight experiments, and the prediction of the radiative heat flux in high enthalpy facilities.

• In 2013 we have organized or contributed to the organization of three international conferences held at Inria or on the applied science campus of the Université de Bordeaux I : the Second ECCOMAS Young Investigators Conference (http://yic2013.sciencesconf.org ), the EUROPEAN WORKSHOP on High Order Nonlinear Numerical Methods for Evolutionary PDEs (http://honom2013.bordeaux.inria.fr/ ), and the International Workshop on Uncertainty Quantification in fluids Simulation (http://boquse2013.bordeaux.inria.fr/ ) ;

• We have finally succeded in proposing Residual Distribution schemes that are uniformly accurate independently of the Reynolds number laminar, and turbulent compressible flow equations, with a stunning convergence to steady state down to machine zero ;

• We have shown the applicability of stabilized finite elements to the simulation of free surface water waves described by Boussinesq modes. We have demonstrated that residual based stabilization operators do not degrade the accuracy of the underlying finite element scheme, and used this to construct non oscillatory schemes for wave propagation, breaking, and runup ;

• We have developed an algorithm for the robust construction of curved simplicial meshes in two and three dimensions. Starting from a classical (straight) mesh, we are able to curve the boundary elements then the volumic ones and keep the boundary layer structures, even for meshes designed for turbulent simulations ;

• We developed a multiresolution strategy applied to a semi-intrusive scheme recently introduced in the context of uncertainty quantification (UQ) analysis for compressible fluids problems. This is one of the first global schemes in literature permitting an adaptive refinement in the coupled physical/stochastic space .

• PaMPA remeshed a coarse mesh of 27 millions of elements up to a fine mesh comprising more than 600 millions of elements, in 34 minutes, on 240 processors of the Avakas cluster at MCIA Bordeaux.

• François Pellegrini published a book on software law ; co-authored with Sébastien Canevet, associate professor at Université de Poitiers.