Eric Blayo

Professeur en Mathématiques Appliquées
Professor in Applied Mathematics

Laboratoire Jean Kuntzmann
Université Joseph Fourier, Grenoble

Address:Laboratoire Jean Kuntzmann
 Bâtiment IMAG
700 avenue centrale
38401 Domaine Universitaire de Saint Martin d'Hères
France
Bureau :     186
Phone:     +33 (0)4 57 42 17 11
E-mail: Eric (.) Blayo (at) imag (.) fr


Recherche / Research


Membre de l'équipe AIRSEA au LJK et à l'INRIA / Member of the AIRSEA team at LJK and INRIA

Thèmes de recherche

Research topics

puce Modélisation numérique de l'océan et l'atmosphère: conditions de frontière ouverte, méthodes multi-échelles, couplage de modèles
Numerical modeling of the ocean and of the atmosphere: open boundary conditions, multiscale methods, coupling methods

puce Assimilation de données: méthodes variationnelles en contexte non-linéaire
Data assimilation: variational methods for nonlinear systems

puce Analyse de sensibilité: approche variationnelle vs approche stochastique
Sensitivity analysis: variational approach vs stochastic approach


logo lefe Président du conseil scientifique du programme LEFE-MANU (méthodes MAthématiques et NUmériques pour l'océan et l'atmosphère
Head of the LEFE-MANU program (MAthematical and NUmerical methods for the ocean and the atmosphere)

Projets de recherche

Research projects

puce ANR HEAT (2014-2019) (PI: Thomas Dubos)

puce ANR COMODO (2011-2015) (PI: Laurent Debreu)

puce ANR COSTA-BRAVA (2010-2013) (PI: Fabrice Gamboa)

puce ANR ADAGe (2009-2013) (PI: Olivier Gagliardini)

puce ANR VODA (2008-2012) (PI: Arthur Vidard)

puce ANR COMMA (2006-2010) (PI: Georges-Henri Cottet )


Publications récentes

Recent publications

Blayo E. and A. Rousseau, 2015: About interface conditions for coupling hydrostatic and nonhydrostatic Navier-Stokes flows. Discrete and Continous Dynamical Systems - Series S, to appear.

Lemarié F., E. Blayo and L. Debreu, 2015: Analysis of ocean-atmosphere coupling algorithms: consistency and stability issues. Procedia Computer Science, to appear.

Blayo E., D. Cherel and A. Rousseau, 2015: Towards optimized Schwarz methods for the Navier-Stokes equations. Int. J. Sci. Comput., to appear.

Blayo E., M. Bocquet, E. Cosme and L. Cugliandolo (Eds.), 2014: Advanced data assimilation for geosciences. Oxford University Press.

Tayachi M., A. Rousseau, E. Blayo, N. Goutal and V. Martin, 2014: Design and analysis of a Schwarz coupling method for a dimensionally heterogeneous problem. Int. J. Num. Meth. Fluids, 75, 446-465.

Veres D., L. Bazin, A. Landais, B. Lemieux-Dudon, F. Parrenin, P. Martinerie, H. Toye Mahamadou Kele, E. Blayo, T. Blunier, E. Capron, J. Chappellaz, S.O. Rasmussen, M. Severi, A. Svensson, B. Vinther and E.W. Wolff, 2013: The Antarctic ice core chronology (AICC2012): an optimized multi-parameter and multisite dating approach for the last 120 thousand years.   Climate of the Past, 9, 1733-1748.

Martin V. and E. Blayo, 2013: Building generalized open boundary conditions for fluid dynamics problems. Int. J. Num. Meth. Fluids.,71, 506-521.

Lemarié F., L. Debreu and E. Blayo, 2013: Optimal control of the convergence rate of Schwarz waveform relaxation algorithms.   In Domain Decomposition Methods in Science and Engineering XVI, Lecture Notes in Computational Science and Engineering, Vol. 91, p599-606 ed. by R. Bank, M. Holst, O. Widlund and J. Xu, Springer.

Lemarié F., L. Debreu and E. Blayo, 2013: Towards an optimized global-in-time Schwarz algorithm for diffusion equations with discontinuous and spatially variable coefficients. Part 2 : the variable coefficients case. Elec. Trans. Num. Anal., 40, 170-186.

Lemarié F., L. Debreu and E. Blayo, 2013: Towards an optimized global-in-time Schwarz algorithm for diffusion equations with discontinuous and spatially variable coefficients. Part 1 : the constant coefficients case. Elec. Trans. Num. Anal., 40, 148-169.

Simon E., L. Debreu and E. Blayo, 2011: 4D variational data assimilation for locally nested models: complementary theoretical aspects and application to a 2D shallow water model.   Int. J. Num. Meth. Fluids, 66, 135-161.

Krysta M., E. Blayo, E. Cosme  and J. Verron, 2010: A consistent hybrid variational-smoothing data assimilation method: Application to a simple shallow-water model of the turbulent mid-latitude ocean.   Monthly Weather Review, 139, 3333-3347.

Lemieux-Dudon B., E. Blayo, J.-R. Petit, C. Waelbroeck, A. Svensson, C. Ritz, J.-M. Barnola, B. M. Narcisi and F. Parrenin,   2010: Consistent dating for Antarctica and Greenland ice cores.  Quaternary Science Reviews. 29, 8-20.

Nourtier E. and E. Blayo, 2010 : Towards absorbing boundary conditions for the 1-D biharmonic diffusion equation.  Applied Numerical Mathematics, 60, 83-93.

Lemieux B., F. Parrenin and E. Blayo, 2008 : A probabilistic method to construct a common and optimal chronology for an ice core. In Physics of Ice Core Records, Kaori Kidahashi Ed., Hokkaido University Collection of Scholarly and Academic Papers.

Debreu L. and E. Blayo, 2008 : Two-way embedding algorithms: a review.  Ocean Dynamics},  58, 415-428. DOI: 10.1007/s10236-008-0150-9

Cailleau S., V. Fedorenko, B. Barnier, E. Blayo and L. Debreu 2008 : Comparison of different numerical methods used to handle the open boundary of a regional ocean circulation model of the Bay of Biscay.  Ocean Modelling, 25, 1-16, 2008.

Debreu L., C. Vouland and E. Blayo, 2008: AGRIF: Adaptive Grid Refinement in Fortran.  Computers and Geosciences, 34, 8-13. doi:10.1016/j.cageo.2007.01.009

Blayo E.,  L. Halpern and C. Japhet, 2007: Optimized Schwarz waveform relaxation algorithms with nonconforming time discretization  for coupling convection-diffusion problems with discontinuous coefficients.  In Domain Decomposition Methods in Science and Engineering XVI, Lecture Notes in Computational Science and Engineering, Vol. 55, p267-274 ed. by O. Widlund and D. Keyes, Springer.

Blayo E. and L. Debreu, 2006 : Nesting ocean models. In An Integrated View of Oceanography:  Ocean Weather Forecasting in the 21st Century, ed. by E. Chassignet and J. Verron, Kluwer.

Robert C., E. Blayo, and J. Verron, 2006 : Reduced-order 4D-Var: a preconditioner for the full 4D-Var data assimilation method.  Geophys. Res. Lett., 33, L18609, doi:10.1029/2006GL026555

Robert C., E. Blayo, J. Verron, 2006 : Comparison of reduced-order sequential, variational and hybrid data assimilation methods in the context of a Tropical Pacific ocean model. Ocean Dynamics, 56, 624-633.

Robert C., S. Durbiano, E. Blayo, J. Verron, J. Blum, F.-X. Le Dimet and C. Robert,  2005: A reduced order strategy for 4D-Var data assimilation. J. Mar. Syst., 57, 70-82.

Blayo E. and L. Debreu, 2005: Revisiting open boundary conditions from the point of view of characteristic variables. Ocean Modelling, 9, 231-252.

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Enseignement / Teaching


puce Licence 1ere année: MAT126 - Enseignement par APP (apprentissage par problèmes)

puce Master 1ere année : Méthode des éléments finis

puce Master 2ème année Mathématiques, Informatique et Applications, parcours Modélisation et Calcul Scientifique et parcours Géométrie, Image et CAO

puce Cours doctoral d'assimilation de données   (slides)


Ressources

puce Le site Maths en L1gne de Bernard Ycart, une mine de documents pour les Maths en L1 (cours complet, vrai/faux, QCM, exercices, devoirs corrigés, compléments).

puce La bibliothèque d'exercices Exo7 (extraction d'exercices ou de fiches d'exos en tex ou pdf).

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Autres activités / Other activities

puce Ecole des Houches : Advanced Data Assimilation for Geosciences

puce Action MANU du programme inter-organismes LEFE

puce IXXI : Institut des Systèmes Complexes

puce Pôle Grenoblois des Risques Naturels

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