Eric Blayo

Enseignant-chercheur en Mathématiques Appliquées
Professor in Applied Mathematics
Address:Laboratoire Jean Kuntzmann
 Bâtiment IMAG
150 avenue du torrent
38401 Domaine Universitaire de Saint Martin d'Hères
France
Office:     186
Phone:     +33 (0)4 57 42 17 11
E-mail: Eric (.) Blayo (at) univ-grenoble-alpes (.) fr


Recherche / Research


Membre de l'équipe AIRSEA au LJK et à 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



Projets récents

Recent projects

puce projet MOTIONS (ANR, 2024-2027) (PI: Florian Lemarié)

puce projet MEDIATION (PPR Océan et Climat, 2022-2027) (PI: Laurent Debreu)

puce projet COCOA (ANR, 2017-2021) (PI: Eric Blayo)


Publications récentes

Recent publications

Clément S., F. Lemarié and E. Blayo, 2023: Semi-discrete analysis of a simplified air-sea coupling problem with nonlinear coupling conditions. In Domain Decomposition Methods in Science and Engineering XXVII. Lecture Notes in Computational Science and Engineering, Vol. 149, pp. 141-148, Zdenek Dostál, Tomás Kozubek, Axel Klawonn, Ulrich Langer, Luca F. Pavarino, Jakub Sístek, Olof B. Widlund (Eds.). (pdf)

Nasser A.-A., G. Madec, C. de Lavergne, L. Debreu, F. Lemarié and E. Blayo, 2022: Sliding or stumbling on the staircase: numerics of ocean circulation along piecewise-constant coastlines. Journal of Advances in Modeling Earth Systems, 15, https://doi.org/10.1029/2022MS00359.

Clément S., F. Lemarié and E. Blayo, 2022: Discrete analysis of Schwarz waveform relaxation for a diffusion reaction problem with discontinuous coefficients. SMAI Journal of Computational Mathematics, 8, 99-124, (pdf).

Le Guillou F., N. Lahaye, C. Ubelmann, S. Metref, E. Cosme, A. Ponte, J. Le Sommer, E. Blayo and A. Vidard, 2021: Joint estimation of balanced motions and internal tides from future wide-swath altimetry. Journal of Advances in Modeling Earth Systems, 13, https://doi.org/10.1029/2021MS002613.

Clément S., F. Lemarié and E. Blayo, 2021: Discrete analysis of Schwarz WaveformRelaxation for a simplified air-sea coupling problem with nonlinear transmission conditions. In Domain Decomposition Methods in Science and Engineering XXVI. Lecture Notes in Computational Science and Engineering, Vol. 145, pp. 189-196, ed. by S. C. Brenner, E. T. Shun Chung, A. Klawonn, F. Kwok, J. Xu, J. Zou. (pdf)

Marti O., S. Nguyen, P. Braconnot, S. Valcke, F. Lemarié and E. Blayo, 2021: Diagnosing the ocean-atmosphere coupling schemes by using a mathematically consistent Schwarz iterative method. In Research Activities in Atmospheric and Oceanic Modelling, Working Group on Numerical Experimentation, 51, p9-03, WMO, Geneva, 2021.

Auclair F., L. Debreu, E. Duval, M. Hilt, P. Marchesiello, E. Blayo, F. Dumas and Y. Morel, 2021: Theory and analysis of acoustic-gravity waves in a free-surface compressible and stratified ocean. Ocean Modelling, 168, 101900, https://doi.org/10.1016/j.ocemod.2021.101900.

Thery S., C. Pelletier, F. Lemarié and E. Blayo, 2021: Analysis of Schwarz waveform relaxation for the coupled Ekman boundary layer problem with continuously variable coefficient. Numerical Algorithms, doi 10.1007/s11075-021-01149-y.

Marti O., S. Nguyen, P. Braconnot, S. Valcke, F. Lemarié and E. Blayo, 2021: A Schwarz iterative method to evaluate ocean-atmosphere coupling schemes. Implementation and diagnostics in IPSL-CM6-SW-VLR. Geoscientific Model Development, 14, 2959-2975, https://doi.org/10.5194/gmd-14-2959-2021.

Pelletier C., F. Lemarié, E. Blayo, M.-N. Bouin and J.-L. Redelsperger, 2021: Two-sided turbulent surface layer parameterizations for computing air-sea fluxes. Quart. J. Roy. Meteorol. Soc., 147, 1726-1751, http://dx.doi.org/10.1002/qj.3991.

Demange J., L. Debreu, P. Marchesiello, F. Lemarié, E. Blayo and C. Eldred, 2019: Stability analysis of split-explicit free surface ocean models: implication of the depth-independent barotropic mode approximation. J. Comput. Phys., 398, 108875.

Prieur C., L. Viry, E. Blayo and J.M. Brankart, 2019: A global sensitivity analysis approach for marine biogeochemical modeling. Ocean Model., 139, 101402, https://doi.org/10.1016/j.ocemod.2019.101402

Gross, M., H. Wan, P.J. Rasch, P.M. Caldwell, D.L. Williamson, D. Klocke, C. Jablonowski, D.R. Thatcher, N. Wood, M. Cullen, B. Beare, M. Willett, F. Lemarié, E. Blayo, S. Malardel, P. Termonia, A. Gassmann, P.H. Lauritzen, H. Johansen, C.M. Zarzycki, K. Sakaguchi, and R. Leung, 2018: Physics-dynamics coupling in weather, climate, and Earth system models: challenges and recent progress. Mon. Wea. Rev., 146, 3505-3544, https://doi.org/10.1175/MWR-D-17-0345.1

Pelletier C., F. Lemarié and E. Blayo, 2018: Sensitivity analysis and metamodels for the bulk parametrization of turbulent air-sea fluxes. Quart. J. Roy. Meteorol. Soc., 144, 658-669.

Blayo E., A. Rousseau and M. Tayachi, 2017: Boundary conditions and Schwarz waveform relaxation method for linear viscous Shallow Water equations in hydrodynamics. SMAI J. Comput. Math., 3, 117-137.

Blayo E. and A. Rousseau, 2016: About interface conditions for coupling hydrostatic and nonhydrostatic Navier-Stokes flows. Discrete and Continous Dynamical Systems - Series S, 9, 1565-1674.

Blayo E., D. Cherel and A. Rousseau, 2016: Towards optimized Schwarz methods for the Navier-Stokes equations. Int. J. Sci. Comput., 66, 275-295.

Lemarié F., E. Blayo and L. Debreu, 2015: Analysis of ocean-atmosphere coupling algorithms: consistency and stability issues. Procedia Computer Science, 51, 2066-2075.

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.

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Enseignement / Teaching


puce Licence 1ere année: MAT102 (polycopié de cours), MAT209 (polycopié d'analyse)

puce Ensimag 2A, M1 AM and M1 Physique: PDEs and numerical methods   (course web page) (polycopié de cours)

puce M1 AM: refresher course   (slides on ODEs) (slides on norms and scalar products) (slides on Fourier analysis) (slides on partial differential operators)

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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Médiation scientifique / Outreach

puce Membre de l'association La Grange des Maths. Cette association vise à ''dédramatiser les maths'' au travers d'activités concrètes et ludiques : malettes pédagogiques pour les classes d'école élémentaire et de collège, stand d'activités tout public, Escape game, conférences grand public...

puce Membre de l'association Christian Le Provost océanographe. Cette association organise tous les 2 ans des conférences et événements grand public à Saint Brieuc, à l'occasion de la remise du prix d'océanographie de l'Académie des Sciences.

puce Un article Les modèles de climat dans Maths Express, 2020

puce Un article dans The Conversation en octobre 2018

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