Publications

Selected publications

Journal Articles

2023

  1. Nasser, A.-A., Madec, G., de Lavergne, C., Debreu, L., Lemarié, F., & Blayo, E.. “Sliding or stumbling on the staircase: numerics of ocean circulation along piecewise-constant coastlines.” Journal of Advances in Modeling Earth Systems, 15(5), e2022MS003594.
  2. Petton, S., Garnier, V., Caillaud, M., Debreu, L., & Dumas, F.. “Using the two-way nesting technique AGRIF with MARS3D V11.2 to improve hydrodynamics and estimate environmental indicators.” Geoscientific Model Development, 16(4), 1191–1211.

2022

  1. Marchesiello, P., Chauchat, J., Shafiei, H., Almar, R., Benshila, R., Dumas, F., & Debreu, L.. “3D wave-resolving simulation of sandbar migration.” Ocean Modelling, 180, 102127.
  2. Debreu, L., Kevlahan, N., & Marchesiello, P.. “Improved Gulf Stream separation through Brinkman penalization.” Ocean Modelling, 179, 102121.
  3. Brachet, M., Debreu, L., & Eldred, C.. “Comparaison of Exponential integrators and traditional time integration schemes for the Shallow Water equations.” Applied Numerical Mathematics, 180, 55–84.
  4. Petton, S., Garnier, V., Caillaud, M., Debreu, L., & Dumas, F.. “Using the two-way nesting technique AGRIF with MARS3D V11.2 to improvehydrodynamics and estimate environmental indicators.” Geoscientific Model Development, 16(4), 1191–1211.

2021

  1. Auclair, F., Debreu, L., Duval, E., Hilt, M., Marchesiello, P., Blayo, E., Dumas, F., & Morel, Y.. “Theory and analysis of acoustic-gravity waves in a free-surface compressible and stratified ocean.” Ocean Modelling, 168, 1–20.
  2. Marchesiello, P., Auclair, F., Debreu, L., Mcwilliams, J. C., Almar, R., Benshila, R., & Dumas, F.. “Tridimensional nonhydrostatic transient rip currents in a wave-resolving model.” Ocean Modelling, 163, 101816.
  3. Dembele, S. P., Bellatreche, L., Ordonez, C., Gmati, N., Roche, M., Nguyen-Huu, T., & Debreu, L.. “Big Steps Towards Query Eco-Processing - Thinking Smart.” Revue Africaine De Recherche En Informatique Et Mathématiques Appliquées, Volume 34 - 2020 - Special Issue CARI 2020(34), 6767.
    Soumission à Episciences
  4. Trappler, V., Arnaud, É., Vidard, A., & Debreu, L.. “Robust calibration of numerical models based on relative regret.” Journal of Computational Physics, 426, 109952:1–19.

2020

  1. Hilt, M., Roblou, L., Nguyen, C., Marchesiello, P., Lemarié, F., Jullien, S., Dumas, F., Debreu, L., Capet, X., Bordois, L., Benshila, R., & Auclair, F.. “Numerical modeling of hydraulic control, solitary waves and primary instabilities in the Strait of Gibraltar.” Ocean Modelling, 155, 101642.
  2. Debreu, L., Kevlahan, N. K.-R., & Marchesiello, P.. “Brinkman volume penalization for bathymetry in three-dimensional ocean models.” Ocean Modelling, 145, 1–13.

2019

  1. Demange, J., Debreu, L., Marchesiello, P., Lemarié, F., Blayo, E., & Eldred, C.. “Stability analysis of split-explicit free surface ocean models: implication of the depth-independent barotropic mode approximation.” Journal of Computational Physics, 398(108875), 1–26.
  2. Lemarié, F., Burchard, H., Debreu, L., Klingbeil, K., & Sainte-Marie, J.. “Advancing dynamical cores of oceanic models across all scales.” Bulletin of the American Meteorological Society, 100, ES109–ES115.

2018

  1. Klingbeil, K., Lemarié, F., Debreu, L., & Burchard, H.. “The numerics of hydrostatic structured-grid coastal ocean models: state of the art and future perspectives.” Ocean Modelling, 125, 80–105.

2016

  1. Soufflet, Y., Marchesiello, P., Lemarié, F., Jouanno, J., Capet, X., Debreu, L., & Benshila, R.. “On effective resolution in ocean models.” Ocean Modelling, 98, 36–50.
  2. Debreu, L., Neveu, E., Simon, E., Le Dimet, F.-X., & Vidard, A.. “Multigrid solvers and multigrid preconditioners for the solution of variational data assimilation problems.” Quarterly Journal of the Royal Meteorological Society, 142(694), 515–528.

2015

  1. Lemarié, F., Blayo, E., & Debreu, L.. “Analysis of ocean-atmosphere coupling algorithms : consistency and stability.” Procedia Computer Science, 51, 2066–2075.
  2. Lemarié, F., Debreu, L., Madec, G., Demange, J., Molines, J.-M., & Honnorat, M.. “Stability constraints for oceanic numerical models: implications for the formulation of time and space discretizations.” Ocean Modelling, 92, 124–148.

2014

  1. Talandier, C., Deshayes, J., Tréguier, A.-M., Capet, X., Benshila, R., Debreu, L., Dussin, R., Molines, J.-M., & Madec, G.. “Improvements of simulated Western North Atlantic current system and impacts on the AMOC.” Ocean Modelling, 79, 1–19.
  2. Djath, N., Mélet, A., Verron, J., Molines, J.-M., Barnier, B., Gourdeau, L., & Debreu, L.. “A 1/36 degrees model of the Solomon Sea embedded into a global ocean model: on the setting up of an interactive open boundary nested model system.” Journal of Operational Oceanography, 7(1), 34–46.

2013

  1. Lemarié, F., Debreu, L., & Blayo, E.. “Toward an Optimized Global-in-Time Schwarz Algorithm for Diffusion Equations with Discontinuous and Spatially Variable Coefficients, Part 1: The Constant Coefficients Case.” Electronic Transactions on Numerical Analysis, 40, 148–169.
    HAL
  2. Lemarié, F., Debreu, L., & Blayo, E.. “Toward an Optimized Global-in-Time Schwarz Algorithm for Diffusion Equations with Discontinuous and Spatially Variable Coefficients, Part 2: the Variable Coefficients Case.” Electronic Transactions on Numerical Analysis, 40, 170–186.
    HAL

2012

  1. Lemarié, F., Debreu, L., Shchepetkin, A., & Mcwilliams, J.. “On the Stability and Accuracy of the Harmonic and Biharmonic Isoneutral Mixing Operators in Ocean Models.” Ocean Modelling, 52-53, 9–35.
  2. Debreu, L., Marchesiello, P., Penven, P., & Cambon, G.. “Two-way nesting in split-explicit ocean models: Algorithms, implementation and validation.” Ocean Modelling, 49-50, 1–21.

2011

  1. Neveu, E., Debreu, L., & Le Dimet, F.-X.. “Multigrid methods and data assimilation – Convergence study and first experiments on non-linear equations.” Revue Africaine De Recherche En Informatique Et Mathématiques Appliquées, Volume 14 - 2011 - Special issue CARI’10, 63–80.
  2. Simon, E., Debreu, L., & Blayo, E.. “4D Variational Data Assimilation for Locally Nested Models : complementary theoretical aspects and application to a 2D shallow water model.” International Journal for Numerical Methods in Fluids, 66(2), 135–161.

2009

  1. Marchesiello, P., Debreu, L., & Couvelard, X.. “Spurious diapycnal mixing in terrain-following coordinate models: The problem and a solution.” Ocean Modelling, 26(3-4), 156–169.

2008

  1. Debreu, L., & Blayo, E.. “Two-way embedding algorithms: a review.” Ocean Dynamics, 58(5-6), 415–428.
  2. Chanut, J., Barnier, B., Large, W., Debreu, L., Penduff, T., Molines, J.-M., & Mathiot, P.. “Mesoscale Eddies in the Labrador Sea and Their Contribution to Convection and Restratification.” Journal of Physical Oceanography, 38(8), 1617–1643.
  3. Penven, P., Marchesiello, P., Debreu, L., & Lefèvre, J.. “Software tools for pre- and post-processing of oceanic regional simulations.” Environmental Modelling and Software, 23(5), 660–662.
  4. Debreu, L., Vouland, C., & Blayo, E.. “AGRIF: Adaptive Grid Refinement in Fortran.” Computers & Geosciences, 34(1), 8–13.
  5. Jouanno, J., Sheinbaum, J., Barnier, B., Molines, J.-M., Debreu, L., & Lemarié, F.. “The mesoscale variability in the Caribbean Sea. Part I: Simulations and characteristics with an embedded model.” Ocean Modelling, 23(3-4), 82–101.
  6. Cailleau, S., Fedorenko, V., Barnier, B., Blayo, E., & Debreu, L.. “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(1-2), 1–16.

2006

  1. Ngnepieba, P. D., Hussaini, M. Y., & Debreu, L.. “Optimal Control and Stochastic Parameter Estimation.” Monte Carlo Methods and Applications, 12(5/6), 461–476.
  2. Penven, P., Debreu, L., Marchesiello, P., & Mcwilliams, J. C.. “Evaluation and application of the ROMS 1-way embedding procedure to the central california upwelling system.” Ocean Modelling, 12, 157–187.

2005

  1. Blayo, E., & Debreu, L.. “Revisiting open boundary conditions from the point of view of characteristic variables.” Ocean Modelling, 9(3), 231–252.

2000

  1. Blayo, E., Debreu, L., Mounié, G., & Trystram, D.. “Dynamic Load Balancing for Adaptive Mesh Ocean Circulation Model.” Engineering Simulations, 22(2), 8–24.
    HAL

1999

  1. Blayo, E., & Debreu, L.. “Adaptive mesh refinement for finite-difference ocean models: First experiments.” Journal of Physical Oceanography, 29(6), 1239–1250.

1998

  1. Debreu, L., & Blayo, E.. “On the Schwarz alternating method for ocean models on parallel computers.” Journal of Computational Physics, 141(2), 93–111.

1987

  1. Choffray, J.-M., & Debreu, S.. “MacStorming: système expérimental de gestion du processus créatif.” Recherche Et Applications En Marketing (French Edition), 2(3), 81–101.
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Conference Articles

2022

  1. Lemarié, F., Ducousso, N., Debreu, L., & Madec, G.. “Stability and accuracy of Runge-Kutta based split-explicit time-stepping algorithms for free-surface ocean models.” EGU 2022 - General Assembly on European Geosciences Union, 1–6.
    HAL

2020

  1. Lemarié, F., Demange, J., Debreu, L., Ducousso, N., & Marchesiello, P.. “Numerical representation of internal gravity waves propagation.” COMMODRE 2020 - 2nd COMMODORE Workshop.
    HAL

2018

  1. Auclair, F., & Debreu, L.. “A non-hydrostatic non Boussinesq algorithm for free surface ocean modelling.” COMMODORE 2018 - Community for the Numerical Modeling of the Global, Regional and Coastal Ocean.
    HAL
  2. Auclair, F., Benshila, R., Debreu, L., Ducousso, N., Dumas, F., Marchesiello, P., & Lemarié, F.. “Some Recent Developments around the CROCO Initiative for Complex Regional to Coastal Modeling.” COMOD 2018 - Workshop on Coastal Ocean Modelling, 1–47.
    HAL

2017

  1. Debreu, L.. “3D numerical ocean modelling. Recent developments of the CROCO modeltowards high resolution simulations.” Numerical Advances on Wave Propagation in Shallow Waters.
    HAL
  2. Debreu, L.. “Open challenges in 3D numerical ocean modelling.” An Overview on Free Surface Flows.
    HAL
  3. Lemarié, F., Debreu, L., Demange, J., Blayo, E., & Marchesiello, P.. “Stability analysis of split-explicit oceanic models.” 2017 - Mathematics of the Weather Workshop.
    HAL
  4. Debreu, L.. “Some recent developments of ocean models: numerical choices and computational performance.” International Conference on Scientific Computation and Differential Equations.
    HAL

2016

  1. Lemarié, F., Burchard, H., Klingbeil, K., & Debreu, L.. “A Multi-Process Test Case to Perform Comparative Analysis of Coastal Oceanic Models .” AGU Fall Meeting.
    HAL
  2. Debreu, L.. “Block Structured mesh refinement in the CROCO ocean model.” American Geophysical Union, Fall General Assembly 2016.
    HAL
  3. Lemarié, F., & Debreu, L.. “A compact high-order coupled time and space discretization to represent vertical transport in oceanic models.” Joint Numerical Sea Modelling Group Conference.
    HAL
  4. Debreu, L., Auclair, F., Benshila, R., Capet, X., Dumas, F., Jullien, S., & Marchesiello, P.. “Multiresolution in CROCO (Coastal and Regional Ocean Community model).” EGU General Assembly 2016.
    HAL

2015

  1. Lemarié, F., & Debreu, L.. “Improving vertical advection in oceanic modeling.” Partial Differential Equations on the Sphere Workshop.
    HAL
  2. Lemarié, F., Blayo, E., & Debreu, L.. “Analysis of ocean-atmosphere coupling algorithms: consistency and stability issues.” 15th International Conference on Computational Sciences, 51, 2066–2075.

2014

  1. Debreu, L., Lemarié, F., & Blayo, E.. “Schwarz waveform relaxation for heterogeneous cluster computing and applications.” 43th SPEEDUP Workshop on High-Performance Computing.
    HAL
  2. Debreu, L., Lemarié, F., & Marchesiello, P.. “Numerical delicacies associated with the use of isoneutral mixing operators in ocean models.” The Workshop on Partial Differential Equations on the Sphere.
    HAL
  3. Lemarié, F., Debreu, L., Madec, G., Honnorat, M., & Molines, J.-M.. “Stability constraints for oceanic numerical models: implications for the formulation of space-time discretizations.” 2014 AGU Ocean Sciences Meeting.
    HAL
  4. Ducousso, N., Le Sommer, J., Molines, J.-M., Madec, G., Debreu, L., & Lemarié, F.. “Caveats in using the EEN momentum advection scheme: illustration with idealized experiments and sensitivity of ORCA025 solutions.” DRAKKAR/MYOCEAN 2014 Annual Workshop.
    HAL

2013

  1. Vidard, A., Debreu, L., & Neveu, E.. “Multi Resolution Variational Data Assimilation Schemes With Application to a Realistic Ocean Model.” Sixth WMO Symposium on Data Assimilation.
    HAL
  2. Debreu, L.. “Schwarz waveform relaxation for heterogeneous cluster computing: Application to numerical weather prediction.” DD22 - 22nd International Conference on Domain Decomposition Methods - 2013.
    HAL
  3. Vidard, A., Debreu, L., & Neveu, E.. “Multi resolution variational data assimilation system for the ocean.” EGU 2013 - European Geosciences Union General Assembly 2013.
    HAL
  4. Lemarié, F., Debreu, L., & Marchesiello, P.. “Numerical delicacies associated with the use of isoneutral mixing operators in ocean models.” European Geosciences Union General Assembly 2013.
    HAL

2012

  1. Blayo, E., Debreu, L., & Lemarié, F.. “Interface conditions and domain decomposition methods for ocean-atmosphere coupling.” DD 21 - 21st International Conference on Domain Decomposition Methods - 2012.
    HAL

2011

  1. Verron, J., Brasseur, P., Brankart, J.-M., Cosme, E., Blayo, E., Debreu, L., & Vidard, A.. “Assimilation of SARAL/AltiKa data for physical ocean prediction and ecosystem monitoring.” Second SARAL/AltiKa Science Workshop.
    HAL
  2. Lemarié, F., Debreu, L., & Blayo, E.. “Optimized Schwarz Methods in the Context of Ocean-Atmosphere Coupling.” DD 20 - 20th International Conference on Domain Decomposition Methods.
    HAL

2010

  1. Neveu, E., Debreu, L., & Le Dimet, F.-X.. “Méthodes multigrilles pour le 4D-VAR.” Colloque National Sur l’Assimilation De Données.
    HAL
  2. Neveu, E., Debreu, L., & Le Dimet, F.-X.. “Multigrid methods and data assimilation applied to a linear advection equation.” CARI’10 - African Conference on Research in Computer Science and Applied Mathematics.
    HAL

2009

  1. Simon, E., Debreu, L., & Blayo, E.. “4D-Variational data assimilation for locally nested numerical models.” European Geophysical Union General Assembly 2009.
    HAL
  2. Lemarié, F., Debreu, L., & Blayo, E.. “Vers un algorithme mathématiquement et physiquement consistant pour le couplage océan-atmosphère.” Ateliers De Modélisation De l’Atmosphère.
    HAL

2008

  1. Simon, E., Blayo, E., & Debreu, L.. “4D-Variational data assimilation for locally nested numerical models.” GODAE Final Symposium.
    HAL
  2. Lemarié, F., Debreu, L., & Blayo, E.. “Optimized Schwarz methods in the context of ocean-atmosphere coupling.” ESCO 2008 - European Seminar on Coupled Problems.
    HAL

2007

  1. Lemarié, F., & Debreu, L.. “NEMO/AGRIF, theoretical and practical aspects.” Workshop on the DRAKKAR Global Ocean Model at 1/4\Textdegree Resolution.
    HAL
  2. Debreu, L.. “Two-way nesting.” Workshop on Numerical Methods in Ocean Models.
    HAL
  3. Lemarié, F., Debreu, L., & Blayo, E.. “Méthodes mathématiques et numériques pour le couplage océan-atmosphère à échelle régionale.” SMAI 2007 - 3e Congrès National De Mathématiques Appliquées Et Industrielles.
    HAL
  4. Blayo, E., Debreu, L., Dumas, F., Garnier, V., Marin, J., Robert, C., & Vandermeirsch, F.. “Investigation of 2-D and 3-D characteristic-based open boundary conditions for regional ocean models.” European Geophysical Union General Assembly.
    HAL

2006

  1. Blayo, E., Debreu, L., Dumas, F., Garnier, V., Marin, J., Robert, C., & Vandermeirsch, F.. “Investigation of 2-D and 3-D characteristic open boundary conditions for regional ocean models.” Coastal Operational Oceanography Conference.
    HAL
  2. Simon, E., Debreu, L., & Blayo, E.. “Assimilation de données variationnelle pour des modèles multi-grilles.” Colloque National Sur l’Assimilation De Données.
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  3. Simon, E., Debreu, L., & Blayo, E.. “Assimilation de données variationnelle pour des modèles multi-échelles.” Colloque National Sur l’Assimilation De Données.
    HAL
  4. Parrenin, F., Blayo, E., Debreu, L., Le Dimet, F.-X., Gagliardini, O., Jouzel, J., Legrésy, B., Monnier, J., Rémy, F., Ritz, C., & Sa, M.. “Conjonction de modèles de données pour l’étude des calottes polaires.” Colloque National Sur l’Assimilation De Données.
    HAL
  5. Simon, E., Debreu, L., & Blayo, E.. “4D variational data assimilation for locally nested models.” European Geophysical Union General Assembly.
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1999

  1. Blayo, E., Debreu, L., Mounié, G., & Trystram, D.. “Dynamic Load Balancing for Ocean Circulation Model with Adaptive Meshing.” In P. Amestoy, P. Berger, M. Daydé, I. Duff, V. Frayssé, L. Giraud, & D. Ruiz (Eds.), Euro-Par’ 99 Parallel Processing - 5th International Euro-Par Conference (Vol. 1685, pp. 303–312). Springer Verlag.

Miscellaneous

2022

  1. Trappler, V., Arnaud, É., Debreu, L., & Vidard, A.. Regret-based calibration using GPs. Journées CIROQUO 2022.
    Poster
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2020

  1. Hilt, M., Roblou, L., Nguyen, C., Marchesiello, P., Lemarié, F., Jullien, S., Dumas, F., Debreu, L., Capet, X., Bordois, L., Benshila, R., & Auclair, F.. LES Modelling of the Impact of the Topography on Large-scale Exchange Flow in the Strait of Gibraltar. Ocean Sciences Meeting 2020.
    Poster
    HAL

2019

  1. Lemarié, F., Burchard, H., Klingbeil, K., & Debreu, L.. Challenges and prospects for dynamical cores of oceanic models across all scales. PDEs on the sphere.
    Poster
    HAL

Unpublished

2022

  1. Bhatt, R., Debreu, L., & Vidard, A.. Introducing time parallelisation within data assimilation using parareal method.
    working paper or preprint
    HAL

2019

  1. Debreu, L., & Kazantsev, E.. Optimal control of grids and schemes for the inertial gravity waves equation.
    working paper or preprint
    HAL

Theses

2015

  1. Debreu, L.. Numerical modelling of the oceanic circulation [Habilitation à diriger des recherches, Université Grenoble Alpes].
    HAL

Technical Reports

2014

  1. Lemarié, F., Marchesiello, P., Debreu, L., & Blayo, E.. Sensitivity of Ocean-Atmosphere Coupled Models to the Coupling Method : Example of Tropical Cyclone Erica. INRIA Grenoble ; INRIA.
    HAL
  2. Demange, J., Debreu, L., Marchesiello, P., Lemarié, F., & Blayo, E.. Numerical representation of internal waves propagation. INRIA.
    HAL
  3. Demange, J., Debreu, L., Marchesiello, P., Lemarié, F., & Blayo, E.. On the use of a depth-dependent barotropic mode in ocean models: impact on the stability of the coupled barotropic/baroclinic system. INRIA.
    HAL

2011

  1. Debreu, L., Simon, E., & Blayo, E.. 4D variational data assimilation for locally nested models: optimality system and preliminary experiments. INRIA.
    HAL

2008

  1. Lemarié, F., Debreu, L., & Blayo, E.. Optimized global-in-time Schwarz algorithm for diffusion equations with discontinuous and spatially variable coefficients. INRIA.
    HAL

2002

  1. Debreu, L., & Blayo, E.. AGRIF: Adaptive Grid Refinement In Fortran. INRIA.
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Book Chapters

2014

  1. Debreu, L., Neveu, E., Le Dimet, F. X., & Simon, E.. “Multigrid algorithms and local mesh refinement methods in the context of variational data assimilation.” In E. Blayo, M. Bocquet, E. Cosme, & F. C. Leticia (Eds.), Advanced Data Assimilation for Geosciences: Lecture Notes of the Les Houches School of Physics: Special Issue, June 2012 (p. 576). Oxford University Press.

2013

  1. Lemarié, F., Debreu, L., & Blayo, E.. “Optimal control of the convergence rate of Global-in-time Schwarz algorithms.” In Bank, R., Holst, M., Widlund, O., Xu, & J. (Eds.), Domain Decomposition Methods in Science and Engineering XX (pp. 599–606). Springer-Verlag Berlin Heidelberg.

2006

  1. Blayo, E., & Debreu, L.. “Nesting ocean models.” In E. P. Chassignet & J. Verron (Eds.), An Integrated View of Oceanography: Ocean Weather Forecasting in the 21st Century. Kluwer.

2005

  1. Debreu, L., Blayo, E., & Barnier, B.. “A general adaptive multi-resolution approach to ocean modelling: experiments in a primitive equation model of the North Atlantic.” In T. Plewa, T. Linde, & V. G. Weirs (Eds.), Adaptive Mesh Refinement - Theory and Applications (Vol. 41, pp. 303–313). Springer.