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ODYSSEY - 2025

2025Activity reportProject-Team​​ODYSSEY

RNSR: 202224252V
  • Research​​​‌ center Inria Centre at​ Rennes University
  • In partnership​‌ with:Université de Bretagne​​ Occidentale, Ecole Nationale Supérieure​​​‌ Mines-Télécom Atlantique Bretagne Pays​ de la Loire, Institut​‌ Français de Recherche pour​​ l'Exploitation de la Mer,​​​‌ CNRS, Université de Rennes​
  • Team name: Ocean DYnamicS​‌ obSErvation analYsis
  • In collaboration​​ with:Institut de recherche​​​‌ mathématique de Rennes (IRMAR),​ Laboratoire des sciences et​‌ techniques de l'information, de​​ la communication et de​​​‌ la connaissance, Laboratoire d'océanographie​ physique et spatiale

Creation​‌ of the Project-Team: 2022​​ March 01

Each year,​​​‌ Inria research teams publish​ an Activity Report presenting​‌ their work and results​​ over the reporting period.​​​‌ These reports follow a​ common structure, with some​‌ optional sections depending on​​ the specific team. They​​​‌ typically begin by outlining​ the overall objectives and​‌ research programme, including the​​ main research themes, goals,​​​‌ and methodological approaches. They​ also describe the application​‌ domains targeted by the​​ team, highlighting the scientific​​​‌ or societal contexts in​ which their work is​‌ situated.

The reports then​​ present the highlights of​​​‌ the year, covering major​ scientific achievements, software developments,​‌ or teaching contributions. When​​ relevant, they include sections​​​‌ on software, platforms, and​ open data, detailing the​‌ tools developed and how​​ they are shared. A​​​‌ substantial part is dedicated​ to new results, where​‌ scientific contributions are described​​ in detail, often with​​​‌ subsections specifying participants and​ associated keywords.

Finally, the​‌ Activity Report addresses funding,​​ contracts, partnerships, and collaborations​​​‌ at various levels, from​ industrial agreements to international​‌ cooperations. It also covers​​ dissemination and teaching activities,​​​‌ such as participation in​ scientific events, outreach, and​‌ supervision. The document concludes​​ with a presentation of​​​‌ scientific production, including major​ publications and those produced​‌ during the year.

Keywords​​

Computer Science and Digital​​​‌ Science

  • A3.1. Data
  • A3.1.1.​ Modeling, representation
  • A3.2.3. Inference​‌
  • A3.4. Machine learning and​​ statistics
  • A6.1.1. Continuous Modeling​​​‌ (PDE, ODE)
  • A6.1.2. Stochastic​ Modeling
  • A6.1.4. Multiscale modeling​‌
  • A6.2. Scientific computing, Numerical​​ Analysis & Optimization
  • A6.2.1.​​​‌ Numerical analysis of PDE​ and ODE
  • A6.2.3. Probabilistic​‌ methods
  • A6.2.4. Statistical methods​​
  • A6.3. Computation-data interaction
  • A6.3.1.​​​‌ Inverse problems
  • A6.3.2. Data​ assimilation
  • A6.3.3. Data processing​‌
  • A6.3.4. Model reduction
  • A6.3.5.​​ Uncertainty Quantification
  • A6.4.1. Deterministic​​​‌ control
  • A6.4.2. Stochastic control​
  • A6.5.2. Fluid mechanics
  • A6.5.3.​‌ Transport
  • A6.5.4. Waves
  • A9.2.5.​​ Bayesian methods
  • A9.2.6. Neural​​​‌ networks
  • A9.2.7. Kernel methods​
  • A9.2.8. Deep learning
  • A9.3.​‌ Signal processing

Other Research​​ Topics and Application Domains​​​‌

  • B3.2. Climate and meteorology​
  • B3.3.2. Water: sea &​‌ ocean, lake & river​​
  • B3.3.3. Nearshore
  • B3.3.4. Atmosphere​​​‌

1 Team members, visitors,​ external collaborators

Research Scientists​‌

  • Etienne Memin [Team​​ leader, INRIA,​​​‌ Senior Researcher, HDR​]
  • Bertrand Chapron [​‌Ifremer, HDR]​​
  • Clement De Boyer Montégut​​ [IFREMER, Researcher​​​‌]
  • Quentin Febvre [‌IFREMER, from Apr‌​‌ 2025]
  • Noe Lahaye​​ [INRIA, Researcher​​​‌]
  • Claire Menesguen [‌IFREMER, Researcher]‌​‌
  • Alexis Mouche [IFREMER​​]
  • Frederic Nouguier [​​​‌IFREMER, Researcher]‌
  • Jean-Francois Piolle [IFREMER‌​‌]
  • Aurelien Ponte [​​IFREMER, Researcher]​​​‌
  • Nicolas Reul [IFREMER‌, Researcher]
  • Gilles‌​‌ Tissot [INRIA,​​ Researcher]

Faculty Members​​​‌

  • Xavier Carton [UBO‌, Professor]
  • Lucas‌​‌ Drumetz [IMT ATLANTIQUE​​, Associate Professor]​​​‌
  • Ronan Fablet [IMT‌ ATLANTIQUE, Professor]‌​‌
  • Carlos Granero Belinchon [​​IMT ATLANTIQUE, Professor​​​‌]
  • Jonathan Gula [‌UBO, Associate Professor‌​‌]
  • Roger Lewandowski [​​UNIV RENNES, Professor​​​‌, HDR]
  • Said‌ Ouala [IMT ATLANTIQUE‌​‌, Associate Professor]​​
  • Guillaume Roullet [UBO​​​‌, Professor]
  • Pierre‌ Tandeo [IMT ATLANTIQUE‌​‌, Associate Professor]​​

Post-Doctoral Fellows

  • William Antolin​​​‌ [INRAE Rennes]‌
  • Ariane Barlet [INRIA‌​‌, Post-Doctoral Fellow]​​
  • Perrine Bauchot [IMT​​​‌ Atlantique]
  • Simon Benaichouche‌ [INRIA, Post-Doctoral‌​‌ Fellow]
  • Eugenio Cutolo​​ [IMT Atlantique]​​​‌
  • Solène Dealbera [IMT‌ Atlantique & SHOM]‌​‌
  • Erwan Le Roux [​​IMT Atlantique]
  • Sophie​​​‌ Mauran [INRIA,‌ Post-Doctoral Fellow, from‌​‌ Sep 2025]
  • Paul​​ Platzer [IMT Atlantique​​​‌]
  • Ezra Rozier [‌INRIA, Post-Doctoral Fellow‌​‌]

PhD Students

  • Adrien​​ Acchiardi [INRIA,​​​‌ from Oct 2025]‌
  • Daria Botvynko [IMT‌​‌ Atlantique]
  • Daria Botvynko​​ [IMT Atlantique &​​​‌ ENIB]
  • Margot Demol‌ [Ifremer]
  • Ewen‌​‌ Frogé [IMT Atlantique​​]
  • Emilio Gonzales [​​​‌IMT Atlantique]
  • Mael‌ Jaouen [INRIA]‌​‌
  • Clément Lacrouts [Ifremer​​]
  • Vincent Mokuenko [​​​‌UBO]
  • Antoine Moneyron‌ [INRIA]
  • Sebastien‌​‌ Moskowitz [INRIA]​​
  • Matteo Nex [INRIA​​​‌]
  • Théo Picard [‌UBO]
  • Tom Protin‌​‌ [Ifremer]
  • Raphael​​ Ravasse [UBO]​​​‌
  • Gaetan Rigaut [INRIA‌]
  • Gwendal Saliou [‌​‌IMT Atlantique]

Technical​​ Staff

  • Francesco Tucciarone [​​​‌INRIA, Engineer]‌

Administrative Assistant

  • Caroline Tanguy‌​‌ [INRIA]

2​​ Overall objectives

Covering more​​​‌ than 70% of the‌ Earth's surface, the oceans‌​‌ play key roles on​​ the Earth climate regulation​​​‌ as well as for‌ human societies. Yet, from‌​‌ wave breaking events to​​ the movement of weather​​​‌ systems, the predictive capabilities‌ of models notoriously quickly‌​‌ diminish with increasing lead​​ times, even with the​​​‌ assistance of the world's‌ largest supercomputers. Despite ever-increasing‌​‌ developments to simulate and​​ observe the coupled ocean-atmosphere​​​‌ system, our ability to‌ understand, reconstruct and forecast‌​‌ the ocean dynamics remains​​ fairly limited for numerous​​​‌ applications.

Our motivations are‌ to help break this‌​‌ apparent logjam, and more​​ specifically to bridge model​​​‌ driven and observation-driven paradigms‌ to develop and learn‌​‌ novel stochastic representations of​​ the coupled ocean-atmosphere dynamics.​​​‌ To address these challenges,‌ Odyssey gathers a unique‌​‌ transdisciplinary expertise in Numerical​​ Methods, Applied Statistics, Data​​​‌ Science, Satellite and Physical‌ Oceanography. Methodological developments are‌​‌ primarily implemented and demonstrated​​​‌ through three main objectives:​ (i) the analysis of​‌ mesoscale/submesoscale processes and internal​​ waves, (ii) the monitoring​​​‌ of extremes ocean-atmosphere events​ and routes to rapid​‌ intensifications; (iii) the derivation​​ of forefront deep-learning stochastic​​​‌ data assimilation techniques. The​ name Odyssey is a​‌ short-cut that stands for​​ “Ocean DYnamicS obSErvation analYsis'​​​‌ – the keyword “Analysis”​ has to be understood​‌ in terms of physical​​ understanding, mathematical analysis and​​​‌ data analysis.

The objectives​ and research actions of​‌ the team can be​​ separated in four methodological​​​‌ axes:

  • Ocean observations analysis​
    This axis aims at​‌ exploiting novel multi-modal high-resolution​​ observations of the ocean​​​‌ – mostly at the​ surface – through new​‌ methods of mathematical analysis,​​ numerical simulations, stochastic analysis​​​‌ and machine learning to​ create new capabilities. The​‌ main scientific target, besides​​ the upper ocean variability,​​​‌ addresses the air-sea exchanges​ and the rapid intensification​‌ of extreme events.
  • Development​​ and analysis of numerical​​​‌ and mathematical models of​ geophysical flows
    The context​‌ of this research axis​​ is the modelling and​​​‌ analysis issues of geophysical​ fluid dynamics. A major​‌ research effort concerns the​​ development of stochastic modelling​​​‌ and its implementation in​ numerical models in order​‌ to address uncertainty quantification.​​ More generally, the analysis​​​‌ of mathematical models on​ the one hand, and​‌ of data from high-resolution​​ numerical models, on the​​​‌ other hand; together with​ the improvement of numerical​‌ schemes and the development​​ of parameterizations (of unresolved​​​‌ processes) for numerical models​ forms the corpus of​‌ objectives in this axis.​​
  • Data/Models interactions and reduced​​​‌ order modelling
    Several data​ assimilation models are being​‌ developed with a wide​​ range of applications, from​​​‌ near surface high-frequency submesoscale​ motions estimation to extreme​‌ event hindcast and up​​ to basin-scale dynamics reconstruction.​​​‌ At the base of​ this work is the​‌ design and validation of​​ simplified models based on​​​‌ physics and data-driven reduced​ order models that allows​‌ for an optimal coupling​​ with observations. At the​​​‌ same time, new uncertainty-handling​ data assimilation strategies are​‌ being developed.
  • AI models​​ and methods for ocean​​​‌ data analysis
    We aim​ to bridge the physical​‌ paradigm underlying ocean and​​ atmosphere science and AI​​​‌ paradigms with a view​ to developing and identifying​‌ physically relevant representations of​​ geophysical dynamics accounting for​​​‌ the specificities and complexities​ of the processes involved.​‌ To this end, we​​ propose to jointly explore​​​‌ three main complementary data-driven​ frameworks (including their possible​‌ couplings): analog schemes, kernel​​ approaches (especially RKHS –​​​‌ Reproducing kernel Hilbert space)​ and deep neural network​‌ (NN) representations.

3 Research​​ program

A primary focus​​​‌ of the team intends​ to better characterize poorly​‌ known mechanisms of energy​​ redistribution operating at different​​​‌ scales, through the interactions​ of different physical mechanisms​‌ such as hydrodynamical instabilities,​​ internal or wind waves,​​​‌ turbulence and ocean atmosphere​ feedback exchanges. Our first​‌ credo is that an​​ improved physical understanding cannot​​​‌ be achieved uniquely on​ the basis of sparse-in-time​‌ observations alone or from​​ intrinsically imperfect models: data​​​‌ without models are uninformative​ and models built without​‌ data are useless, as​​ models are generally too​​ far from real-world situations​​​‌ of interest. Today, data‌ and models shall thus‌​‌ be combined to tackle​​ uncertainty quantification and probabilistic​​​‌ ensemble forecasting issues, as‌ advanced data-driven representation of‌​‌ ocean dynamics requires; to​​ that end we need​​​‌ to drift from a‌ purely deterministic physics toward‌​‌ stochastic representations. This is​​ the second credo. Many​​​‌ aspects of the models‌ or of the data-model‌​‌ coupling functional still need​​ to be specified or​​​‌ parameterized through dynamically-adapted basis‌ functions, evolving parameters or‌​‌ covariance matrices. Our third​​ credo is that the​​​‌ improved physical understanding of‌ the multi-scale interactions encoded‌​‌ in such parametrizations can​​ be learned or estimated​​​‌ from data.

The research‌ objectives of our group‌​‌ naturally distribute in several​​ challenges, exploring multimodal (differing​​​‌ space-time resolutions, differing passive‌ and active microwave instruments,‌​‌ ...) observations, air-sea exchanges​​ and upper ocean dynamics,​​​‌ bottom boundary turbulent processes,‌ stochastic flow representations, data‌​‌ assimilation and machine learning​​ procedures. All these challenges​​​‌ take place or rely‌ on principles and/or tools‌​‌ of the four methodological​​ contexts introduced above.

3.1​​​‌ Ocean observations analysis: upper-ocean‌ dynamics, ocean-atmosphere interaction, waves‌​‌ and extreme events.

Global​​ Earth Observation (GEO) systems,​​​‌ in situ and satellite‌ platforms, have significantly improved‌​‌ our understanding and capability​​ to study the Earth's​​​‌ environment. Key products today‌ include, among others, merged‌​‌ global ocean surface topography​​ using the different available​​​‌ altimeter missions, global and‌ daily high-resolution sea surface‌​‌ temperature and ocean colour​​ using multi-sensor and platform​​​‌ measurements. One may also‌ cite the mapping of‌​‌ high sea winds from​​ combined radiometer/scatterometer, including very-high​​​‌ resolution synthetic aperture radar‌ observations, and more recently,‌​‌ the fusion of sea​​ state data (largely improved​​​‌ with the recently launched‌ CFOSAT mission, combined with‌​‌ Copernicus Sentinel-1 and 2​​ measurements). Pushing to higher​​​‌ spatial resolution (about 10‌ m to 1 km),‌​‌ signatures of tracer variations​​ from imaging instruments can​​​‌ further provide quantitative information,‌ especially for characterizing internal‌​‌ and surface waves in​​ interactions with the ambient​​​‌ underlying upper ocean flow.‌ Note, modern satellite sensor‌​‌ capabilities, sustained under the​​ Copernicus programme, will soon​​​‌ include the new wide-swath‌ Surface Water & Ocean‌​‌ Topography (SWOT) altimeter, to​​ more precisely characterize ocean​​​‌ sea surface height variability.‌ An essential goal is‌​‌ thus to incorporate and​​ combine these high resolution​​​‌ global observations of air-sea‌ exchanges and upper ocean‌​‌ dynamics into our applications​​ of new methods of​​​‌ mathematical analysis, numerical simulations,‌ stochastic analysis and machine‌​‌ learning to create new​​ capabilities. We aim to​​​‌ combine multi-sensor data algorithm‌ developments with advances in‌​‌ mining and learning from​​ multi-modal observations, i.e. satellite​​​‌ and in-situ measurements, including‌ numerical outputs. The scientific‌​‌ targets of this axis​​ are to fully unveil​​​‌ (1) upper ocean mesoscale‌ variability and its associated‌​‌ lateral exchange processes, known​​ as “eddy fluxes”, (2)​​​‌ sub-mesoscale variability and associated‌ upper-ocean vertical exchange processes,‌​‌ known as “vertical exchange”,​​ and finally (3) internal​​​‌ gravity wave variability (induced‌ by winds, tides, and‌​‌ interactions of low-frequency currents​​ with topography). Another central​​​‌ scientific objective is to‌ explore and develop data-model-driven‌​‌ techniques in the context​​​‌ of extreme marine-atmosphere events,​ to provide new insights​‌ for air-sea exchanges processes​​ and adapted parameterization under​​​‌ extreme conditions.

3.2 Development​ and analysis of numerical​‌ and mathematical models of​​ geophysical flows

The core​​​‌ of this theme of​ research addresses modelling and​‌ analysis issues in geophysical​​ fluid dynamics. Within this​​​‌ context, we mainly focus​ on the study of​‌ the dynamics of the​​ upper oceanic circulation. One​​​‌ overall objective is to​ devise random models representing​‌ the effects of the​​ computationally unresolvable scales of​​​‌ fluid motion on the​ resolved scales. Such models​‌ are used for ensemble​​ forecasting, uncertainty quantification and​​​‌ data assimilation. The representation​ of the fine-scale effects​‌ on the coarser scales​​ of motion depends on​​​‌ the level of geophysical​ fluid approximation pertinent to​‌ the data resolution and​​ to the scale of​​​‌ the other physical processes​ involved. An important research​‌ effort of the team​​ in this context is​​​‌ to pursue the development​ of a recently established​‌ class of models of​​ stochastic transport in fluid​​​‌ dynamics at the most​ fundamental level. This class​‌ of models, referred to​​ as model under Location​​​‌ Uncertainty (LU), has the​ advantage to be derived​‌ from physical conservation laws​​ expressed through the stochastic​​​‌ transport of fluid parcels.​ As such, they are​‌ easily extendable to classical​​ approximations of geophysical dynamics.​​​‌ and the stochastic partial​ differential equations have nearly​‌ the same shape as​​ the corresponding deterministic ones.​​​‌ As for the ocean​ models, a known hierarchy​‌ of approximate stochastic models​​ can be built from​​​‌ the Navier-Stokes equations almost​ exactly in the same​‌ way as in the​​ deterministic setting. One of​​​‌ their strong assets is​ to lead to proper​‌ energy conservation and provide​​ new approaches to subgrid​​​‌ parameterization, expressed both in​ terms of fluctuation distributions,​‌ and spatial/temporal correlations.

Research​​ activities in the ODYSSEY​​​‌ team on this subject​ are many. First, the​‌ mathematical properties of the​​ involved stochastic partial differential​​​‌ equations are poorly known​ and need to be​‌ explored. The overall objective​​ of the challenge is​​​‌ to explore to what​ extent the known properties​‌ of deterministic flow dynamics​​ models are conserved in​​​‌ the stochastic framework. This​ concerns for instance local​‌ well-posedness of the Navier-​​ Stokes equation or of​​​‌ its oceanic representatives. Another​ issue concerns the physical​‌ analysis of such systems.​​ Do the stochastic systems​​​‌ with general noise models​ still admit some wave​‌ solutions (Rossby wave, Gravity​​ waves, internal waves, etc.)?​​​‌ The characterization of the​ statistical moments associated with​‌ those wave solutions are​​ of primal interest from​​​‌ a physical perspective but​ also to define proper​‌ shape functions for the​​ random terms involved. All​​​‌ these issues are currently​ being studied within the​‌ STUOD project. Finally, the​​ ODYSSEY team also addresses​​​‌ the development and validation​ of new numerical schemes​‌ for both deterministic and​​ stochastic models of geophysical​​​‌ flows. In the stochastic​ case, the numerical approximation​‌ of the SPDEs requires​​ the discretization of both​​​‌ the space and time​ domains. For the spatial​‌ discretization classical schemes can​​ be used, however special​​ care must be taken​​​‌ for the temporal schemes.‌ The consistency of several‌​‌ splitting schemes is studied​​ and numerically implemented.

3.3​​​‌ Data/Models interactions and reduced‌ order modelling

A first‌​‌ research effort in this​​ theme is dedicated to​​​‌ the development of ensemble‌ data assimilation techniques for‌​‌ geophysical problems (in this​​ context, models and observations​​​‌ from e.g. satellites), addressing‌ the issue of linearity‌​‌ and gaussianity hypotheses, which​​ are major limitations of​​​‌ these approaches. Following recent‌ results on the application‌​‌ of particle filters to​​ address these issues on​​​‌ high-dimension problems, we further‌ develop new schemes relying‌​‌ on multiscale dynamical paradigms.​​ Particle filters comprise a​​​‌ class of numerical methods‌ that produce asymptotically consistent‌​‌ approximations of posterior distributions​​ of partially observed systems.​​​‌ We study hierarchical ensemble‌ data assimilation filters, able‌​‌ to handle multiscale interaction​​ in a nested hierarchy​​​‌ of models (from coarse‌ to fine scale). This‌​‌ multiscale capability (not available​​ today even in a​​​‌ simple coarse form) is‌ expected to provide an‌​‌ important analysis tool to​​ study ocean/atmosphere interactions at​​​‌ different scales. The hierarchy‌ of ocean dynamics models‌​‌ rely on the nested​​ capability provided by the​​​‌ stochastic derivation framework described‌ in the second methodological‌​‌ context.

A second axis​​ of work is dedicated​​​‌ more directly to the‌ development, the implementation and‌​‌ the validation of simplified​​ models of the ocean​​​‌ dynamics, with the main‌ target to couple these‌​‌ models to the observation​​ via data assimilation techniques.​​​‌ These models aim at‌ covering a wide range‌​‌ of motions in the​​ ocean. The mesoscale eddying​​​‌ dynamics (with typical horizontal‌ scales greater than 100‌​‌ km), such as multi-layer​​ QG models with the​​​‌ inclusion of active temperature‌ tracer (Thermal QG or‌​‌ coupled Surface QG /​​ QG models) and/or surface​​​‌ mixed layer, allowing to‌ couple the dynamics to‌​‌ sea surface temperature data.​​ Higher frequency motions, such​​​‌ as internal waves and‌ internal tides, are addressed‌​‌ using a hierarchy of​​ models based on the​​​‌ rotating shallow water equations‌ (possibly with some linearization).‌​‌ The development of these​​ models mirrors the evolving​​​‌ nature and growing quantity‌ of data available, with‌​‌ recent and new missions​​ such as SWOT or​​​‌ CFOSAT.

3.4 AI models‌ and methods for ocean‌​‌ data analysis

This research​​ axis is focused on​​​‌ the exploration and development‌ of data-driven and learning-based‌​‌ schemes and their interactions​​ with model-based approaches, which​​​‌ constitute the state-of-the-art in‌ ocean and atmosphere science.‌​‌ The general goal is​​ to improve the understanding,​​​‌ modeling, forecasting and reconstruction‌ of air-sea exchanges and‌​‌ upper ocean dynamics, as​​ well as bottom turbulent​​​‌ processes, from the in-depth‌ exploration of the existing‌​‌ observation and simulation data.​​ We jointly explore three​​​‌ main complementary data-driven frameworks,‌ including their possible couplings:‌​‌ analog schemes, kernel approaches,​​ especially RKHS (Reproducing kernel​​​‌ Hilbert space), and deep‌ neural network (NN) representations.‌​‌ RKHS and NN naturally​​ arise as they may​​​‌ directly link to model-driven‌ representations (e.g., NN regarded‌​‌ as discrete numerical solvers​​ for ODE/PDE). Analog methods​​​‌ provide simple yet efficient‌ sampling schemes for complex‌​‌ dynamics. Our recent contributions​​​‌ emphasize the relevance of​ these data-driven frameworks for​‌ the modelling, forecasting and​​ assimilation of upper ocean​​​‌ dynamics on toy models.​ Ongoing studies aim at​‌ extending such methodologies for​​ the learning of subgrid​​​‌ processes in full models.​ Besides, our recent developments​‌ illustrated on simplified systems,​​ including for instance the​​​‌ identification of Neural ODE​ representations for partially-observed systems​‌ as well as the​​ identification of stochastic latent​​​‌ dynamics, provide the methodological​ and numerical basis for​‌ the considered challenges.

This​​ research axis specifically investigates​​​‌ the following issues: (i)​ embedding explicit or implicit​‌ physics-informed priors (e.g., stability,​​ conservation laws, stochasticity, chaos...)​​​‌ into data-driven and hybrid​ representations, (ii) learning latent​‌ representations for oceanic flows​​ and air-sea exchanges accounting​​​‌ for flow stochasticity, including​ extreme events (iii) learning​‌ schemes when dealing with​​ partially-observed, irregularly-sampled and noisy​​​‌ dynamics, (iv) the joint​ learning of data-driven representation​‌ and associated data assimilation​​ schemes, possibly directly from​​​‌ observation data.

4 Application​ domains

The application domain​‌ is mainly geophysical environmental​​ flows, related to ocean​​​‌ dynamics. By designing new​ approaches for observation analysis,​‌ data-model coupling and stochastic​​ representation of fluid flows,​​​‌ the Odyssey group contributes​ to several application domains​‌ of great interest for​​ the community and in​​​‌ which the analysis of​ complex turbulent flow is​‌ key.

5 Social and​​ environmental responsibility

Ocean circulations​​​‌ play a major role​ in the climate and​‌ in the biodiversity of​​ ecosystems. These aspects are​​​‌ crucial for the sustainability​ of the resources of​‌ human societies. Understanding and​​ providing tools to predict​​​‌ ocean dynamics is a​ brick to apprehend our​‌ environment and to help​​ making decisions.

6 Highlights​​​‌ of the year

The​ team is being evaluated​‌ this year and is​​ currently waiting for the​​​‌ reviews from the experts.​

7 Latest software developments,​‌ platforms, open data

7.1​​ New platforms

Participants: Ronan​​​‌ Fablet, Pierre Tandeo​.

Machine learning for​‌ ocean dynamics tools, available​​ under free-license (licence Ceccil-C)​​​‌ on the GIT repository​ (link).

Python library​‌ for Kalman filtering and​​ smoothing in dynamical systems​​​‌ Python library with augmented​ state (link).

8​‌ New results

8.1 Ocean​​ observations analysis: upper-ocean dynamics,​​​‌ ocean-atmosphere interaction, waves and​ extreme events.

Tropical cyclone​‌ characterization from observations

Participants:​​ Alexis Mouche, Nicolas​​​‌ Reul, Frédéric Nouguier​, Bertrand Chapron.​‌

Recalling that our current​​ paradigm is that process​​​‌ understanding derived from measurements​ shall foster improved models​‌ (theoretical, numerical) for improved​​ both short-term predictions and​​​‌ long-term projections, important efforts​ have been dedicated on​‌ targeting marine-atmosphere extreme events.​​ Indeed, NWP re-analysis (e.g.​​​‌ ERA-5) generally poorly resolves​ extreme marine-atmosphere events and​‌ their surrounding environment. Such​​ spatio-temporal inconsistencies and unreliability​​​‌ of global historical re-analyses​ can thus hamper more​‌ accurate simulation and the​​ projection of future changes​​​‌ in the main characteristics​ (size, intensity, locations, translation​‌ speed) of extreme events.​​ In particular for intense​​​‌ vortex systems (tropical cyclones,​ polar lows), near-core surface​‌ wind structural properties are​​ today still not precisely​​​‌ recorded and re-analyzed. Present-day​ available model-data cubes must​‌ thus be more systematically​​ combined with direct observations​​ (satellite, in situ). In​​​‌ particular, some theoretical and‌ observational evidences have been‌​‌ accumulated and tested to​​ monitor the integrated kinetic​​​‌ energy. Two characteristic scales‌ have been identified and‌​‌ uniquely estimated using high-resolution​​ ocean surface winds from​​​‌ all-weather spaceborne synthetic aperture‌ radar: the radius of‌​‌ significant upward motions in​​ the inflow layer, controlled​​​‌ by the surface wind‌ decay, and the radius‌​‌ of vanishing azimuthal velocity​​ in the outflow layer,​​​‌ associated with the maximum‌ surface winds. By juxtaposing‌​‌ the high-resolution measurements with​​ best-track intensity and size​​​‌ time derivative estimates, the‌ instantaneous knowledge of the‌​‌ two characteristic scales has​​ then been shown to​​​‌ inform on the steadiness‌ of the integrated kinetic‌​‌ energy. The resulting criterion​​ of steadiness depends on​​​‌ a multiplicative constant characterizing‌ the system's thermodynamics. Part‌​‌ of this investigation is​​ in the context of​​​‌ Arthur Avenas PhD work.‌

Building databases of marine-atmosphere‌​‌ extreme event

Participants: Alexis​​ Mouche, Nicolas Reul​​​‌, Jean-François Piollé.‌

Within the Marine-Atmosphere eXtreme‌​‌ Sensor Synergy (MAXSS) project,​​ the team builds an​​​‌ advanced and unique workbench‌ to more precisely study‌​‌ these ocean-atmosphere extreme events,​​ from their generation to​​​‌ their impacts. Specifically, efforts‌ have been dedicated to‌​‌ generate new 10-year-long databases:​​

  • Intercalibrated satellite surface winds​​​‌ in extreme conditions.
  • A‌ global 10-year multi-mission surface‌​‌ wind (MMW) derived from​​ the merging of these​​​‌ inter-calibrated sensor wind estimates.‌
  • A storm atlas of‌​‌ all-available Earth Observation (EO)​​ data collected around tropical​​​‌ cyclones (TCs), extra-tropical storms‌ (ETC), and polar lows‌​‌ (PLs).
  • An atlas of​​ pre-storm upper ocean conditions,​​​‌ atmospheric forcing during the‌ storms, and induced post-storm‌​‌ upper ocean impacts in​​ the storm wakes.
  • A​​​‌ new database of high‌ resolution TC vortex, inner‌​‌ and outer core wind​​ structural distribution.
  • A new​​​‌ database of ocean swell‌ characteristics (energy, wavelength, direction)‌​‌ generated by different all​​ available sensors (satellite, in​​​‌ situ) and model outputs.‌
Characterization of oceanic high‌​‌ frequency variability from altimeter​​ and surface drifting buoys​​​‌

Participants: Margot Demol,‌ Noé Lahaye, Aurélien‌​‌ Ponte.

We address​​ several challenges that are​​​‌ expected to arise when‌ analyzing future SWOT data:‌​‌ the separation of wave​​ and eddy dynamics, and​​​‌ spatio-temporal sampling issues. Following‌ Zoé Caspar-Cohen’s PhD thesis,‌​‌ we have analysed a​​ realistic numerical simulation (LLC4320)​​​‌ and proposed a conversion‌ metrics to infer eulerian‌​‌ internal tide energy from​​ drifting buoys measurements. Two​​​‌ articles have been published‌ in Scientific Report this‌​‌ year (Caspar-Cohen et al.​​ 2025 entitled "Combining surface​​​‌ drifters and high resolution‌ global simulations enables the‌​‌ mapping of internal tide​​ surface energy" and Rayson​​​‌ et al. 2025 entitled‌ "Characteristic Velocity and Timescales‌​‌ of Nonphase-Locked Internal Tides​​ in a Mesoscale Eddy​​​‌ Field"). We also pursued‌ the combined analyses of‌​‌ altimetry and in situ​​ observations (drifting buoys) as​​​‌ a part of Margot‌ Demol’s thesis, who defended‌​‌ this year. An article​​ has been published in​​​‌ JGR this year (Demol‌ et al. "Diagnosis of‌​‌ Ocean Near-Surface Horizontal Momentum​​ Balance from pre-SWOT altimetric​​​‌ data, drifter trajectories, and‌ wind reanalysis"). The corresponding‌​‌ analysis of SWOT altimetry​​​‌ and drifter trajectories in​ the Mediterranean Sea has​‌ also been submitted to​​ GRL this year.

Towards​​​‌ a stochastic generalized Ekman​ model with application to​‌ uncertainty quantification

Participants: Long​​ Li, Matteo Nex​​​‌, Étienne Mémin,​ Bertrand Chapron.

We​‌ introduce a stochastic approach​​ to model the ocean​​​‌ surface Ekman boundary layer.​ This model incorporates wind,​‌ surface waves, and turbulent​​ mixing effects. A steady​​​‌ version as well as​ a time dependent version​‌ of this generalized Ekman​​ model has been developed.​​​‌ They both consider the​ vertical mixing effect of​‌ Stokes drift in addition​​ to traditional Ekman-Stokes terms.​​​‌ The stochastic approach aligns​ with traditional parameterizations through​‌ random parameter definitions. Numerical​​ simulations are used to​​​‌ assess uncertainties in the​ Ekman layer, focusing on​‌ statistical moment responses and​​ sensitivity analyses of random​​​‌ parameters. Several vertical diffusion​ schemes have been included​‌ and compared. The model​​ has been recently extended​​​‌ to include an evolving​ buoyancy profile.

Characterization of​‌ linear and nonlinear internal​​ tide dynamics

Participants: Xavier​​​‌ Carton, Noé Lahaye​, Aurélien Ponte,​‌ Gilles Tissot.

We​​ have finalized the previous​​​‌ work from Adrien Bella​ PhD thesis on the​‌ characterization of the loss​​ of coherence in the​​​‌ North Atlantic ocean based​ on realistic high-resolution numerical​‌ simulations. We have diagnosed​​ the terms accounting for​​​‌ interactions between the internal​ tide and the mesoscale​‌ currents, extended the previous​​ theoretical framework to include​​​‌ a decomposition of the​ signal in a coherent​‌ and an incoherent part.​​ A paper has been​​​‌ published in Ocean Science.​

On a different axis​‌ of research, we have​​ analysed the Sea Level​​​‌ Anomaly data from the​ SWOT mission to characterize​‌ the non-linear internal solitary​​ wave activity in the​​​‌ Maluku Sea. To this​ aim, we have developed​‌ a method to identify​​ the nonlinear wave packet​​​‌ and individual peaks and​ analyze their shape (width​‌ and amplitude), as well​​ as their propagation velocity.​​​‌ We are currently processing​ these data to compare​‌ the observations with expectations​​ from theory (e.g. based​​​‌ on the Korteweg-De-Vries equation​ for a stratified fluid).​‌

In the Gibraltar region​​ (context of J. B.​​​‌ Roustan former PhD work),​ we have shown that​‌ the barotropic tide coupled​​ with the Atlantic inflow/Med​​​‌ outflow exchange, leads to​ hydraulic jumps on Camarinal​‌ Sill and to the​​ formation of internal bores.​​​‌ These bores degenerate into​ internal waves and particularly​‌ into solitary waves (ISW),​​ which propagate eastward and​​​‌ to a lesser degree,​ westward, southward and northward​‌ (by reflection on the​​ Moroccan shelf). Bore and​​​‌ wave breaking lead to​ an intense diapycnal mixing​‌ which is well characterized​​ at the interface between​​​‌ the inflow and the​ outflow. Vertical recirculation and​‌ strong turbulent mixing is​​ observed in the bottom​​​‌ (frictional) layer. These results​ have been published in​‌ Scientific Report.

Mesoscale eddies​​ and near-surface ocean dynamics​​​‌

Participants: Xavier Carton,​ Claire Ménesguen, Guillaume​‌ Roullet.

We address​​ the dynamics of the​​​‌ near-surface. A collaboration with​ Hereon has launched us​‌ on the analysis of​​ a dataset from two​​ campaigns in the Agulhas​​​‌ Current region, where the‌ Diurnal Warm Layer signal‌​‌ is predominant, and in​​ which microstructure measurements have​​​‌ been made. Analysis of‌ near-surface mixing processes is‌​‌ the subject of an​​ article in preparation and​​​‌ a chapter in Mariana‌ Lage’s thesis.

Furthermore, in‌​‌ the context of mesoscale/submesoscale​​ variability of the surface​​​‌ and shallow subsurface ocean,‌ we have conducted several‌​‌ studies investigating the dynamics​​ of vortices in the​​​‌ Quasi-Geostrophic equations, and how‌ they can merge over‌​‌ a bathymetry (Reinaud, Lacasce​​ & Carton 2025) and​​​‌ in the Thermal Quasi-Geostrophic‌ model (Carton, Barabinot &‌​‌ Roullet 2025), in rather​​ idealised configurations. In much​​​‌ more realistic configurations and‌ based on observations, we‌​‌ have developed and applied​​ a PV framework to​​​‌ diagnose the dynamics of‌ mesoscale eddies (Barabinot, Speich‌​‌ & Carton 2025). Finally,​​ several studies have addressed​​​‌ the identification and characterisation‌ of mesoscale eddies based‌​‌ on In Situ and​​ remote observations and investigation​​​‌ of their dynamics in‌ the ocean (papers resulting‌​‌ from Y. Barabinot PhD​​ work).

Modern statistical methods​​​‌ applied to historical data‌ and satellite observations

Participants:‌​‌ Pierre Tandeo, Florian​​ Sevellec.

ODYSSEY researchers​​​‌ use and develop methods‌ to study global climate‌​‌ change to fill critical​​ gaps in ocean and​​​‌ cryosphere observations. By applying‌ modern statistical frameworks, researchers‌​‌ are now able to​​ transform sparse historical data​​​‌ and complex satellite observations‌ into clear, actionable trends.‌​‌

8.2 Development and analysis​​ of numerical and mathematical​​​‌ models of geophysical flows‌

Very-high resolution numerical simulations‌​‌ of the ocean dynamics​​

Participants: Jonathan Gula,​​​‌ Claire Ménesguen, Xavier‌ Carton, Guillaume Roullet‌​‌.

We have studied​​ the Mozambique Channel region.​​​‌ High-resolution, particularly in the‌ ocean interior, simulations has‌​‌ enabled us to highlight​​ regions propitious to internal​​​‌ mixing, particularly at the‌ edge of the Mozambique‌​‌ Channel rings, which have​​ very strong dynamics. The​​​‌ simulations also highlighted a‌ spurious numerical instability: BICK‌​‌ (Baroclinic Instability of the​​ Computational Kind). Studying BICK,​​​‌ we produced recommendations for‌ the choice of horizontal‌​‌ and vertical resolutions of​​ numerical models using Lorenz​​​‌ discretization on the vertical‌ (publication in JAMES)

Over‌​‌ the past year we​​ have continued to analyse​​​‌ our numerical solutions GIGATL‌ Gula et al. 2021‌​‌, which are simulations​​ of the Atlantic Ocean​​​‌ using the CROCO model‌ at meso- and submesoscale‌​‌ resolutions (6 km, 3​​ km and 1 km)​​​‌ with realistic topography, high-frequency‌ surface forcing and tidal‌​‌ forcing. An example animation​​ showing the surface dynamics​​​‌ (eddies and waves) and‌ the richness of the‌​‌ deep circulation, in particular​​ the coherent eddies, is​​​‌ shown here. These‌ simulations have also been‌​‌ used for physical analyses​​ of several flow features:​​​‌

  • Fronts
    Dauhajre et al.‌ (2025) showed how small-scale‌​‌ turbulent vertical mixing controlled​​ the sharpening or weakening​​​‌ of upper-ocean fronts, thereby‌ modulating frontal heat transport.‌​‌ Simulations identified a measurable​​ parameter that predicted frontal​​​‌ evolution and provided a‌ new framework for improving‌​‌ front parameterization in climate​​ models.
  • Bottom circulation
    Schubert​​​‌ et al. (2025) demonstrated‌ a systematic downslope near-bottom‌​‌ flow with compensating upward​​​‌ recirculation above the seafloor,​ revealing a fundamental structure​‌ of abyssal circulation. Santos​​ et al. (2025) showed​​​‌ that contraction of Antarctic​ Bottom Water drove abyssal​‌ warming in the Argentine​​ Basin, highlighting large-scale changes​​​‌ in bottom water circulation.​
  • Mesoscale / topography interactions​‌
    De Marez et al.​​ (2025) quantified mesoscale-induced vertical​​​‌ fluxes over the Iceland–Faroe​ Ridge, using high-resolution observations​‌ from the SWOT mission​​ and from the GIGATL​​​‌ model.
  • Hydrothermal sources
    Lemaréchal​ et al. (2025) characterized​‌ near-field hydrothermal plume dynamics​​ using large-eddy simulations and​​​‌ observations, advancing understanding of​ mixing and dispersion from​‌ hydrothermal sources.

These results​​ led to publications in​​​‌ J. Geophys. Res. Oceans​ (Duan et al 2024,​‌ Picard et al 2024,​​ Vic et al 2024,​​​‌ Napolitano et al 2024),​ Journal of Physical Oceanography​‌ (Capo 2024), Proc. Natl.​​ Acad. Sci. U.S.A. (Mashayek​​​‌ et al 2024) and​ Geophysical & Astrophysical Fluid​‌ Dynamics (Carton et al​​ 2024).

Geophysical flows modelling​​​‌ under location uncertainty

Participants:​ Noé Lahaye, Long​‌ Li, Étienne Mémin​​, Gilles Tissot,​​​‌ Francesco Tucciarone.

In​ this research axis we​‌ have devised a principle​​ to derive representation of​​​‌ flow dynamics under location​ uncertainty. Such an uncertainty​‌ is formalized through the​​ introduction of a random​​​‌ term that enables taking​ into account large-scale approximations​‌ or truncation effects performed​​ within the dynamics analytical​​​‌ constitution steps. Rigorously derived​ from a stochastic version​‌ of the Reynolds transport​​ theorem, this framework, referred​​​‌ to as modeling under​ location uncertainty (LU), encompasses​‌ several meaningful mechanisms for​​ turbulence modeling. It indeed​​​‌ introduces without any supplementary​ assumption the following pertinent​‌ mechanisms: (i) a dissipative​​ operator related to the​​​‌ mixing effect of the​ large-scale components by the​‌ small-scale velocity;(ii) a multiplicative​​ noise representing small-scale energy​​​‌ backscattering; and (iii) a​ modified advection term related​‌ to the so-called turbophoresis​​ phenomena, attached to the​​​‌ migration of inertial particles​ in regions of lower​‌ turbulent diffusivity. In a​​ succession of works we​​​‌ have shown how the​ LU modelling can be​‌ applied to provide stochastic​​ representations of a variety​​​‌ of classical geophysical flows​ dynamics. Numerical simulations and​‌ uncertainty quantification have been​​ performed on Quasi Geostrophic​​​‌ approximation (QG) of oceanic​ models. It has been​‌ shown that LU leads​​ to remarkable estimation of​​​‌ the unresolved errors opposite​ to classical eddy viscosity​‌ based models. The noise​​ brings also an additional​​​‌ degree of freedom in​ the modeling step and​‌ pertinent diagnostic relations and​​ variations of the model​​​‌ can be obtained with​ different scaling assumptions of​‌ the turbulent kinetic energy​​ (i.e. of the noise​​​‌ amplitude). For a wind​ forced QG model in​‌ a square box, which​​ is an idealized model​​​‌ of north-Atlantic circulation, we​ have shown that for​‌ different versions of the​​ noise the QG LU​​​‌ model leads to improve​ long-term statistics when compared​‌ to classical large-eddies simulation​​ strategies. For a QG​​​‌ model we have demonstrated​ that the LU model​‌ allows conserving the global​​ energy. We have also​​​‌ shown numerically that Rossby​ waves were conserved and​‌ that inhomogeneity of the​​ random component triggers secondary​​ circulations. This feature enabled​​​‌ us to draw a‌ formal bridge between a‌​‌ classical system describing the​​ interactions between the mean​​​‌ current and the surface‌ waves and the LU‌​‌ model in which the​​ turbophoresis advection term plays​​​‌ the role of the‌ classical Stokes drift. A‌​‌ study of a stochastic​​ version of the primitive​​​‌ equations model is currently‌ investigated within the PhD‌​‌ of Francesco Tucciarone. Preliminary​​ results have been published​​​‌ in the STUOD proceedings.‌

In another study we‌​‌ explored the calibration of​​ the noise term through​​​‌ dynamic mode decomposition (DMD).‌ This technique is performed‌​‌ on high-resolution data to​​ learn a basis of​​​‌ the unresolved velocity field,‌ on which the stochastic‌​‌ transport velocity is expressed.​​ Time-harmonic property of DMD​​​‌ modes allowed us to‌ perform a clean separation‌​‌ between time-differentiable and time-decorrelated​​ components. Such random scheme​​​‌ is assessed on a‌ quasi-geostrophic (QG) model and‌​‌ has been published in​​ the STUOD proceedings.

Analysis​​​‌ of stochastic representation of‌ the primitive equations.

Participants:‌​‌ Arnaud Debussche, Étienne​​ Mémin, Antoine Moneyron​​​‌.

We investigate how‌ weakening the classical hydrostatic‌​‌ balance hypothesis impacts theoretical​​ properties of the LU​​​‌ primitive equation, such as‌ its well-posedness. The models‌​‌ we consider are intermediate​​ between the incompressible 3D​​​‌ LU Navier–Stokes equations and‌ the LU primitive equations‌​‌ with standard hydrostatic balance.​​ Also, they are expected​​​‌ to be numerically tractable,‌ while accounting well for‌​‌ nonhydrostatic phenomena. Our main​​ result is the well-posedness​​​‌ of a certain stochastic‌ interpretation of the LU‌​‌ primitive equations: we proposed​​ a weak filtered hydrostatic​​​‌ hypothesis, meaning the system‌ we consider accounts for‌​‌ the influence of the​​ transport noise of the​​​‌ vertical velocity component, of‌ which higher frequencies are‌​‌ cut off. This well-posedness​​ result holds with rigid-lid​​​‌ type boundary conditions, and‌ when the horizontal component‌​‌ of noise is independent​​ of depth. However, the​​​‌ vertical component of the‌ noise can remain general.‌​‌ In fact, this assumption​​ can be related to​​​‌ the physical validity domain‌ of the primitive equations.‌​‌ Moreover, we present and​​ study two non-filtered models,​​​‌ in which the transport‌ noise of the vertical‌​‌ component is regularised using​​ eddy-(hyper)viscosity terms. In the​​​‌ second axis of study‌ we investigate the limit‌​‌ of the stochastic Navier-Stokes​​ equation toward a stochastic​​​‌ version of the primitive‌ equation.

Wave solution of‌​‌ stochastic geophysical models

Participants:​​ Bertrand Chapron, Étienne​​​‌ Mémin.

A new‌ stochastic representation of the‌​‌ ocean surface wave formulation​​ is derived, building on​​​‌ the location uncertainty framework,‌ where the Lagrangian velocity‌​‌ is decomposed into a​​ temporally smooth component and​​​‌ a decorrelated stochastic component.‌ Expressing the momentum velocity‌​‌ in Eulerian terms, the​​ transport operator is modified​​​‌ to involve correlated contributions‌ leading to: (i) a‌​‌ large-scale diffusion term; (ii)​​ a correction to the​​​‌ large-scale advection, interpretable either‌ as the Stokes drift‌​‌ correction for correlated advection,​​ as in standard wave​​​‌ motion, or as a‌ turbophoresis term arising from‌​‌ additional decorrelated forcing, such​​ as that induced by​​​‌ wave breaking; (iii) a‌ small-scale random advection. We‌​‌ first examine the implications​​​‌ of time correlations in​ the small-scale velocity, leading​‌ to the emergence of​​ a classical Stokes drift​​​‌ component or a turbophoresis​ velocity. We then explore​‌ a consistent derivation of​​ the wave action conservation​​​‌ principle for stochastic flows.​ Beyond providing a proper​‌ stochastic wave action principle,​​ this study highlights a​​​‌ stochastic form of the​ wavefront Hamilton-Jacobi equation. The​‌ stochastic framework follows the​​ modeling under location uncertainty​​​‌ paradigm. Within this framework,​ the usual slow component​‌ of the underlying current​​ and the fast wavy​​​‌ component are accordingly decomposed​ in terms of smooth​‌ in time resolved component​​ and unresolved highly oscillating​​​‌ random field. The slow​ current is expressed as​‌ a two-dimensional evolution equation,​​ potentially incorporating strong noise.​​​‌ The fast wavy components​ are associated with the​‌ random current but include​​ their own noise contributions​​​‌ as well.

Derivation of​ stochastic models for coastal​‌ waves

Participants: Arnaud Debussche​​, Étienne Mémin,​​​‌ Antoine Moneyron.

In​ this study, we consider​‌ a stochastic nonlinear formulation​​ of classical coastal waves​​​‌ models under location uncertainty​ (LU). In the formal​‌ setting investigated here, stochastic​​ versions of the Serre–Green–Nagdi,​​​‌ Boussinesq and classical shallow​ water wave models are​‌ obtained through an asymptotic​​ expansion, which is similar​​​‌ to the one operated​ in the deterministic setting.​‌ However, modified advection terms​​ emerge, together with advection​​​‌ noise terms. These terms​ are well-known features arising​‌ from the LU formalism,​​ based on momentum conservation​​​‌ principle.

Variational principles for​ fully coupled stochastic fluid​‌ dynamics across scales

Participants:​​ Antoine Barlet, Arnaud​​​‌ Debussche, Étienne Mémin​, Sebastien Moskowitz.​‌

This study investigates variational​​ frameworks for modeling stochastic​​​‌ dynamics in incompressible fluids,​ focusing on large-scale fluid​‌ behavior alongside small-scale stochastic​​ processes. The authors aim​​​‌ to develop a coupled​ system of equations that​‌ captures both scales, using​​ a variational principle formulated​​​‌ with Lagrangians defined on​ the full flow, and​‌ incorporating stochastic transport constraints.​​ The approach smooths the​​​‌ noise term along time,​ leading to stochastic dynamics​‌ as a regularization parameter​​ approaches zero. Initially, fixed​​​‌ noise terms are considered,​ resulting in a generalized​‌ stochastic Euler equation, which​​ becomes problematic as the​​​‌ regularization parameter diminishes. The​ study then examines connections​‌ with existing stochastic frameworks​​ and proposes a new​​​‌ variational principle that couples​ noise dynamics with large-scale​‌ fluid motion. This comprehensive​​ framework provides a stochastic​​​‌ representation of large-scale dynamics​ while accounting for fine-scale​‌ components. The evolution of​​ the small-scale velocity component​​​‌ is governed by a​ linear Euler equation with​‌ random coefficients, influenced by​​ large-scale transport, stretching, and​​​‌ pressure forcing. Within the​ PhD work of Sebastien​‌ Moskowitz we will conduct​​ a mathematical analysis of​​​‌ this stochastic coupled models.​ The post-doc will aim​‌ at developing a similar​​ strategy for the primitive​​​‌ equations.

Toward a Stochastic​ Parameterization for Oceanic Deep​‌ Convection

Participants: Quentin Jamet​​, Étienne Mémin,​​​‌ Gilles Tissot.

Current​ climate models are known​‌ to systematically overestimate the​​ rate of deep water​​​‌ formation at high latitudes​ in response to too​‌ deep and too frequent​​ deep convection events. We​​ propose in this study​​​‌ to investigate a misrepresentation‌ of deep convection in‌​‌ Hydrostatic Primitive Equation (HPE)​​ ocean and climate models​​​‌ due to the lack‌ of constraints on vertical‌​‌ dynamics. We discuss the​​ potential of the Location​​​‌ Uncertainty (LU) stochastic representation‌ of geophysical flow dynamics‌​‌ to help in the​​ process of re-introducing some​​​‌ degree of non-hydrostatic physics‌ in HPE models through‌​‌ a pressure correction method.​​ We then test our​​​‌ ideas with idealized Large‌ Eddy Simulations (LES) of‌​‌ buoyancy driven free convection​​ with the CROCO modeling​​​‌ platform. This stochastic parametrization‌ relies on a compressible‌​‌ extension of the location​​ uncertainty modelling. We tested​​​‌ these ideas in a‌ free convection LES simulation,‌​‌ and highlighted the potential​​ of stochastic pressure terms​​​‌ to explain part of‌ turbulent vertical temperature fluxes.‌​‌ This work has been​​ presented at the CROCO​​​‌ user meeting (Marseille, September‌ 2025) and at 'Journées‌​‌ Scientifiques LEFE/MANU' (Brest, October​​ 2025)" Good results have​​​‌ been obtained, and support‌ future efforts in the‌​‌ direction of enriching coarse​​ resolution, hydrostatic ocean and​​​‌ climate models with a‌ stochastic representation of non-hydrostatic‌​‌ physics.

Stochastic hydrodynamic stability​​ under location uncertainty

Participants:​​​‌ Étienne Mémin, Gilles‌ Tissot.

Stochastic linear‌​‌ modeling (SLM) proposed in​​ Tissot, Mémin, and Cavalieri​​​‌ [J. Fluid Mech. 912,‌ A51 (2021), PRF 8,‌​‌ 033904 (2023)] is based​​ on classical conservation laws​​​‌ subject to a stochastic‌ transport. Once linearized around‌​‌ the mean flow and​​ expressed in the Fourier​​​‌ domain, the model has‌ proven its efficiency to‌​‌ predict the structure of​​ the streaks of streamwise​​​‌ velocity in turbulent channel‌ flows. It has been‌​‌ in particular demonstrated that​​ the stochastic transport by​​​‌ unresolved incoherent turbulence allows‌ us to better reproduce‌​‌ the streaks through lift-up​​ mechanism. In the present​​​‌ work, we have developed‌ SLM to predict the‌​‌ evolution of Kelvin-Helmholtz instability​​ within turbulent jets. We​​​‌ have shown that such‌ a model is able‌​‌ to predict two-point coherence​​ statistics, which is classically​​​‌ misrepresented by resolvent analysis.‌ Predicting these two-point statistics‌​‌ is a key ingredient​​ for obtaining relevant acoustic​​​‌ wave propagation, which is‌ still today a challenge‌​‌ in subsonic jets. This​​ work is the subject​​​‌ of a conference proceeding‌ and a paper in‌​‌ preparation. This work is​​ in collaboration with A.V.G​​​‌ Cavalieri (ITA, Brasil), P.‌ Jordan (PPRIME) and T.‌​‌ Colonius (Caltech).

Acoustic scattering​​ by a turbulent mixing​​​‌ layer using stochastic modelling‌

Participants: Gilles Tissot.‌​‌

The objective of this​​ work is to apply​​​‌ the location uncertainty framework‌ for acoustic propagation within‌​‌ aerodynamic turbulence described by​​ the compressible Euler equations​​​‌ under homentropic flow assumption.‌ We propose a model‌​‌ defined in the frequency​​ domain, where the non-linear​​​‌ interactions between turbulent fluctuations‌ — modelled as a‌​‌ stochastic noise carrying Kelvin-Helmholtz​​ coherent structures — and​​​‌ the incident acoustic wave‌ is explicitly computed through‌​‌ a convolution operation. The​​ goal is to provide​​​‌ a computationally efficient model‌ able to predict the‌​‌ lobes in the spectra​​ produced by acoustic scattering​​​‌ by a turbulent mixing‌ layer. This work is‌​‌ in collaboration with Gwénaël​​​‌ Gabard (LAUM).

Surface wave​ modelling

Participants: Bertrand Chapron​‌.

Not only for​​ extreme events, ocean surface​​​‌ waves have been demonstrated​ to be an important​‌ component of coupled earth​​ system models. They affect​​​‌ atmosphere-ocean momentum transfer, break​ ice floes, alter CO2​‌ fluxes, and impact mixed-layer​​ depth through Langmuir turbulence.​​​‌ In contrast to the​ goals of third-generation spectral​‌ models, the wave information​​ needed for mixing, air-sea,​​​‌ and wave-ice-coupling is much​ less than a full​‌ directional wave spectrum. All​​ present parameterizations – for​​​‌ wave-induced mixing, surface drag,​ floe fracture, or sea​‌ spray – use primarily​​ the wave spectrum's dominant​​​‌ frequency, direction, and energy​ or quantities that can​‌ be estimated from these​​ such as Stokes drift​​​‌ and bending moments. Modest​ errors in sea state​‌ do not strongly affect​​ the impacts of these​​​‌ parameterizations. This minimal data​ and accuracy need starkly​‌ contrasts with the computational​​ costs of spectral wave​​​‌ models as a component​ of next-generation Earth System​‌ Models (ESM). In that​​ context, an alternative, cost-efficient​​​‌ wave modeling framework for​ air-sea interaction to enable​‌ the routine use of​​ sea state-dependent air-sea flux​​​‌ parameterization in ESMs. In​ contrast to spectral models,​‌ the Particle-in-Cell for Efficient​​ Swell Wave Model (PiCLES)​​​‌ is under developments targeting​ coupled atmosphere-ocean-sea ice modeling.​‌ Combining Lagrangian wave growth​​ solutions with the Particle-In-Cell​​​‌ method leads to a​ periodically meshing wave model​‌ on an arbitrary grid​​ that scales in an​​​‌ embarrassingly parallel manner. The​ set of equations solves​‌ for the growth and​​ propagation of a parametric​​​‌ wave spectrum's peak wavenumber​ and total wave energy,​‌ which reduces the state​​ vector size by a​​​‌ factor of 50-200 compared​ to spectral models. Ideally,​‌ PiCLES will only require​​ a fraction of the​​​‌ cost of established wave​ models with sufficient accuracy​‌ for ESMs–rivaling that of​​ spectral models in the​​​‌ open ocean. We will​ evaluate PiCLES against WaveWatchIII​‌ in efficiency and accuracy​​ and discuss planned extensions​​​‌ of its capability. This​ work is in collaboration​‌ with M. Hell, B.​​ Fox-Kemper and T. Protin​​​‌ (PhD).

8.3 Data/Models interactions​ and reduced order modelling​‌

The advantages of data​​ assimilation in parametric space​​​‌ rather than classic grid​ space

Participants: Carlos Granero​‌ Belinchon, Solène Dealbera​​, Pierre Tandeo.​​​‌

Data assimilation (DA) is​ an important tool in​‌ the field of geosciences.​​ However, in the presence​​​‌ of geophysical structures such​ as cyclones or ocean​‌ eddies, classic DA schemes​​ in gridded space fail​​​‌ to properly estimate the​ structure properties, for example,​‌ their position and intensity.​​ In this work, we​​​‌ propose a new DA​ scheme, in a reduced​‌ parametric space, which assimilates​​ only the relevant parameters​​​‌ to describe the structures,​ with an application to​‌ a one-dimensional ocean eddy.​​ Comparison of DA performed​​​‌ in the classic gridded​ field and in the​‌ parametric space is made​​ through a series of​​​‌ experiments with perturbed eddy​ parameters. Results show that​‌ DA in the parametric​​ space can account for​​​‌ the nonlinearity of the​ eddy parameters and preserve​‌ eddy properties. This is​​ not the case for​​ classic DA in the​​​‌ gridded space. Moreover, DA‌ in the parametric space‌​‌ considerably reduces the computational​​ cost.

Identification of system​​​‌ states and reconstruction of‌ missing data

Participants: Pierre‌​‌ Tandeo.

Several studies​​ of the team focus​​​‌ on refining how we‌ identify system states and‌​‌ reconstruct missing data. By​​ evolving traditional analog methods,​​​‌ researchers have developed algorithms‌ that jointly optimize feature‌​‌ selection and distance metrics,​​ allowing for accurate forecasting​​​‌ even with limited datasets.‌ This is complemented by‌​‌ the integration of deep​​ learning with variational data​​​‌ assimilation, where neural networks‌ are used to learn‌​‌ the underlying physics (priors)​​ of a system. By​​​‌ embedding stochastic differential equations‌ into these neural schemes,‌​‌ scientists can now reconstruct​​ complex fields like sea​​​‌ surface height with greater‌ speed and interpretability than‌​‌ traditional linear methods. ODYSSEY​​ also addresses the critical​​​‌ challenges of uncertainty and‌ regime shifts in climate‌​‌ dynamics. To combat the​​ limitations of standard filters​​​‌ in non-Gaussian systems, a‌ hybrid Particle Filter-EnKF approach‌​‌ has been proposed; this​​ method allows for the​​​‌ simultaneous estimation of physical‌ states and the hidden‌​‌ stochastic parameters (like inflation​​ and localization) that often​​​‌ degrade model performance. Finally,‌ the introduction of topological‌​‌ tools, that maps the​​ pathways of flow in​​​‌ a system’s phase space,‌ provide a new framework‌​‌ for identifying tipping points.​​ By analyzing these topological​​​‌ structures, researchers can better‌ predict when a system,‌​‌ such as the Atlantic​​ Meridional Overturning Circulation, is​​​‌ likely to transition between‌ distinct climate regimes.

Reduced‌​‌ Order Modelling for internal​​ waves

Participants: Adrien Acchiardi​​​‌, Virgile Le Gallois‌, Noé Lahaye,‌​‌ Ezra Rozier, Gilles​​ Tissot.

We have​​​‌ finalized the work corresponding‌ to the PhD of‌​‌ Igor Maingonnat (defended December​​ 2024) on the development​​​‌ of statistical modal decomposition‌ methods for the extraction‌​‌ of internal waves scattered​​ by a turbulent mesoscale​​​‌ field and the construction‌ of an estimation algorithm‌​‌ from snapshot observations of​​ the sea surface height.​​​‌ A paper has been‌ published in Ocean Science‌​‌ this year, and we​​ have also proposed a​​​‌ localized version of the‌ algorithm (Dyhia Elhaddad M1‌​‌ internship in 2024), which​​ enables improving the statistical​​​‌ convergence of the decomposition‌ basis (a paper has‌​‌ been published in Theoretical​​ and Computational Fluid dynamics).​​​‌ In continuation of this‌ work, Adrien Acchiardi has‌​‌ begun his PhD in​​ October and is currently​​​‌ investigating a model-driven method‌ based on the resolvent‌​‌ analysis, applied to the​​ coupled eddy / internal​​​‌ tide system, using the‌ Rotating Shallow Water model.‌​‌

Another line of work​​ consists in developing reduced-order​​​‌ strategies for the modelisation‌ of internal tides. As‌​‌ part of Virgille Le​​ Gallois M1 internship, we​​​‌ have worked on the‌ extension of a vertical‌​‌ mode Galerkin decomposition of​​ the 2D (x​​​‌-z) equations‌ for the propagation of‌​‌ internal wave based on​​ a piecewise linear discretization​​​‌ of the bottom topography‌ and a set of‌​‌ exact 2D solutions on​​ a sloping bottom. A​​​‌ paper is under preparation.‌ In the context of‌​‌ Ezra Rozier's postdoc, we​​​‌ have developed a numerical​ model for the generation​‌ and propagation of internal​​ tides in the ocean,​​​‌ based on a discontinuous​ Galerkin method using plane-wave​‌ reconstruction. The main goal​​ of this model, which​​​‌ describes the horizontal +​ time evolution of the​‌ vertically projected modes of​​ internal tides, is the​​​‌ data assimilation of internal​ tides from altimetry data,​‌ where we expect this​​ method to be very​​​‌ efficient in providing an​ accurate solution at very​‌ coarse resolution. At this​​ stage, the model handles​​​‌ the generation and propagation​ of a single vertical​‌ mode, including interaction with​​ a time-varying background flow,​​​‌ and shows promising results​ in term of convergence​‌ of the solution and​​ numerical cost. A paper​​​‌ is under preparation for​ the Journal of Computational​‌ Physics.

Reconstruction of surface​​ and sub-surface dynamics

Participants:​​​‌ Noé Lahaye, Étienne​ Mémin, Gaétan Rigaut​‌.

In the context​​ of Gaétan Rigaut's PhD,​​​‌ we have been pursuing​ to explore modelling strategies​‌ to extend the standard​​ quasi geostrophic equations (a​​​‌ model describing the advection​ of vertical vorticity at​‌ lower order of the​​ Rossby number, i.e. in​​​‌ a regime where the​ Earth rotation is dominant)​‌ as a dynamical model​​ to describe ocean dynamics,​​​‌ and in particular to​ invert observations – e.g.​‌ from altimetry. The problem​​ at hand is to​​​‌ parameterise a bottom current​ – which is not​‌ observed – in order​​ to take into account​​​‌ its influence on the​ evolution of the observed​‌ surface dynamics. The employed​​ strategy is based on​​​‌ the formulation of the​ sub-surface streamfunction using a​‌ reduced order basis of​​ smooth functions, regularized based​​​‌ on a conservation principle​ of the quasi-geostrophic potential​‌ vorticity. The model exhibits​​ good performances compared with​​​‌ state-of-the-art models (1-layer QG​ with reduced-order error term)​‌ in an idealized configuration,​​ and further work will​​​‌ include the application of​ the developed method to​‌ realistic configurations using realistic​​ high-resolution numerical simulations.

8.4​​​‌ AI models and methods​ for ocean data analysis​‌

Analog-based ensembles to characterize​​ turbulent dynamics from observed​​​‌ data

Participants: Carlos Granero​ Belinchon.

We study​‌ the predictability of turbulent​​ velocity signals using probabilistic​​​‌ analog-forecasting. Here, predictability is​ defined by the accuracy​‌ of forecasts and the​​ associated uncertainties. We study​​​‌ the Gledzer-Ohkitani-Yamada (GOY) shell​ model of turbulence as​‌ well as experimental measurements​​ from a fully developed​​​‌ turbulent flow. In both​ cases, we identify the​‌ extreme values of velocity​​ at small scales as​​​‌ localized unpredictable events that​ lead to a loss​‌ of predictability: worse predictions​​ and increase of their​​​‌ uncertainties. The GOY model,​ with its explicit scale​‌ separation, allows to evaluate​​ the prediction performance at​​​‌ individual scales, and so​ to better relate the​‌ intensity of extreme events​​ and the loss of​​​‌ forecast performance. Results show​ that predictability decreases systematically​‌ from large to small​​ scales. These findings establish​​​‌ a statistical connection between​ predictability loss across scales​‌ and intermittency in turbulent​​ flows.

Furthermore, we use​​​‌ analogs for the study​ of the dispersion of​‌ trajectories of stochastic processes​​ in reconstructed phase spaces​​ from observed data. The​​​‌ methodology allows to find‌ ensembles of analog states,‌​‌ i.e. states that are​​ close in the phase​​​‌ space. Once these states‌ are found, we focus‌​‌ on the characterization of​​ their dispersion in function​​​‌ of 1) the time‌ and 2) their initial‌​‌ separation. We study an​​ experimental turbulent velocity measurement​​​‌ and two scale-invariant stochastic‌ processes: a regularized fractional‌​‌ Brownian motion and a​​ regularized multifractal random walk.​​​‌ Both stochastic processes are‌ synthesized to have the‌​‌ same covariance structure as​​ the experimental turbulent velocity,​​​‌ but only the regularized‌ multifractal random walk mimics‌​‌ the intermittency of turbulent​​ velocity. We illustrate that​​​‌ while the covariance structure‌ of the processes governs‌​‌ the time dependence of​​ the dispersion of the​​​‌ analog states, the intermittency‌ phenomenon is responsible of‌​‌ the impact of the​​ initial separation of the​​​‌ analogs on their dispersion.‌

Simulation-informed deep learning for‌​‌ enhanced swot observations of​​ fine-scale ocean dynamics

Participants:​​​‌ Carlos Granero Belinchon,‌ Eugenio Cutolo, Ronan‌​‌ Fablet.

Oceanic processes​​ at fine scales are​​​‌ crucial yet difficult to‌ observe accurately due to‌​‌ limitations in satellite and​​ in-situ measurements. The Surface​​​‌ Water and Ocean Topography‌ (SWOT) mission provides high-resolution‌​‌ Sea Surface Height (SSH)​​ data, though noise patterns​​​‌ often obscure fine scale‌ structures. Current methods struggle‌​‌ with noisy data or​​ require extensive supervised training,​​​‌ limiting their effectiveness on‌ real-world observations. We introduce‌​‌ SIMPGEN (Simulation-Informed Metric and​​ Prior for Generative Ensemble​​​‌ Networks), an unsupervised adversarial‌ learning framework combining real‌​‌ SWOT observations with simulated​​ reference data. SIMPGEN leverages​​​‌ wavelet-informed neural metrics to‌ distinguish noisy from clean‌​‌ fields, guiding realistic SSH​​ reconstructions. Applied to SWOT​​​‌ data, SIMPGEN effectively removes‌ noise, preserving fine-scale features‌​‌ better than existing neural​​ methods. This robust, unsupervised​​​‌ approach not only improves‌ SWOT SSH data interpretation‌​‌ but also demonstrates strong​​ potential for broader oceanographic​​​‌ applications, including data assimilation‌ and super-resolution.

Machine learning‌​‌ for the monitoring and​​ modelling of ocean Bio-Geo-Chemistry​​​‌ dynamics

Participants: Jonathan Gula‌, Ronan Fablet,‌​‌ Saïd Ouala.

We​​ explore machine learning for​​​‌ the modelling, reconstruction and‌ emulation of ocean BGC‌​‌ dynamics. Using state-of-the-art deep​​ learning architectures, such as​​​‌ Unets, the focus is‌ on exploring how to‌​‌ address shortcomings of state-of-the-art​​ model-based schemes. Our contributions​​​‌ are three-fold.

We first‌ demonstrate the ability to‌​‌ train deep learning models​​ to predict the origin​​​‌ of particles trapped by‌ deep-ocean sediment traps (Picard‌​‌ et al., 2025). This​​ work investigated how mesoscale​​​‌ ocean dynamics controlled the‌ subsurface transport and deep-ocean‌​‌ collection of particles in​​ the Northeast Atlantic. Using​​​‌ forward tracking of 51.9‌ million virtual particles released‌​‌ at 200 m depth,​​ the study showed that​​​‌ purely physical processes generated‌ strong spatial and seasonal‌​‌ variability in deep particle​​ collection, with sediment trap​​​‌ location playing a critical‌ role. Machine learning methods‌​‌ were then used to​​ identify particle clusters and​​​‌ to predict the surface‌ origin of particles collected‌​‌ at depth based solely​​ on surface conditions. This​​​‌ approach was successfully extended‌ to real observations using‌​‌ satellite data, demonstrating its​​​‌ potential for interpreting sediment​ trap measurements.

Second, we​‌ showcase on intermediate-complexity case-studies​​ how deep learning can​​​‌ deal with uncertainties in​ physical forcings as well​‌ as partial observations to​​ calibrate ocean BGC models,​​​‌ which classifies in error-prone​ model parameter estimates using​‌ classic data assimilation systems​​ (Littaye et al., 2025).​​​‌

Third, we also address​ the reconstruction of 3D+t​‌ ocean BGC processes in​​ data-sparse context with a​​​‌ focus on oxygen, which​ is a key driver​‌ of ocean BGC dynamics,​​ the model-based reconstruction of​​​‌ ocean BGC dynamics being​ a major challenge for​‌ operational DA systems (Ouala​​ et al., 2025).

Ensemble​​​‌ forecasts in reproducing kernel​ Hilbert space family

Participants:​‌ Maël Jaouen, Étienne​​ Mémin, Gilles Tissot​​​‌.

A methodological framework​ for ensemble-based estimation and​‌ simulation of high dimensional​​ dynamical systems such as​​​‌ the oceanic or atmospheric​ flows is proposed. To​‌ that end, the dynamical​​ system is embedded in​​​‌ a family of reproducing​ kernel Hilbert spaces (RKHS)​‌ with kernel functions driven​​ by the dynamics. In​​​‌ the RKHS family, the​ Koopman and Perron Frobenius​‌ operators are unitary and​​ uniformly continuous. This property​​​‌ warrants they can be​ expressed in exponential series​‌ of diagonalizable bounded evolution​​ operators defined from their​​​‌ infinitesimal generators. Access to​ Lyapunov exponents and to​‌ exact ensemble based expressions​​ of the tangent linear​​​‌ dynamics are directly available​ as well. The RKHS​‌ family enables us to​​ devise of strikingly simple​​​‌ ensemble data assimilation methods​ for trajectory reconstructions in​‌ terms of constant-in-time linear​​ combinations of trajectory samples.​​​‌ Such an embarrassingly simple​ strategy is made possible​‌ through a fully justified​​ superposition principle ensuing from​​​‌ several fundamental theorems. We​ recently extended the numerical​‌ experimentation to a wind-forced​​ three-layers QG model. Localization​​​‌ procedure have been also​ introduced in the proposed​‌ scheme as well as​​ a cheap forward-backward numerical​​​‌ forecast strategy. Very good​ results have been obtained​‌ on realistic configurations.

Hybrid​​ approaches for learning of​​​‌ representations for geophysical dynamics​

Participants: Bertrand Chapron,​‌ Ronan Fablet, Said​​ Ouala.

We focused​​​‌ our efforts on developing​ hybrid numerical models that​‌ couple physical models with​​ machine learning components. The​​​‌ ML component aims to​ correct the physical model​‌ in reproducing a target​​ field through bias correction,​​​‌ learning improved parameterizations, or​ tuning parameters of physical​‌ parameterizations. Training the ML​​ model can be framed​​​‌ as an optimal control​ problem (Frezat et al.,​‌ 2022), and we developed​​ new methods to solve​​​‌ this optimization on non-differentiable​ numerical codes. In this​‌ context, our contributions explore​​ both emulator-based methods (Frezat​​​‌ et al 2023) and​ Euler-type approximations (Ouala et​‌ al 2024) for computing​​ the gradient of the​​​‌ cost function. Current work​ on hybrid modeling focuses​‌ on scaling these developments​​ to large-scale ocean models​​​‌ (Meunier et al 2025)​ used in both global​‌ and regional ocean simulations.​​

Data-driven methods and End-to-end​​​‌ learning for data assimilation​

Participants: Bertrand Chapron,​‌ Lucas Drumetz, Ronan​​ Fablet, Etienne Mémin​​​‌, Pierre Tandeo.​

We developed several data-driven​‌ variational data assimilation methods,​​ addressing various methodological challenges​​ tackled, namely:

  • learning from​​​‌ partial data (incomplete in‌ space and time, in‌​‌ collaboration with A. Frion)​​
  • parameterization of generative/stochastic models​​​‌ enabling the prediction of‌ time series and the‌​‌ resolution of inverse problems​​ with uncertainties (A. Frion,​​​‌ N. El Bekri).

We‌ dedicate a significant research‌​‌ to developing data-driven approaches​​ for data assimilation problems,​​​‌ especially end-to-end neural data‌ assimilation. We distinguish three‌​‌ main directions: methodological developments​​ to bridge model-based data​​​‌ assimilation schemes (e.g., Kalman‌ approaches, Optimal Interpolation, 4DVar‌​‌ schemes) and end-to-end learning​​ schemes (e.g., le Minh,​​​‌ et al., 2025; Fablet‌ et al, in prep),‌​‌ embedding uncertainty quantification in​​ neural DA schemes (e.g.,​​​‌ Beauchamp et al., 2025;‌ Fablet et al., in‌​‌ prep.) as well as​​ developing at-scale demonstrations of​​​‌ end-to-end neural DA schemes‌ for real-world ocean reconstruction‌​‌ and forecasting problems. Regarding​​ the latter, we currently​​​‌ focus on global-scale sea‌ surface dynamics as experimental‌​‌ testtbed.

Neural Prediction of​​ Lagrangian Drift Trajectories on​​​‌ the Sea Surface

Participants:‌ Carlos Graneo Belinchon,‌​‌ Daria Botvynko, Ronan​​ Fablet.

We propose​​​‌ a new deep learning‌ approach for the simulation‌​‌ of Lagrangian drift at​​ the sea surface with​​​‌ the objective to overcome‌ the current limitations of‌​‌ the existing model-based and​​ learning-based methods. The proposed​​​‌ framework, called DriftNet, is‌ inspired by the Eulerian‌​‌ Fokker–Planck representation of Lagrangian​​ drift. DriftNet can simulate​​​‌ the Lagrangian trajectory of‌ a fluid parcel given‌​‌ the corresponding Eulerian sea​​ surface currents and the​​​‌ spatially explicit encoding of‌ the parcel’s initial position.‌​‌

Conditional distribution learning for​​ ensemble data assimilation

Participants:​​​‌ Simon Benaichouche, Étienne‌ Mémin.

Ensemble forecasting‌​‌ has become critically important​​ for managing the uncertainty​​​‌ in future states associated‌ with chaotic numerical weather‌​‌ models. This method relies​​ on forecasting perturbed initial​​​‌ conditions using a dynamical‌ system. While many studies‌​‌ have explored the use​​ of deep learning in​​​‌ geosciences to improve various‌ components of the operational‌​‌ forecasting pipeline—such as data​​ assimilation and the accuracy​​​‌ of numerical models—they often‌ depend on synthetic data.‌​‌ In this work, we​​ introduce a framework that​​​‌ enables the learning of‌ initial perturbations directly from‌​‌ partial observations and physical​​ models. We formulate the​​​‌ problem as a conditional‌ distribution learning task, where‌​‌ the target distribution is​​ explicitly derived as a​​​‌ Gibbs energy associated with‌ a variational cost involving‌​‌ future observations and the​​ dynamic model. Importantly, this​​​‌ formulation allows for learning‌ from non-differentiable models, such‌​‌ as those written in​​ Fortran, thus extending the​​​‌ applicability of deep learning‌ beyond differentiable model contexts.‌​‌ This approach is not​​ limited to assimilation tasks​​​‌ but offers a broader‌ framework for leveraging physical‌​‌ models in various geoscientific​​ applications. Once trained, the​​​‌ model can sample perturbations‌ via Langevin dynamics, enabling‌​‌ robust uncertainty quantification and​​ prediction.

9 Bilateral contracts​​​‌ and grants with industry‌

9.1 Bilateral Grants with‌​‌ Industry

Participants: Carlos Granero​​ Belinchon, Ronan Fablet​​​‌, Pierre Tandeo.‌

  • ADIOS project with SHOM.‌​‌
  • M. Zambra PhD thesis​​ with NavalGroup.
  • CMEMS project​​​‌ 4DVarNET-OFDA with CLS, OceanDataLab‌ (P. Tripathi PhD thesis).‌​‌
  • H2020 project EditoModelLab with​​​‌ MercatorOceanIntl (D. Botvinko PhD​ thesis).
  • Grants with OceanDataLab,​‌ SHOM, CNES, NavalGroup, Eodyn.​​
  • contract with FEM (25​​​‌ k€), Tessa Chevalier PhD​ thesis

10 Partnerships and​‌ cooperations

10.1 International initiatives​​

10.1.1 Participation in other​​​‌ International Programs

  • Collaboration with​ Univ. of Exeter and​‌ UCLA, in the context​​ of the UKRI Future​​​‌ Leaders fellowship COSSMoSS (​Jonathan Gula )

10.2​‌ International research visitors

10.2.1​​ Visits of international scientists​​​‌

Other international visits to​ the team
Magdalena Lucini​‌

from Univ. Corrientes (Argentina),​​ visit to IMT Atlantique​​​‌ Jan-Feb 2025, collab with​ Pierre Tandeo

Manuel Pulido​‌

from Univ. Corrientes (Argentina),​​ visit to IMT Atlantique​​​‌ Jan-Feb 2025, collab with​ Pierre Tandeo

Takemasa Miyoshi​‌

from RIKEN (Japan), visit​​ to IMT Atlantique May-June​​​‌ 2025, collab. with Pierre​ Tandeo .

10.2.2 Visits​‌ to international teams

Research​​ stays abroad
Etienne Mémin​​​‌
  • Visited institution:
    Imperial College,​ London
  • Country:
    UK
  • Dates:​‌
    march - April, May​​ - June 2025
  • Context​​​‌ of the visit:
    colaboration​ with D. Crisan and​‌ D. Holm
  • Mobility program/type​​ of mobility:
    CNRS/Imperial Fellowship​​​‌ UMI Abraham de Moivre,​ visiting professor

10.3 National​‌ initiatives

PPR Maths-Vives

Participants:​​ Etienne Mémin.

Project​​​‌ CLIMATH on the elaboration​ of fundamental tools for​‌ uncertainty forecasting.

PPR CLIMArcTIC​​

Participants: Pierre Tandeo,​​​‌ Ronan Fablet, Lucas​ Drumetz, Florian Sévellec​‌.

The CLIMARCTIC project​​ (“From regional to global​​​‌ impacts of climate change​ in the Arctic :​‌ an interdisciplinary perspective”) is​​ a PPR “Océan et​​​‌ Climat” project (Océan 2030;​ PI: C. Lique, LOPS​‌ Ifremer) that aims at​​ improving our understanding of​​​‌ climate change in the​ arctic, both at regional​‌ and global scales. F.​​ Sévellec is in charge​​​‌ of WP1, Pierre Tandeo​ is co-PI with C.​‌ Lique (Ifremer, LOPS) and​​ R. Fablet and L.​​​‌ Drumetz participate to WP1.​

PPR MEDIATION

Participants: Etienne​‌ Mémin, Carlos Granero​​ Belinchon, Pierre Tandeo​​​‌.

The MEDIATION project​ aims at improving and​‌ developing better numerical code​​ of the ocean dynamics.​​​‌ E. Mémin is co-PI​ of WP2 “parametrisation stochastique​‌ et quantification d'incertitude” and​​ participate to WP3 “Modèles​​​‌ sous maille”. P. Tandeo​ and C. Granero Belinchon​‌ participate to WP4 “IA​​ pour les codes océaniques”.​​​‌

ANR Chair: OceaniX

Participants:​ Ronan Fablet, Florian​‌ Sévellec.

“Physics-Informed AI​​ for Observation- driven Ocean​​​‌ AnalytiX” (PI: R. Fablet).​ Collaboration with L. Memery​‌ (CNRS, LEMAR).

ANR PRC​​ : PORC-EPIC

Participants: Florian​​​‌ Sévellec, Pierre Tandeo​.

Project during the​‌ period 2024-2028. PI: F.​​ Sévellec, 450.000€, including 150.000€​​​‌ for IMT Atlantique.

ANR​ PRC : MOTIONS

Participants:​‌ Jonathan Gula, Noé​​ Lahaye.

Simulations océaniques​​​‌ multi-échelles basées sur une​ stratégie de raffinement de​‌ maillage avec adaptation locale​​ de la dynamique et​​​‌ de la physique. PI:​ Florian Lemarié.

ANR Melody​‌

Participants: Ronan Fablet.​​

“Bridging geophysics and MachinE​​​‌ Learning for the modeling,​ simulation and reconstruction of​‌ Ocean DYnamics”. (PI: R.​​ Fablet). Collaboration with P.​​​‌ Naveau (LSCE), J. Le​ Sommer (IGE), F. Rousseau​‌ (IMT Atlantique), L. Debreu​​ (INRIA GRA).

ANR SCALP​​​‌

Participants: Carlos Granero Belinchon​.

With LadHyx, LISN​‌ and INRIA Saclay.

ANR​​ Dream

Participants: Ronan Fablet​​.

Collaboration with E.​​​‌ Martinez (LOPS) and M.‌ Lengaigne (MARBEC).

ANR HERCULES‌​‌

Participants: Xavier Carton.​​

PI: Maria Eletta Negretti,​​​‌ 2022-2025

ANR JCJC ModITO‌

Participants: Noé Lahaye.‌​‌

“Modelling the Internal Tide​​ in the Ocean” project​​​‌ aims at developing a‌ data assimilation model for‌​‌ the ocean internal tide​​ field, in the context​​​‌ of the SWOT mission.‌ (PI: N. Lahaye, fin‌​‌ en 2026).

ANR JCJC​​ SCALES

Participants: Carlos Granero​​​‌ Belinchon.

“Statistical ChAracterization‌ of multi-scaLE complex Systems‌​‌ with information theory” (PI:​​ C. Granero Belinchon, fin​​​‌ en 2025).

ANR JCJC‌ DEEPER

Participants: Jonathan Gula‌​‌.

“Impacts of DEep​​ submEsoscale Processes on the​​​‌ ocEan ciRculation” (PI: J.‌ Gula), 2020 – 2025.‌​‌ The goals of the​​ DEEPER project are to​​​‌ quantify the impacts of‌ deep submesoscale processes and‌​‌ internal waves on mixing​​ and water mass transformations.​​​‌ In addition, the DEEPER‌ project will explore ways‌​‌ of parameterizing these impacts​​ using the latest advances​​​‌ in machine learning.

LEFE-MANU:‌ SNOEMI

Participants: Quentin Jamet‌​‌, Étienne Mémin.​​

“A Stochastic description of​​​‌ Non-lOcal Eddy-Mean flow Interactions”,‌ 2024–2026. The aim of‌​‌ this project is to​​ providing first steps in​​​‌ the direction of accounting‌ for non-local processes in‌​‌ the development of sub-grid​​ scale parameterizations for Ocean​​​‌ General Circulation models through‌ stochastic modelling.

LEFE-MANU: ADVECT‌​‌

Participants: Noé Lahaye,​​ Gilles Tissot.

“Assimilation​​​‌ de Données Variationnelle et‌ d'Ensemble par modèles d'ordre‌​‌ réduit des interactions entre​​ ondes internes et CouranTs”,​​​‌ 2024–2026.

LEFE-GMMC: OxUMAS

Participants:‌ Xavier Carton.

Oxygen‌​‌ minimum zone & Upwelling​​ measured at Mesoscale in​​​‌ the Arabian Sea. 2025-2026‌

ESA CROSCIM

Participants: Ronan‌​‌ Fablet.

2024–2026. Collaboration​​ with M. Beauchamp (DMI,​​​‌ Danemark).

CMEMS SE Oceanbench-STOF‌

Participants: Ronan Fablet.‌​‌

2024–2026. Collaboration with L.​​ Gautier (OceanDataLab).

TOSCA CNES​​​‌ projects
  • DIEGOB
    (SWOT science‌ team). Participants: A. Ponte‌​‌ (PI), J. Gula, N.​​ Lahaye, P. Tandeo, R.​​​‌ Fablet, C. Menesguen.
  • THEIA‌
    PI: C. Granero Belinchon.‌​‌
  • CNES OSTST DUACS HR​​
    Ronan Fablet, 2024–2028. Collaboration​​​‌ with L. Renaud (IRD,‌ LEGOS).
  • SWOT ST DIEGO‌​‌
    Ronan Fablet, 2024–2028. Collaboration​​ with A. Pascual (IMEDEA,​​​‌ spain).
Project WHIRLS

Participants:‌ Xavier Carton.

FMAC‌​‌ and GMMC Coriolis support.​​ 2025-2027

Inrae-Inria Funding

Participants:​​​‌ Etienne Mémin.

PhD‌ thesis of Merveille Talla,‌​‌ on the development of​​ diffusion generative models applied​​​‌ to turbulent flows. Collaboration‌ with Dominique Heitz and‌​‌ Valentin Resseguier (ACTA Inrae​​ Rennes team).

Action exploratoire​​​‌ “KoopduMonde”

Participants: Gilles Tissot‌, Étienne Mémin.‌​‌

This project (“Koopman operator​​ modelling of non-linear dynamical​​​‌ systems for ensemble methods”)‌ consists in expressing the‌​‌ Koopman operator associated with​​ a high-dimensional geophysical dynamical​​​‌ system in a family‌ of reproducing kernel Hilbert‌​‌ spaces. The interest is​​ to learn the non-linear​​​‌ dynamics, locally in the‌ phase space, in order‌​‌ to solve efficiently ensemble​​ data assimilation problems. Multi-layer​​​‌ quasi-geostrophic models representative of‌ the Gulf stream area‌​‌ is considered in this​​ work.

10.4 Regional initiatives​​​‌

  • ARED PhD funding (50%),‌ project MERMAID. Gilles Tissot‌​‌ , Noé Lahaye ,​​ Etienne Mémin

11 Dissemination​​​‌

11.1 Promoting scientific activities‌

11.1.1 Scientific events: organisation‌​‌

  • Saïd Ouala and Gilles​​​‌ Tissot : organization of​ the LEFE/MANU workshop in​‌ Plouzané (7-8 Oct. 2025​​ – manu2025.sciencesconf.org)
  • Bertrand​​​‌ Chapron & Etienne Mémin​ : members of the​‌ organizing committee of the​​ 5th STUOD workshop, September,​​​‌ Edinburgh.

11.1.2 Journal

Member​ of the editorial boards​‌
  • Pierre Tandeo is editor​​ for Nonlinear Processes in​​​‌ Geophysics (EGU)
  • Jonathan Gula​ is associate editor for​‌ Journal of Physical Oceanography.​​
Reviewer - reviewing activities​​​‌
  • Pierre Tandéo is a​ reviewer for “Quarterly Journal​‌ of the Royal Meteorological​​ Society”.
  • Roger Lewandowski has​​​‌ reviewed for “Journal of​ Mathematical Fluid Mechanics” and​‌ “Physica D, Nonlinear Analysis”.​​
  • Carlos Granero Belinchon has​​​‌ reviewed for “Physica A”,​ “Physical Review E”, “Physical​‌ Review Fluids” and “Physical​​ Review Letters”.
  • Jonathan Gula​​​‌ is reviewer for ANR,​ Emmy Noether Programme, Bourse​‌ AID CNRS, Earth and​​ Space Science, JGR-Oceans, Journal​​​‌ of Physical Oceanography, Science​ Advances.
  • Noé Lahaye :​‌ “Journal of Physical Oceanography”,​​ “EGU Ocean Science”, “Journal​​​‌ of Fluid Mechanics”, “JAMES”,​ “Journal of Geophysical Research:​‌ Ocean”.
  • Etienne Mémin is​​ reviewer for "J. Fluid​​​‌ Mech.", JAMES", "J. Comp.​ Phys.", "Physica D", "Chaos",​‌ Ocean Modelling, ERC advanced​​ grant.
  • Claire Ménesguen has​​​‌ reviewed for "J. Phys.​ Oceanogr.", "JAMES" and "GRL".​‌
  • Aurélien Ponte has reviewed​​ for “J. Phys. Oceanogr.”,​​​‌ EGU Ocean Science.
  • Gilles​ Tissot : Nature communications,​‌ Journal of Fluid Mechanics,​​ JFM Rapids, Journal of​​​‌ Computational Physics, Theoretical and​ Computational Fluid Dynamics, Non-linear​‌ Dynamics, Nonlinear Processes in​​ Geosciences, Communications engineering.

11.1.3​​​‌ Invited talks

  • Pierre Tandeo​ : invited talks at​‌ the "Workshop on Uncertainty​​ Quantification in Climate Science"​​​‌ (IHP Paris)
  • Etienne Mémin​ : keynote speaker, "Modern​‌ Approaches in SPDEs &​​ DA", Sibiu Roumania, 28​​​‌ July - 2 August​ 2025
  • Jonathan Gula :​‌ invited oral presentation, "Submesoscale​​ turbulence in the deep​​​‌ ocean", CELLO Conference, Hamburg,​ Germany, Sep. 16, 2025​‌
  • Roger Lewandowski : main​​ speaker at RAMA 13​​​‌ congress, Tamnarasset; invited mini-course​ at VIASM (Hanoï)

11.1.4​‌ Scientific expertise

  • Ronan Fablet​​ is member of CS​​​‌ LEFE-MANU, CS GDR Omer,​ CST SHOM and science​‌ Board Mercator Ocean Intl.​​ He is scientific and​​​‌ technical coordinator of the​ action IA of PPR​‌ “Océan & Climat” to​​ setup benchmarks IA/ocean and​​​‌ a call for postdocs​ fundings (8 to 9​‌ postdocs of 2 years).​​
  • Étienne Mémin is member​​​‌ of the SMAI GAMNI​ (Applied and Industrial Mathematical​‌ Society Comittee – section​​ numerical methods for engineering)​​​‌
  • Claire Menesguen is member​ of CS LEFE CLIMAGO,​‌ section 19 CNRS and​​ GENCI CT1.
  • Gilles Tissot​​​‌ is member of CS​ CLIMAT AmSud.

11.1.5 Research​‌ administration

  • Ronan Fablet is​​ a member of the​​​‌ ANR committee for AAP​ ASTRID.
  • Jonathan Gula is​‌ a member of the​​ commitee CNES – TOSCA​​​‌ Océan.
  • Roger Lewandowski :​ member of IRMAR head​‌ commity, CA of Rennes​​ University, Rennes University commitee​​​‌ for ecological transition of​ l'Université de Rennes, council​‌ of the department of​​ mathematics.
  • Claire Menesguen is​​​‌ member of section 19​ of CNRS.

11.2 Teaching​‌ - Supervision - Juries​​ - Educational and pedagogical​​​‌ outreach

  • Jonathan Gula :​ M2 Marine Physics (192h),​‌ IUEM, Brest: Numerical Modelling​​ (M2); Ocean Turbulence (M2);​​ Scientific English (M2); Coastal​​​‌ Dynamics (M2); Internal Waves‌ (M2); Fluids (M1); Applied‌​‌ Mathematics (M1); Numerical Physics​​ (L3)
  • Noé Lahaye :​​​‌ Fluid Mechanics, L3 INSA‌ Rennes.
  • Roger Lewandowski :‌​‌ Course ANAM, Master CSM,​​ course ED2, Licence of​​​‌ mathematics in University of‌ Rennes; Mini cours at‌​‌ CIRM (Marseille, November)
  • Pierre​​ Tandeo : Probability and​​​‌ Statistics (40h/year), Machine Learning‌ and Deep Learning (20h/year),‌​‌ Big Data and Cloud​​ Computing for Climate (30h/year),​​​‌ Data Assimilation (30h/year). IMT‌ Atlantique
  • Gilles Tissot :‌​‌ Reduced-order modelling for fluid​​ flows (M2 CSM U.​​​‌ Rennes, 20h).
  • Carlos Granero‌ Belinchon : Probabilité et‌​‌ Statistiques (IMT Atlantique, 40​​ h/an), Analyse et Optimisation​​​‌ (IMT Atlantique, 20 h/an),‌ Traitement du signal (IMT‌​‌ Atlantique, 20 h/an), Physique​​ quantique (IMT Atlantique, 10​​​‌ h/an), Big data and‌ cloud computing pour le‌​‌ climat (IMT Atlantique &​​ M2 IUEM, 15 h/an),​​​‌ projects on recent advances‌ in machine learning (IMT‌​‌ Atlantique, 20 h/an)

11.2.1​​ Supervision

  • PhD in progress:​​​‌ Adrien Acchiardi, started in‌ Oct. 2025, supervised by‌​‌ Gilles Tissot , Noé​​ Lahaye and Etienne Mémin​​​‌ .
  • PhD in progress:‌ Emilio Gonzales, started in‌​‌ 2024 (IMT Atlantique). Pierre​​ Tandeo : supervisor
  • PhD​​​‌ in progress: Clément Lacrouts,‌ started in 2024 (IFREMER).‌​‌ Pierre Tandeo : supervisor​​
  • PhD in progress: Gwendal​​​‌ Saliou, started in 2024‌ (IFREMER). Pierre Tandeo :‌​‌ supervisor
  • PhD in progress:​​ Tessa Chevalier, started in​​​‌ 2024 (FEM & IMT‌ Atlantique). Pierre Tandeo :‌​‌ supervisor
  • PhD in progress:​​ Gaetan Rigaut, simplified models​​​‌ of upper ocean dynamics‌ in the context of‌​‌ satellite data of new​​ generation, started November 2024,​​​‌ supervised by N. Lahaye‌ and E. Mémin.
  • PhD‌​‌ in progress: Sébastien Moskowitz,​​ Stochastic modelling of oceanic​​​‌ flow, small-scale dynamics, started‌ October 2024.
  • PhD in‌​‌ progress: Matteo Nex, Stochastic​​ methods for uncertainty modelling​​​‌ and quantification in coupled‌ physical biogeochemical ocean models,‌​‌ started October 2024.
  • PhD​​ in progress: V. Mokuenko,​​​‌ started in 2024, UBO,‌ co-supervised by X. Carton‌​‌ and J. Gula.
  • PhD​​ in progress: Antoine Moneyron,​​​‌ Mathematical analysis of stochastic‌ ocean dynamics models, started‌​‌ March 2023, supervisors: Arnaud​​ Debussche, Étienne Mémin.
  • PhD​​​‌ in progress: Mael Jaouen,‌ Learning of ocean dynamics‌​‌ models through Koopman operator​​ and Kernel methods, started​​​‌ June 2023, supervisors: Étienne‌ Mémin, Gilles Tissot.
  • PhD‌​‌ in progress: Benoit Presse,​​ since Sept. 2023, (UBO,​​​‌ ANR REPLICA). Pierre Tandeo:‌ supervisor.
  • PhD in progress:‌​‌ Merveille Talla, Generative diffusion​​ methods for turbulent flows,​​​‌ started october 2023, supervisors:‌ Dominique Heitz, Étienne Mémin,‌​‌ Valentin Resseguier.
  • PhD in​​ progress: R.  Ravasse, 2023​​​‌ - 2026. Structure and‌ dynamics of submesoscale coherent‌​‌ vortices in the ocean.​​ Supervisors: Xavier Carton ,​​​‌ Jonathan Gula .
  • PhD‌ in progress: Axel Tassigny‌​‌ (Ecole Polytechnique=, Fine-scale dynamics​​ in the straits of​​​‌ Gilbraltar from lab experiments‌ (X. Carton, 20% co-mentoring‌​‌ with M. Eletta Negretti​​ and J. Sommeria)
  • PhD​​​‌ in progress: Anastasia Volorio-Galea‌ (X. Carton, 20% co-mentoring‌​‌ with P. Rivière)
  • PhD​​ in progress: P. Aimé,​​​‌ IMT ATlantique, supervisors: L.‌ Drumetz, M. Dalla Mura‌​‌ (Gipsa-lab), T. Bajjouk (IFREMER),​​ R. Garello (IMT Atlantique).​​​‌
  • PhD in progress: Hugo‌ Georgenthum, IMT Atlantique, supervisors:‌​‌ L. Drumetz (Odyssey), J.​​​‌ Le Sommer (CNRS/IGE), D.​ Greenberg (HEREON) and R.​‌ Fablet (Odyssey).
  • PhD in​​ progress: Nafoual El Bekri,​​​‌ UBO, supervisors: L. Drumetz​ and F. Vermet (UBO/EURIA).​‌
  • PhD in progress: Adrien​​ Stella, “Dynamique du phytoplancton​​​‌ et processus sous-jacents dans​ l’océan Arctique sur la​‌ base d’observations et d’apprentissage​​ profond”, LOPS & IMT​​​‌ Atlantique (Lucas Drumetz: co-supervisor).​
  • PhD in progress: Daria​‌ Botvynko, ENIB/Lab-STICC. Supervisors: Carlos​​ Granero Belinchon, A. Benzinou​​​‌ and R. Fablet.
  • PhD​ in progress: J. Littaye,​‌ UBO CNRS/Lab-STICC, co-supervised by​​ L. Memery (CNRS/LEMAR) and​​​‌ R. Fablet.
  • PhD in​ progress: M. Zambra, IMT​‌ Atlantique, co-encadrement avec D.​​ Cazau (ENSTA Bretagne/IGE), N.​​​‌ Farrugia (IMT Atlantique/Lab-STICC), A.​ Gense (NavalGroup) et R.​‌ Fablet (Odyssey).
  • PhD in​​ progress: P. Beauchot, ENSTA​​​‌ Bretagne,. Supervisors: F. Sévellec​ (CNRS/LOPS), A. Drémeau (ENSTA​‌ Bretagne/Lab-STICC) and R. Fablet​​ (Odyssey).
  • PhD in progress:​​​‌ Margot Demol (Ifremer), 2022​ - 2024. "Estimating the​‌ Ocean Circulation in the​​ SWOT era », supervisors:​​​‌ Aurélien Ponte, Pierre Gareau.​
  • PhD in progress: Mariana​‌ Lage (Helmhotz-Zentrum Hereon -​​ Germany), 2021-2024, « Small-scale​​​‌ variability of turbulence and​ stratification in the Surface​‌ Mixed Layer », Supervisors:​​ Claire Menesguen, Jeff Carpenter.​​​‌
  • PhD in progress: Yao​ Meng (Exeter), 2021-2024. «​‌ Investigating Submesoscale Ocean Dynamics​​ in the Mozambique Channel​​​‌ with Seismic and Simulation​ Datasets », supervisors: K.​‌ Sheen, K. Gunn, C.​​ Menesguen, I. Ashton.
  • PhD​​​‌ in progress: Théo Picard,​ “Data‐driven MOdeling and sampling​‌ to MOnitor PARticle origins​​ in deep sediment traps”,​​​‌ 2021 - 2024. Supervisors:​ J. Gula, L. Memery​‌ (LEMAR), R. Fablet.
  • PhD​​ in progress: Parth Tripathi,​​​‌ IMT Atlantique, co-supervised by​ B. Chapron, F. Collard.​‌
  • PhD in progress: Alice​​ Laloue, CNES/LEGOS, co-dsupervised by​​​‌ L. Renault (IRD, LEGOS),​ S. Pujol (CLS) and​‌ R. Fablet.
  • PhD in​​ progress: Daniel Zhu, IMT​​​‌ Atlantique/Lab-STICC, co-supervised by J.​ Le Sommer (DR CNRS,​‌ IGE) et F. Rousseau​​ (PR, IMT Atlantique, LATIM)​​​‌ and R. Fablet.
  • PhD​ in progress: Tom Protin,​‌ Ifremer, co-supervised by B.​​ Chapron, V. Resseguier and​​​‌ R. Fablet.
  • PhD in​ progress: Robin Marcille, ITE​‌ FEM, co-supervised by Pierre​​ Pinson (Prof. ICL) and​​​‌ Ronan Fablet.
  • PhD in​ progress: Nicolas Lafon, CNRS/LSCE,​‌ co-supervised by Philippe Naveau​​ (CNRS, LSCE) and Ronan​​​‌ Fablet.
  • PhD defended: Perrine​ Bauchot, “Intelligence artificielle pour​‌ l’observation de l’environnement marin”,​​ ENSTA Bretagne. Bourse ANR​​​‌ Chair OceaniX. Co-supervisors: F.​ Sévellec, A. Drémeau (MC​‌ HDR, ENSTA Bretagne), R.​​ Fablet.
  • PhD defended: Mathis​​​‌ Grangeon (DGA/Region Bretagne), 2021​ - 2023: "Acoustic geolocation​‌ and small-scale ocean variability",​​ supervisors: Aurélien Ponte, François-Xavier​​​‌ Socheleau, Florent Le Courtois.​
  • PhD defended: Noémie Schifano,​‌ “Tracer transport and mixing​​ in the bottom mixed-layer”.​​​‌ Supervisors: J. Gula, C.​ Vic.
  • PhD defended: Anthony​‌ Frion, “méthodes d’apprentissage de​​ systèmes dynamiques et assimilation​​​‌ variationnelle basées données en​ utilisant l’opérateur de Koopman”,​‌ IMT Atlantique (Lucas Drumetz:​​ supervisor).
  • PhD defended: Guillaume​​​‌ Leloup, IRMAR, Méthodes numériques​ pour le couplage de​‌ deux fluides turbulents. supervisor:​​ R. Lewandowski (IRMAR).
  • PhD​​​‌ defended: Margot Demol, supervised​ by Aurélien Ponte.
  • PhD​‌ defended: Ewen Frogé, (IMT,​​ ANR Scales). Carlos Granero​​​‌ Belinchon: co-supervisor.
  • PhD defended:​ C. Lemaréchal, “Deep Hydrodynamic​‌ Processes near Hydrothermal vents”.​​ Supervisors: J. Gula, G.​​ Roullet
  • PhD defended: Yan​​​‌ Barabinot, LMD/ENS. (co-supervised by‌ X. Carton with S.‌​‌ Speich).

11.2.2 Juries

  • Pierre​​ Tandeo : PhD defense​​​‌ of Victor Bertret (Univ.‌ Rennes), Dina Rapp (DMI,‌​‌ Danemark), Gimena Casaretto (Univ.​​ Buenos Aires)
  • Noé Lahaye​​​‌ : PhD defense of‌ Cyprien Le Maréchal (LOPS,‌​‌ UBO), Noémie Schifano (LOPS,​​ UBO) and Cécile Le​​​‌ Dizes (IMFT, Univ Toulouse)‌
  • Etienne Mémin : HDR‌​‌ defense of Lionel Mathelin​​ (Paris Saclay, October 2025);​​​‌ PhD defense of Sophie‌ Moran (IRIT Toulouse, Reviewer,‌​‌ Fevrier 2025); PhD defense​​ of Marius Duvillard (Paris​​​‌ Saclay, Reviewer, January 2025)‌
  • Jonathan Gula : PhD‌​‌ defense of M. Jakes​​ (University of Tasmania); HDR​​​‌ defense of W. Llovel‌ (LOPS)
  • Xavier Carton :‌​‌ PPhD defense of A.​​ Chauchat (IRPHE, Univ Aix​​​‌ Marseille) – referee; PhD‌ defense of B. Pratama‌​‌ (LOPS, UBO) – Chairman;​​ PhD defense of R.​​​‌ Bajon (LOPS, UBO) –‌ Chairman; PhD defense of‌​‌ A. K. Thiam (LEGOS,​​ UPS Toulouse) – Chairman.​​​‌

11.2.3 Educational and pedagogical‌ outreach

  • Roger Lewandowski :‌​‌ publication of a textbook​​ (Dunod): "Mathématiques pour la​​​‌ modélisation", Dunod, Paris, collection‌ Mathématiques appliquées pour le‌​‌ Master/SMAI, 2025. (French)

12​​ Scientific production

12.2 Publications​​​‌ of the year

International‌ journals

International‌ peer-reviewed conferences

Conferences without proceedings​‌

Reports‌​‌ & preprints

Other scientific publications

Scientific popularization​