I am currently doing a postdoc with Antoine Rousseau and Gwladys Toulemonde in the LEMON team at the INRIA antenna of the University of Montpellier. This project is also in collaboration with Luis Marti and Nayat Sanchez-Pi from INRIA Chile. I am working on downscaling models for urban floods simulations with AI tools. Previously, I was a postdoc with Marc Massot, Teddy Pichard and Samuel Kokh at CMAP, Ecole Polytechnique, where I was working on numerical methods for multiscale two-phase flows models. I completed my PhD in Nov. 2020 on time domain decomposition methods and finite volume schemes on staggered grids at LJLL, Sorbonne Université and CEA under the supervision of Yvon Maday and Marc Tajchman. A complete CV is available here (last update 04/2024).
Contact
- Email: katia.ait-ameur@inria.fr
- Address: Bât 5 – CC05 018, Campus St Priest, 860 Rue Saint Priest, 34095 Montpellier Cedex 5
Research interests
- Physics-based Neural networks for Shallow Water Equations
- Finite Volume and Discontinous Galerkin schemes for nonlinear hyperbolic systems
- Realizable high order numerical methods for moments models
- Finite volume schemes on staggered grids
- Implicit-Explicit numerical methods based on acoustic-transport splitting
- Space and time domain decomposition methods
- Parareal algorithm
- Schwarz methods with optimized transmission conditions
- Applications
- Urban flood hazard assessment
- Two phase flows models from separated to dispersed phase regime: fuel injection in engines
- Two phase flows for nuclear safety studies
Publications
- Articles
- K. A., S. Kokh, M. Massot, M. Pelanti, T. Pichard. A Lagrange-projection like splitting method for the isentropic Baer-Nunziato model, ESAIM: Proceeding and surveys, 72, pp. 94-116, 2023, Preprint, PDF
- K. A., Y. Maday. Multi-step variant of the parareal algorithm: convergence analysis and numerics, ESAIM: M2AN, Volume 58, Number 2, pp. 673-694, 2024, Preprint, PDF
- K. A., M. Essadki, M. Massot, T. Pichard. Limitation strategies for high-order discontinuous Galerkin schemes applied to Eulerian models of polydisperse sprays, under review, Preprint
- Proceedings
- K. A., Y. Maday, M. Tajchman. Time-parallel algorithm for two phase flows simulation, Lecture Notes of the XVIII Jacques-louis Lions Spanish-french School, Numerical Simulation in Physics and Engineering – Trends and Applications, pp. 169-178 , 2019,
Preprint, PDF - K. A., Y. Maday, M. Tajchman. Multi-step variant of parareal algorithm, Domain Decomposition Methods in Science and Engineering XXV, Lecture Notes in Computational Science and Engineering (LNCSE, volume 138), pp. 393-400, 2020, Preprint, PDF
- K. A., M. Ndjinga. A new class of L^2-stable schemes for the isentropic Euler equations on staggered grids, Proceedings Finite Volumes for Complex Applications IX – Methods, Theoretical Aspects, Examples (FVCA 2020, vol 323), pp. 425-433, 2020, Preprint, PDF
- K. A., M. Ndjinga. TVD analysis of a (pseudo-)staggered scheme for the isentropic Euler equations, In: Franck, E., Fuhrmann, J., Michel-Dansac, V., Navoret, L. (eds) Finite Volumes for Complex Applications X-Volume 2, Hyperbolic and Related Problems. FVCA 2023. Springer Proceedings in Mathematics & Statistics, vol 433. Springer, Cham, pp. 249-257, 2023, Preprint, PDF
- K. A., Y. Maday, M. Tajchman. Time-parallel algorithm for two phase flows simulation, Lecture Notes of the XVIII Jacques-louis Lions Spanish-french School, Numerical Simulation in Physics and Engineering – Trends and Applications, pp. 169-178 , 2019,
- PhD thesis
- Contributions to the parallel simulation of two-phase flows and analysis of finite volume schemes on staggered grids. Sorbonne University, 2020, PhD thesis
Talks in national and international conferences, invitations to seminars
- Jan. 2024: Seminar ACSIOM, IMAG, Université de Montpellier.
- Dec. 2023: Scientific Days INRIA Chile 2023, Universidad de Concepción, Chile.
- Jun. 2023: Workshop on Assimilation, Control and Computayional Speedup, Université Sorbonne Paris Nord.
- May 2023: Seminar EDP et Calcul Scientifique, LMRS, Université de Rouen.
- Apr. 2023: 11th International Conference on Multiphase Flow (ICMF 2023), Kobe, Japan.
- Mar. 2023: Seminar Analyse Appliquée, Institut de Mathématiques de Marseille, Aix-Marseille Université.
- Feb. 2023: SIAM Conference on Computational Science and Engineering (CSE23), Amsterdam.
- Nov. 2022: Workshop Schémas numériques de Type Boltzmann, Institut de Mathématiques de Bordeaux, Bordeaux.
- Sept. 2022: New Trends in Complex Flows, Institut Henri Poincaré, Paris.
- Jun. 2022: ECCOMAS Congress, Oslo.
- Jun. 2022: CANUM, Evian-les-bains.
- Mar. 2022: LAGA seminar, Université Sorbonne Paris Nord.
- Mar. 2022: ANEDP seminar, Laboratoire Paul Painlevé, Université de Lille.
- Nov. 2021: EDPA seminar, Université de Poitiers.
- Jun. 2021: SMAI Congress, Grande-Motte.
- Mar. 2021: Copper Mountain Conference on Multigrid Methods, virtual format.
- Dec. 2020: CANUMJ Numerical analysis congress for young researcher, virtual format.
- Jun. 2019: ANR project CINE-PARA day, Université Paris Dauphine.
- May 2019: SMAI Congress, Morbihan.
- Jul. 2018: International domain decomposition methods conference DD25, Canada.
- Jun. 2018: 7th Workshop on Parallel in time integration, Roscoff.
Teaching
- 2020, 2021: Supervising a project about the simulation of Arenstorf orbits with the parareal algorithm, École Polytechnique
- 2019: Course on numerical methods for nonlinear hyperbolic systems (15h), CEA
- 2018-2019: Exercises part of the course “Maths for scientific studies” for 1st year students (60h), BSc. Physics, Sorbonne Université
- 2017-2018: Computational classes of C programming for the course “ODEs and numerical methods” for 3rd year students (30h), Sup Galilée engineering school, Université Sorbonne Paris Nord
