Katia Ait-Ameur
I am currently doing a postdoc with Marc Massot, Teddy Pichard and Samuel Kokh at CMAP, Ecole Polytechnique, where I
am 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 03/2023).
Contact
Research interests
- 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
- Two phase flows models from separated to dispersed phase regime: fuel injection in engines
- Two phase flows for nuclear safety studies
Publications
- 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
- Contributions to the parallel simulation of two-phase flows and analysis of finite volume schemes on staggered
grids. Sorbonne University, 2020,
PhD thesis
- K. A., S. Kokh, M. Pelanti, M. Massot, T. Pichard. An acoustic-transport splitting method for the barotropic
Baer-Nunziato two-phase flow model, accepted in ESAIM Proceedings and Surveys,
Preprint
- K. A., Y. Maday. Multi-step variant of the parareal algorithm: convergence analysis and numerics, under review,
Preprint
- K. A., M. Essadki, S. Kokh, M. Massot, T. Pichard. Limitation strategies for high-order discontinuous Galerkin
schemes applied to Eulerian
models of polydisperse sprays, To be submitted to SIAM Journal on Scientific Computing
Talks in national and international conferences, invitations to seminars
- Apr. 2023: 11th International Conference on Multiphase Flow (ICMF 2023), Kobe, Japan.
- 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
- 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