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portfolio
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publications
High Order Accurate Schemes for Euler and Navier-Stokes Equations on Staggered Cartesian Grids
Published in Journal of Computational Physics, 2020
We present in this paper a new class of staggered schemes for solving the compressible 1D Euler equations in internal energy formulation on uniform grids.
Recommended citation: Lespagnol F, Dakin G. (2020). " High order accurate schmes for Euler and Navier-Stokes equations on staggered Cartesian grids. " Journal of Computational Physics.
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A New Computational Approach for Fluid-Structure Interaction of Slender Bodies Immersed in Three-Dimensional Flows
Published in HAL, 2024
My PhD dissertation aims to develop a new modelling and computational approach for the simulation of slender bodies immersed in three dimensional flows.
Recommended citation: Lespagnol F. (2024). "A new computational approach for fluid-structure interaction of slender bodies immersed in three-dimensional flows. " Hal.
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A mixed-dimensional formulation for the simulation of slender structures immersed in an incompressible flow
Published in Computer Methods in Applied Mechanics and Engineering, 2024
We consider in this paper a new 3D-1D model for slender structures immersed in an incompressible flow.
Recommended citation: Lespagnol F., Grandmont C., Zunino P., Fernández M. A. (2024). " A mixed-dimensional formulation for the simulation of slender structures immersed in an incompressible flow." Computer Methods in Applied Mechanics and Engineering .
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Mathematical and Numerical Analysis of Reduced Order Interface Conditions and Augmented Finite Elements for Mixed Dimensional Problems
Published in Computer & Mathematics with Applications, 2024
In this paper, we are interested in the mathematical properties of methods based on fictitious domain approach combined with reduced-order interface coupling conditions, which have been recently introduced to simulate 3D-1D fluid-structure or structure-structure coupled problems.
Recommended citation: Boulakia M., Grandmont C., Lespagnol F., Zunino P. (2024). " Mathematical and numerical analysis of reduced order interface conditions and augmented finite elements for mixed dimensional problems." Computer & Mathematics with Applications .
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talks
teaching
Licence Première Année - Mathématiques pour les études scientifiques 2
Licence Première Année, Scicences Sorbonne Université, 2023
Détails des notions enseignées:
- Algèbre linéaire en dimension finie (matrices, déterminant et inversion, rudiments de diagonalisation)
- Probabilités (dénombrement, espace probabilisé, suite de variables aléatoires)
Licence Deuxième Année - Suites de fonctions, séries entières, séries de Fourier
Licence Deuxième Année, Faculté des Sciences, Université de Montpellier, 2025
Détails des notions enseignées:
- Suites et séries de fonctions (convergence simple, convergence uniforme)
- Séries entières
- Séries de Fourier