Publications

You can also find my articles on my Google Scholar profile.

Journal Articles

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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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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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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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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