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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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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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