Rémi Abgrall

1. A combination of Residual Distribution and the Active Flux formulations or a new class of schemes that can combine several writings of the same hyperbolic problem: application to the 1D Euler equations
   2020/11/25 by Rémi Abgrall, Abgrall, Rémi · 8 citations
   Engineering · #Computational Fluid Dynamics and Aerodynamics #Fluid Dynamics and Turbulent Flows #Advanced Numerical Methods in Computational Mathematics
2. Extensions of Active Flux to arbitrary order of accuracy
   2022/08/30 by Rémi Abgrall, Abgrall, Rémi, Wasilij Barsukow +1 · 9 citations
   Engineering · #Computational Fluid Dynamics and Aerodynamics #Fluid Dynamics and Turbulent Flows #Advanced Numerical Methods in Computational Mathematics
3. A Cell-Centered Lagrangian Scheme for Two-Dimensional Compressible Flow Problems
   2007/01/01 by Pierre-Henri Maire, Pierre‐Henri Maire, Rémi Abgrall +4 · 2 citations
   Engineering · Mathematics · #Computational Fluid Dynamics and Aerodynamics #Fluid Dynamics and Turbulent Flows #Gas Dynamics and Kinetic Theory
4. A semi-discrete Active Flux method for the Euler equations on Cartesian grids
   2023/10/01 by Rémi Abgrall, Wasilij Barsukow, Abgrall, Rémi +3 · 6 citations
   Engineering · Mathematics · #Computational Fluid Dynamics and Aerodynamics #Advanced Numerical Methods in Computational Mathematics #Gas Dynamics and Kinetic Theory
5. Active flux for triangular meshes for compressible flows problems
   2023/12/18 by Rémi Abgrall, Abgrall, Rémi, Jianfang Lin +3 · 5 citations
   Engineering · #Computational Fluid Dynamics and Aerodynamics #Advanced Numerical Methods in Computational Mathematics #Fluid Dynamics and Turbulent Flows
6. Novel well-balanced continuous interior penalty stabilizations
   2023/07/19 by Lorenzo Micalizzi, Mario Ricchiuto, Micalizzi, Lorenzo +3 · 3 citations
   Engineering · Mathematics · #Advanced Numerical Methods in Computational Mathematics #Computational Fluid Dynamics and Aerodynamics #FOS: Mathematics #Navier-Stokes equation solutions #Numerical Analysis (math.NA)
7. Model order reduction for parametrized nonlinear hyperbolic problems as an application to Uncertainty Quantification
   2018/08/09 by R. Crisovan, Crisovan, R., Davide Torlo +5 · 1 citation
   Decision Sciences · Engineering · Physics and Astronomy · #Computational Fluid Dynamics and Aerodynamics #FOS: Mathematics #Model Reduction and Neural Networks #Numerical Analysis (math.NA) #Probabilistic and Robust Engineering Design
8. Capturing near-equilibrium solutions: a comparison between high-order\n discontinuous Galerkin methods and well-balanced schemes
   2018/03/15 by Maria Han Veiga, Veiga, Maria Han, David A. Romero Velasco +5 · 1 citation
   Earth and Planetary Sciences · Physics and Astronomy · Engineering · #Geophysics and Gravity Measurements #Astro and Planetary Science #Computational Fluid Dynamics and Aerodynamics
9. A positive- and bound-preserving vectorial lattice Boltzmann method in two dimensions
   2024/11/22 by Gauthier Wissocq, Wissocq, Gauthier, Yongle Liu +3 · 3 citations
   Engineering · #Aerosol Filtration and Electrostatic Precipitation #FOS: Mathematics #Fluid Dynamics and Turbulent Flows #Lattice Boltzmann Simulation Studies #Numerical Analysis (math.NA)
10. A Novel and Simple Invariant-Domain-Preserving Framework for PAMPA Scheme: 1D Case
    2024/12/04 by Rémi Abgrall, Abgrall, Rémi, Miaosen Jiao +5 · 3 citations
    Computer Science · #Algorithms and Data Compression #Computational Physics (physics.comp-ph) #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fuzzy Logic and Control Systems #Numerical Analysis (math.NA) #Wireless Communication Networks Research