3 papers
physics.flu-dyn2026
Guarantees by Construction for Learned Finite Volume Schemes on Steady Supersonic Flow
Denis Gueyffier
A second order finite volume scheme rests on two local quantities: a gradient reconstructed in each cell, and a limiter which scales it down where the reconstruction would overshoo…
physics.flu-dyn2026
Solver Exactness, Learned Flexibility: Equivariant Boundary-Correction Operators for Stokes Flow
Denis Gueyffier
Computing the viscous Stokes flow around a shape requires solving a boundary-integral equation, and for a new shape the solve must begin from scratch. Learned operators promise to…
math.NA2025
Data-Driven Adaptive Gradient Recovery for Unstructured Finite Volume Computations
G. de Romémont, F. Renac, F. Chinesta +2
We present a novel data-driven approach for enhancing gradient reconstruction in unstructured finite volume methods for hyperbolic conservation laws, specifically for the 2D Euler…