4 papers
JAX-FVM: A differentiable, entropy-stable finite volume solver on unstructured meshes for compressible flows
Guillaume de Romémont
We present JAX-FVM, an open-source, fully differentiable finite volume method (FVM) for the two-dimensional compressible Euler and Navier-Stokes equations on unstructured triangula…
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…
A data-driven learned discretization approach in finite volume schemes for hyperbolic conservation laws and varying boundary conditions
Guillaume de Romémont, Florent Renac, Jorge Nunez +1
This paper presents a data-driven finite volume method for solving 1D and 2D hyperbolic partial differential equations. This work builds upon the prior research incorporating a dat…
Volume-Preserving Transformers for Learning Time Series Data with Structure
Benedikt Brantner, Guillaume de Romemont, Michael Kraus +1
Two of the many trends in neural network research of the past few years have been (i) the learning of dynamical systems, especially with recurrent neural networks such as long shor…