3 papers
math.NA2025
A structure-preserving and thermodynamically compatible cell-centered Lagrangian finite volume scheme for continuum mechanics
Walter Boscheri, Michael Dumbser, Raphael Loubère +1
In this work we present a novel structure-preserving scheme for the discretization of the Godunov-Peshkov-Romenski (GPR) model of continuum mechanics written in Lagrangian form. Th…
math.NA2024
A node-conservative vorticity-preserving Finite Volume method for linear acoustics on unstructured grids
Wasilij Barsukow, Raphaël Loubère, Pierre-Henri Maire
Instead of ensuring that fluxes across edges add up to zero, we split the edge in two halves and also associate different fluxes to each of its sides. This is possible due to non-s…
math.NA2023
A geometrically and thermodynamically compatible finite volume scheme for continuum mechanics on unstructured polygonal meshes
Walter Boscheri, Raphael Loubére, Jean-Philippe Braeunig +1
We present a novel Finite Volume (FV) scheme on unstructured polygonal meshes that is provably compliant with the Second Law of Thermodynamics and the Geometric Conservation Law (G…