Conditions aux limites fortement non linéaires pour les équations d'Euler de la dynamique des gaz

2024/09/18 by François Dubois, Dubois, François
Environmental Science · Mathematics · #FOS: Mathematics #Gas Dynamics and Kinetic Theory #Methane Hydrates and Related Phenomena #Navier-Stokes equation solutions #Numerical Analysis (math.NA)

paper · pdf · doi:10.48550/arxiv.2409.11774

openalex publication_date 2024/09/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study various formulations of the boundary conditions for the Euler equations of gas dynamics from a mathematical and numerical point of view. In the case of one space dimension, we recall the classical results, based on an analysis of the linearized problem. Then we present a more recent formulation of the problem, which allows for nonlinear effects at the boundary of the study domain. This formulation fits naturally into a finite volume discretization, and we present a significant one-dimensional test case.

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