Conditions aux limites fortement non lin{\'e}aires pour les {\'e}quations d'Euler de la dynamique des gaz
Numerical Analysis
2024-09-19 v1 Numerical Analysis
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.
Cite
@article{arxiv.2409.11774,
title = {Conditions aux limites fortement non lin{\'e}aires pour les {\'e}quations d'Euler de la dynamique des gaz},
author = {François Dubois},
journal= {arXiv preprint arXiv:2409.11774},
year = {2024}
}
Comments
in French language