Conditions aux limites fortement non lin\'eaires pour les \'equations d'Euler de la dynamique des gaz
<|reference_start|>Conditions aux limites fortement non lin\'eaires pour les \'equations d'Euler de la dynamique des gaz: 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.<|reference_end|>
@article{dubois2024conditions,
    title={Conditions aux limites fortement non lin{\'e}aires pour les
  {\'e}quations d'Euler de la dynamique des gaz},
    author={Franc{c}ois Dubois (LMO, LMSSC)},
    journal={arXiv preprint arXiv:2409.11774},
    year={2024},
    archivePrefix={arXiv},
    eprint={2409.11774},
    primaryClass={math.NA cs.NA}
}