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arXiv · 2409.11774

Conditions aux limites fortement non lin{\'e}aires pour les {\'e}quations d'Euler de la dynamique des gaz

François Dubois
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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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François Dubois. 2024-09-18. Conditions aux limites fortement non lin{\'e}aires pour les {\'e}quations d'Euler de la dynamique des gaz. https://arxiv.org/abs/2409.11774

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