Entropy-stable in- and outflow boundary conditions for the compressible Navier-Stokes equations
Numerical Analysis
2025-06-27 v1 Numerical Analysis
Abstract
We propose inflow and outflow boundary conditions for the compressible Navier-Stokes equations and prove that they allow a priori estimates of the entropy, mass and total energy. Furthermore, we demonstrate how to approximate these boundary conditions in conjunction with an entropy-stable finite-volume scheme. The method is also applicable to other types of entropy-stable schemes. Finally, we carry out some numerical computations with the finite-volume scheme and demonstrate their robustness.
Keywords
Cite
@article{arxiv.2506.21065,
title = {Entropy-stable in- and outflow boundary conditions for the compressible Navier-Stokes equations},
author = {Magnus Svärd and Anita Gjesteland},
journal= {arXiv preprint arXiv:2506.21065},
year = {2025}
}