Entropy-Stable in- and Outflow Boundary Conditions for the Compressible Navier-Stokes Equations
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.
Fields of Study & Subjects
Computational Fluid Dynamics and Aerodynamics
Fluid Dynamics and Turbulent Flows
Gas Dynamics and Kinetic Theory
Publication details
- Journal / source
- Journal of Scientific Computing
- Volume
- 108
- Issue
- 3
- Publication date
- 16 July 2026
- Language
- EN