Work

Entropy-Stable in- and Outflow Boundary Conditions for the Compressible Navier-Stokes Equations

Year: 2026

Type: article

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.

Source: Journal of Scientific Computing

DOI: 10.1007/s10915-026-03389-3

Authors: Magnus Svärd, Anita Gjesteland

Institutions: University of Bergen, University of Waterloo, Norwegian Defence Research Establishment

Language: English

Topic: Computational Fluid Dynamics and Aerodynamics

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,290

OpenAlex ID: W4415182280