Non-Reflecting Boundary Conditions for the Steady Euler Equations

摘要

Artificial boundary conditions for the steady Euler equations in a channel are considered. Non-reflecting terms are added to the boundary conditions to accelerate the convergence to the steady state. The aim of the article is to investigate how the steady and non-reflecting parts of the combined conditions should be balanced. It turns out that the scaling of the non-reflecting terms depends on the solution and on the size of the computational region. Numerical examples are presented.