@inproceedings{de1f410378a745bca10bd49cb8b79d4f,
title = "A numerical convergence study of some open boundary conditions for euler equations",
abstract = "We discuss herein the suitability of some open boundary conditions. Considering the Euler system of gas dynamics, we compare approximate solutions of one-dimensional Riemann problems in a bounded sub-domain with the restriction in this sub-domain of the exact solution in the infinite domain. Assuming that no information is known from outside of the domain, some basic open boundary condition specifications are given, and a measure of the \$\$L\textasciicircum{}1\$\$-norm of the error inside the computational domain enables to show consistency errors in situations involving outgoing shock waves, depending on the chosen boundary condition formulation. This investigation has been performed with Finite Volume methods, using approximate Riemann solvers in order to compute numerical fluxes for inner interfaces and boundary interfaces.",
keywords = "Approximate Riemann solver, Compressible flow, Euler equations, Finite volumes, Open boundary conditions",
author = "C. Colas and M. Ferrand and H{\'e}rard, \{J. M.\} and Olivier Hurisse and \{Le Coupanec\}, E. and Lucie Quibel",
note = "Publisher Copyright: {\textcopyright} The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2020.; 9th International Symposium on Finite Volumes for Complex Applications, FVCA 2020 ; Conference date: 15-06-2020 Through 19-06-2020",
year = "2020",
month = jan,
day = "1",
doi = "10.1007/978-3-030-43651-3\_62",
language = "English",
isbn = "9783030436506",
series = "Springer Proceedings in Mathematics and Statistics",
publisher = "Springer",
pages = "655--663",
editor = "Robert Kl{\"o}fkorn and Eirik Keilegavlen and Radu, \{Florin A.\} and J{\"u}rgen Fuhrmann",
booktitle = "Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples, FVCA 2020",
}