@inproceedings{b7817b39abf146aea3575953fa9ebaa4,
title = "An implicit integral formulation for the modeling of inviscid fluid flows in domains containing obstacles",
abstract = "We focus here on an integral approach to compute compressible inviscid fluid flows in physical domains cluttered up with many small obstacles. This approach is based on a multidimensional porous integral formulation of Euler system of equations. Its discretization uses a first order semi-implicit finite volume scheme with pressure-correction algorithm preserving the positivity of both density and pressure. Numerical tests are completed by simulating a 2D channel flow containing two aligned tubes. The results are compared to reference solutions obtained with a pure fluid approach on a fine mesh.",
keywords = "Compressible flow, Finite volumes, Integral formulation, Porous media",
author = "Cl{\'e}ment Colas and Martin Ferrand and H{\'e}rard, \{Jean Marc\} and Coupanec, \{Erwan Le\} and Xavier Martin",
note = "Publisher Copyright: {\textcopyright} Springer International Publishing AG 2017.; 8th International Symposium on Finite Volumes for Complex Applications - Hyperbolic, Elliptic and Parabolic Problems, FVCA8 2017 ; Conference date: 12-06-2017 Through 16-06-2017",
year = "2017",
month = jan,
day = "1",
doi = "10.1007/978-3-319-57394-6\_6",
language = "English",
isbn = "9783319573939",
series = "Springer Proceedings in Mathematics and Statistics",
publisher = "Springer New York LLC",
pages = "53--61",
editor = "Pascal Omnes and Clement Cances",
booktitle = "Finite Volumes for Complex Applications VIII— Hyperbolic, Elliptic and Parabolic Problems - FVCA8 2017",
}