%0 Journal Article
%T APPROXIMATE SOLUTIONS OF THE BAER-NUNZIATO MODEL
%+ Laboratoire de Mécanique des Structures Industrielles Durables (LAMSID - UMR 8193)
%+ EDF (EDF)
%+ Laboratoire d'études de DYNamique (DYN)
%+ Institut de Recherche Mathématique Avancée (IRMA)
%+ TOkamaks and NUmerical Simulations (TONUS)
%+ Institut de Mathématiques de Marseille (I2M)
%A Crouzet, Fabien
%A Daude, Frédéric
%A Galon, Pascal
%A Helluy, Philippe
%A Hérard, Jean-Marc
%A Hurisse, Olivier
%A Liu, Yujie
%< avec comité de lecture
%@ 1270-900X
%J ESAIM: Proceedings
%I EDP Sciences
%V 40
%P 63-82
%8 2013-07
%D 2013
%R 10.1051/proc/201340005
%Z Mathematics [math]Journal articles
%X We examine in this paper the accuracy of some approximations of the Baer-Nunziato two-phase flow model. The governing equations and their main properties are recalled, and two distinct numerical schemes are investigated, including a classical second-order extension relying on symmetrizing variables. Shock tube cases are considered, and two simple Riemann problems based on well-balanced initial data are detailed. These enable to recover the expected convergence rates. However, it is shown that these simple cases are indeed very difficult and that the accuracy of basic schemes is rather poor.
%G English
%2 https://hal.science/hal-01265213/document
%2 https://hal.science/hal-01265213/file/proc134005.pdf
%L hal-01265213
%U https://hal.science/hal-01265213
%~ CEA
%~ CNRS
%~ INRIA
%~ UNIV-AMU
%~ IRMA
%~ EC-MARSEILLE
%~ UNIV-STRASBG
%~ INRIA_TEST
%~ INRIA-LORRAINE
%~ INRIA-NANCY-GRAND-EST
%~ TESTALAIN1
%~ I2M
%~ I2M-2014-
%~ DEN
%~ INRIA2
%~ EDF
%~ SITE-ALSACE
%~ DEN-SACLAY
%~ IRMAMOCO
%~ ISAS