This paper deals with the non-conservative coupling of two one-dimensional barotropic Euler systems at an interface at x = 0. The closure pressure laws differ in the domains x < 0 and x > 0, and a Dirac source term concentrated at x = 0 models singular pressure losses. We propose two numerical methods. The first one relies on ghost state reconstructions at the interface while the second is based on a suitable relaxation framework. Both methods satisfy a well-balanced property for stationary solutions. In addition, the second method preserves mass conservation and exactly restores the prescribed singular pressure drops for both unsteady and steady solutions.
Mots-clés : gas dynamics equations, interfacial coupling, measure valued load, relaxation method, coupled Riemann problem
@article{M2AN_2014__48_3_895_0,
author = {Ambroso, Annalisa and Chalons, Christophe and Coquel, Fr\'ed\'eric and Gali\'e, Thomas},
title = {Interface model coupling \protect\emph{via }prescribed local flux balance},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
pages = {895--918},
publisher = {EDP-Sciences},
volume = {48},
number = {3},
year = {2014},
doi = {10.1051/m2an/2013125},
zbl = {1292.35166},
language = {en},
url = {http://archive.numdam.org/articles/10.1051/m2an/2013125/}
}
TY - JOUR AU - Ambroso, Annalisa AU - Chalons, Christophe AU - Coquel, Frédéric AU - Galié, Thomas TI - Interface model coupling via prescribed local flux balance JO - ESAIM: Mathematical Modelling and Numerical Analysis PY - 2014 SP - 895 EP - 918 VL - 48 IS - 3 PB - EDP-Sciences UR - http://archive.numdam.org/articles/10.1051/m2an/2013125/ DO - 10.1051/m2an/2013125 LA - en ID - M2AN_2014__48_3_895_0 ER -
%0 Journal Article %A Ambroso, Annalisa %A Chalons, Christophe %A Coquel, Frédéric %A Galié, Thomas %T Interface model coupling via prescribed local flux balance %J ESAIM: Mathematical Modelling and Numerical Analysis %D 2014 %P 895-918 %V 48 %N 3 %I EDP-Sciences %U http://archive.numdam.org/articles/10.1051/m2an/2013125/ %R 10.1051/m2an/2013125 %G en %F M2AN_2014__48_3_895_0
Ambroso, Annalisa; Chalons, Christophe; Coquel, Frédéric; Galié, Thomas. Interface model coupling via prescribed local flux balance. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 48 (2014) no. 3, pp. 895-918. doi : 10.1051/m2an/2013125. http://archive.numdam.org/articles/10.1051/m2an/2013125/
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