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In this paper, we propose a new cell-center method to treat sliding of compressible fluid domains. We describe at first the theoretical framework based on [S. Del Pino, C. R. Acad. Sci. Paris, Ser. I 348 (2010) 1027–1032]. We introduce the notion of slide lines thanks to a mortar-like approach. We propose and analyze a discretization of the theoritical method. We also describe a simple ALE procedure that preserves the slide line Lagrangian so that no mixed-cells model is necessary. Finally we present a set of representative numerical tests.
Bertoluzza, Silvia 1 ; Del Pino, Stéphane 2 ; Labourasse, Emmanuel 3
@article{M2AN_2016__50_1_187_0,
author = {Bertoluzza, Silvia and Del Pino, St\'ephane and Labourasse, Emmanuel},
title = {A conservative slide line method for cell-centered {semi-Lagrangian} and {ALE} schemes in {2D}},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
pages = {187--214},
publisher = {EDP-Sciences},
volume = {50},
number = {1},
year = {2016},
doi = {10.1051/m2an/2015037},
zbl = {1382.76181},
mrnumber = {3460106},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1051/m2an/2015037/}
}
TY - JOUR AU - Bertoluzza, Silvia AU - Del Pino, Stéphane AU - Labourasse, Emmanuel TI - A conservative slide line method for cell-centered semi-Lagrangian and ALE schemes in 2D JO - ESAIM: Mathematical Modelling and Numerical Analysis PY - 2016 SP - 187 EP - 214 VL - 50 IS - 1 PB - EDP-Sciences UR - http://geodesic.mathdoc.fr/articles/10.1051/m2an/2015037/ DO - 10.1051/m2an/2015037 LA - en ID - M2AN_2016__50_1_187_0 ER -
%0 Journal Article %A Bertoluzza, Silvia %A Del Pino, Stéphane %A Labourasse, Emmanuel %T A conservative slide line method for cell-centered semi-Lagrangian and ALE schemes in 2D %J ESAIM: Mathematical Modelling and Numerical Analysis %D 2016 %P 187-214 %V 50 %N 1 %I EDP-Sciences %U http://geodesic.mathdoc.fr/articles/10.1051/m2an/2015037/ %R 10.1051/m2an/2015037 %G en %F M2AN_2016__50_1_187_0
Bertoluzza, Silvia; Del Pino, Stéphane; Labourasse, Emmanuel. A conservative slide line method for cell-centered semi-Lagrangian and ALE schemes in 2D. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 50 (2016) no. 1, pp. 187-214. doi : 10.1051/m2an/2015037. http://geodesic.mathdoc.fr/articles/10.1051/m2an/2015037/
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