| Issue |
ESAIM: M2AN
Volume 50, Number 1, January-February 2016
|
|
|---|---|---|
| Page(s) | 187 - 214 | |
| DOI | https://doi.org/10.1051/m2an/2015037 | |
| Published online | 14 January 2016 | |
A conservative slide line method for cell-centered semi-Lagrangian and ALE schemes in 2D
1 Istituto di Matematica Applicata e
Tecnologie Informatiche del CNR, Pavia, Italy.
2 CEA, DAM, DIF 91297,
Arpajon
France.
stephane@delpino.fr; stephane.delpino@cea.fr
Received:
9
May
2014
Revised:
15
February
2015
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 P1 − P0 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.
Mathematics Subject Classification: 65Z05 / 35L65 / 65N08 / 65N30 / 76N15
Key words: Compressible gas / Lagrange / ALE / slide lines / finite-volumes / finite-elements / mortar
© EDP Sciences, SMAI 2016
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