A conservative slide line method for cell-centered semi-Lagrangian and ALE schemes in 2D
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 50 (2016) no. 1, pp. 187-214.

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 P 1 -P 0 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.

Received:
DOI: 10.1051/m2an/2015037
Classification: 65Z05, 35L65, 65N08, 65N30, 76N15
Keywords: Compressible gas, Lagrange, ALE, slide lines, finite-volumes, finite-elements, mortar
Bertoluzza, Silvia 1; Pino, Stéphane Del 2; Labourasse, Emmanuel 2

1 Istituto di Matematica Applicata e Tecnologie Informatiche del CNR, Pavia, Italy.
2 CEA, DAM, DIF 91297, Arpajon France.
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     title = {A conservative slide line method for cell-centered {semi-Lagrangian} and {ALE} schemes in {2D}},
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Bertoluzza, Silvia; Pino, Stéphane Del; Labourasse, Emmanuel. A conservative slide line method for cell-centered semi-Lagrangian and ALE schemes in 2D. ESAIM: Mathematical Modelling and Numerical Analysis , Volume 50 (2016) no. 1, pp. 187-214. doi : 10.1051/m2an/2015037. http://www.numdam.org/articles/10.1051/m2an/2015037/

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