Volume 50, Number 1, January-February 2016
|Page(s)||187 - 214|
|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.
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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