Demay, Charles; Bourdarias, Christian; de Laage de Meux, Benoît; Gerbi, Stéphane; Hérard, Jean-Marc Numerical simulation of a compressible two-layer model: a first attempt with an implicit-explicit splitting scheme. (English) Zbl 1466.76002 J. Comput. Appl. Math. 346, 357-377 (2019). MSC: 76-10 76M12 76N15 76T10 PDFBibTeX XMLCite \textit{C. Demay} et al., J. Comput. Appl. Math. 346, 357--377 (2019; Zbl 1466.76002) Full Text: DOI HAL
Bourdarias, C.; Ersoy, M.; Gerbi, S. A kinetic scheme for transient mixed flows in non uniform closed pipes: A global manner to upwind all the source terms. (English) Zbl 1457.76105 J. Sci. Comput. 48, No. 1-3, 89-104 (2011). MSC: 76M12 PDFBibTeX XMLCite \textit{C. Bourdarias} et al., J. Sci. Comput. 48, No. 1--3, 89--104 (2011; Zbl 1457.76105) Full Text: DOI arXiv Link
Bourdarias, Christian; Ersoy, Mehmet; Gerbi, Stéphane A model for unsteady mixed flows in non uniform closed water pipes and a well-balanced finite volume scheme. (English) Zbl 1490.76143 Int. J. Finite Vol. 6, No. 2, Article ID hal-00342745, 47 p. (2009). MSC: 76M12 76B07 76B15 65M08 65M12 PDFBibTeX XMLCite \textit{C. Bourdarias} et al., Int. J. Finite Vol. 6, No. 2, Article ID hal-00342745, 47 p. (2009; Zbl 1490.76143) Full Text: arXiv HAL
Bourdarias, C.; Gerbi, S. A conservative model for unsteady flows in deformable closed pipes and its implicit second-order finite volume discretisation. (English) Zbl 1237.76081 Comput. Fluids 37, No. 10, 1225-1237 (2008). MSC: 76M12 76N15 74F10 PDFBibTeX XMLCite \textit{C. Bourdarias} and \textit{S. Gerbi}, Comput. Fluids 37, No. 10, 1225--1237 (2008; Zbl 1237.76081) Full Text: DOI
Bourdarias, C.; Gerbi, S. A finite volume scheme for a model coupling free surface and pressurised flows in pipes. (English) Zbl 1135.76036 J. Comput. Appl. Math. 209, No. 1, 109-131 (2007). MSC: 76M12 76B15 PDFBibTeX XMLCite \textit{C. Bourdarias} and \textit{S. Gerbi}, J. Comput. Appl. Math. 209, No. 1, 109--131 (2007; Zbl 1135.76036) Full Text: DOI