Abstract
Recently, a new relaxation scheme for hybrid modelling of two-phase flows has been proposed. This one allows to obtain stable unsteady approximations for a system of partial differential equations containing non-smooth data. This paper is concerned with a two-dimensional extension of the present method, in which two alternative relaxation schemes are compared. A short stability analysis is given.
MSC2010: 76M12, 65M12
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Acknowledgements
The first author receives a financial support through an EDF-CIFRE contract 203/2009. Computational facilities were provided by EDF.
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Dorogan, K., Hérard, JM., Minier, JP. (2011). A Two-Dimensional Relaxation Scheme for the Hybrid Modelling of Two-Phase Flows. In: Fořt, J., Fürst, J., Halama, J., Herbin, R., Hubert, F. (eds) Finite Volumes for Complex Applications VI Problems & Perspectives. Springer Proceedings in Mathematics, vol 4. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-20671-9_37
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DOI: https://doi.org/10.1007/978-3-642-20671-9_37
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