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Benchmark of different CFL conditions for IMPES

Franc, Jacques and Horgue, Pierre and Guibert, Romain and Debenest, Gérald Benchmark of different CFL conditions for IMPES. (2016) Comptes Rendus de l'Academie des Sciences - Series IIB - Mechanics, 344 (10). 715-724. ISSN 1631-0721

(Document in English)

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Official URL: https://doi.org/10.1016/j.crme.2016.08.003


The IMplicit Pressure Explicit Saturation (IMPES) method is a prevalent way to simulate multiphase flows in porous media. The numerical stability of this sequential method implies limitations on the time step, which may depend on the flow regime studied. In this note, three stability criteria related to the IMPES method, that differ in their construction on the observed variables, are compared on homogeneous and heterogeneous configurations for different two-phase flow regimes (viscous/capillary/gravitational). This highlights that there is no single optimal criterion always ensuring stability and efficiency. For capillary dominated flows, the Todd’s condition is the most efficient one, while the standard Coat condition should be preferred for viscous flows. When gravity effects are present, Coat’s condition must be restricted, but remains more efficient than the Todd’s condition.

Item Type:Article
Additional Information:Thanks to Elsevier editor. The original PDF of the article can be found at : http://www.sciencedirect.com/science/article/pii/S1631072116300821
HAL Id:hal-03515217
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - Toulouse INP (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UT3 (FRANCE)
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Deposited On:07 Jul 2017 13:13

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