Upstream differencing for multiphase flow in reservoir simulation

Abstract : Upstream weighting for multiphase flow in reservoir simulation is analyzed. The associated numerical flux is shown to be well defined, monotone, Lipschitz- -continuous and consistent. In the case of a two-phase flow the corresponding numerical flux is compared to that of Godunov and Engquist and Osher. Finally simple way to obtain a higher order scheme is outlined.
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Rapport
[Research Report] RR-1145, INRIA. 1989
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https://hal.inria.fr/inria-00075414
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Soumis le : mercredi 24 mai 2006 - 18:10:06
Dernière modification le : vendredi 16 septembre 2016 - 15:11:37
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Yann Brenier, Jérôme Jaffré. Upstream differencing for multiphase flow in reservoir simulation. [Research Report] RR-1145, INRIA. 1989. 〈inria-00075414〉

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