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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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https://hal.inria.fr/inria-00075414
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Submitted on : Wednesday, May 24, 2006 - 6:10:06 PM
Last modification on : Friday, February 4, 2022 - 3:17:00 AM
Long-term archiving on: : Tuesday, April 12, 2011 - 6:52:18 PM

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  • HAL Id : inria-00075414, version 1

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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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