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DOE OSTI · 21592615

Are upwind techniques in multi-phase flow models necessary?

Boettcher, N·Wang, W·Kolditz, O
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Abstract

Two alternatives of primary variables are compared for two-phase flow in heterogeneous media by solving fully established benchmarks. The first combination utilizes pressure of the wetting fluid and saturation of the non-wetting fluid as primary variables, while the second employs capillary pressure of the wetting fluid and pressure of the non-wetting fluid. While the standard Galerkin finite element method (SGFEM) is known to fail in the physical reproduction of two-phase flow in heterogeneous media (unless employing a fully upwind correction), the second scheme with capillary pressure as a primary variable without applying an upwind technique produces correct physical fluid behaviour in heterogeneous media, as observed from experiments.

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97 MATHEMATICS AND COMPUTINGALGORITHMSBLOOD VESSELSBODYCALCULATION METHODSCAPILLARIESCARDIOVASCULAR SYSTEMFINITE ELEMENT METHODFLUID FLOWMATHEMATICAL LOGICMATHEMATICAL MODELSMATHEMATICAL SOLUTIONSMULTIPHASE FLOWNUMERICAL SOLUTIONORGANSTWO-PHASE FLOW

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Boettcher, N, Wang, W, Kolditz, O. 2011-09-10. Are upwind techniques in multi-phase flow models necessary?. https://doi.org/10.1016/j.jcp.2011.07.030

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