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Higher-resolution hyperbolic-coupled-elliptic flux-continuous CVD schemes on structured and unstructured grids in 3-D.(English)Zbl 1158.76364

Summary: Novel three-dimensional unstructured grid higher order convection schemes are presented. The schemes are coupled with locally conservative flux continuous control-volume distributed (CVD) finite-volume schemes for the porous medium general tensor pressure equation on structured and unstructured grids in 3-D.
The schemes are developed for multi-phase flow in porous media. Benefits of the schemes in terms of improved front resolution and medium discontinuity resolution are demonstrated. Comparisons with current methods including the control-volume finite element method highlight the advantages of the new formulation for three-dimensional reservoir simulation.

MSC:

76M12 Finite volume methods applied to problems in fluid mechanics

Cite

References:

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This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
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