Multidimensional upstream weighting for multiphase transport in porous media

DOI10.1007/s10596-010-9211-5zbMath1348.76152OpenAlexW2072685981MaRDI QIDQ695699

Margot G. Gerritsen, Bradley T. Mallison, Jeremy Edward Kozdon

Publication date: 17 December 2012

Published in: Computational Geosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10596-010-9211-5

zbMATH Keywords

monotonicityporous mediafinite volumefinite differencehyperbolic equationspartially miscibleimmiscibleinteraction regionsmultidimensional transportphase-based upwindingtwo phase

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Finite difference methods applied to problems in fluid mechanics (76M20) Finite volume methods applied to problems in fluid mechanics (76M12) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (5)

Design of coupled finite volume schemes minimizing the grid orientation effect in reservoir simulation ⋮ A cell-centered multipoint flux approximation method with a diamond stencil coupled with a higher order finite volume method for the simulation of oil-water displacements in heterogeneous and anisotropic petroleum reservoirs ⋮ Simulation of multi-component multi-phase fluid flow in two-dimensional anisotropic heterogeneous porous media using high-order control volume distributed methods ⋮ Fully implicit multidimensional hybrid upwind scheme for coupled flow and transport ⋮ Numerical model of gravity segregation of two-phase fluid in porous media based on hybrid upwinding

Uses Software

• GSLIB

Cites Work

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• Nonoscillatory Central Schemes for Multidimensional Hyperbolic Conservation Laws
• A Fully Mass and Volume Conserving Implementation of a Characteristic Method for Transport Problems
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