Implicit hybrid upwind scheme for coupled multiphase flow and transport with buoyancy

DOI10.1016/j.cma.2016.08.009zbMath1439.76109OpenAlexW2518655069MaRDI QIDQ2308681

Bradley T. Mallison, François P. Hamon, Hamdi A. Tchelepi

Publication date: 3 April 2020

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2016.08.009

zbMATH Keywords

porous mediathree-phase flowflow and transportimplicit finite-volume schemes

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Flows in porous media; filtration; seepage (76S05) Finite volume methods applied to problems in fluid mechanics (76M12) Liquid-gas two-phase flows, bubbly flows (76T10) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

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Uses Software

• NewtonLib

Cites Work

• Unnamed Item
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• Newton Methods for Nonlinear Problems
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• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• Upstream Differencing for Multiphase Flow in Reservoir Simulation
• Monotonicity Considerations for Saturated--Unsaturated Subsurface Flow
• Mathematical and Numerical Study of an Industrial Scheme for Two-phase Flows in Porous Media under Gravity
• Mathematical study of a petroleum-engineering scheme
• Matrix Iterative Analysis

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