Analysis of Hybrid Upwinding for Fully-Implicit Simulation of Three-Phase Flow with Gravity

DOI10.1137/15M1020988zbMath1382.65269MaRDI QIDQ2814453

François P. Hamon, Hamdi A. Tchelepi

Publication date: 22 June 2016

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

zbMATH Keywords

conservation lawsreservoir simulationthree-phase flowcoupled flow and transportimplicit finite-volume schemes

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Finite volume methods applied to problems in fluid mechanics (76M12) Hyperbolic conservation laws (35L65) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

Related Items (14)

A conservative sequential fully implicit method for compositional reservoir simulation ⋮ Implicit-Modal Discontinuous Galerkin Scheme for Two-Phase Flow with Discontinuous Capillary Pressure ⋮ Convergent sequential fully implicit method for reservoir simulation ⋮ Coupling-strength criteria for sequential implicit formulations ⋮ Comparison of nonlinear field-split preconditioners for two-phase flow in heterogeneous porous media ⋮ Hybrid discretization of multi-phase flow in porous media in the presence of viscous, gravitational, and capillary forces ⋮ Finite-volume simulation of capillary-dominated flow in matrix-fracture systems using interface conditions ⋮ Nonlinear acceleration of sequential fully implicit (SFI) method for coupled flow and transport in porous media ⋮ Fully implicit multidimensional hybrid upwind scheme for coupled flow and transport ⋮ Nonlinear solver for three-phase transport problems based on approximate trust regions ⋮ Numerical model of gravity segregation of two-phase fluid in porous media based on hybrid upwinding ⋮ Implicit hybrid upwind scheme for coupled multiphase flow and transport with buoyancy ⋮ Smooth implicit hybrid upwinding for compositional multiphase flow in porous media ⋮ Implicit hybrid upwinding for two-phase flow in heterogeneous porous media with buoyancy and capillarity

Uses Software

• NewtonLib

Cites Work

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