Sequential implicit vertex approximate gradient discretization of incompressible two-phase Darcy flows with discontinuous capillary pressure

DOI10.1007/s10596-021-10113-7zbMath1484.76072OpenAlexW4200578160MaRDI QIDQ2130952

Roland Masson, Nejmeddine Chorfi, Konstantin Brenner

Publication date: 25 April 2022

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

Full work available at URL: https://doi.org/10.1007/s10596-021-10113-7

zbMATH Keywords

discontinuous capillary pressuretwo-point flux approximationvertex approximate gradient schemetwo-phase Darcy flowhybrid upwindingsequential implicit schemestotal velocity formulation

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Flows in porous media; filtration; seepage (76S05)

Related Items (1)

Gaussian active learning on multi-resolution arbitrary polynomial chaos emulator: concept for bias correction, assessment of surrogate reliability and its application to the carbon dioxide benchmark

Uses Software

• IPARS

Cites Work

• Unnamed Item
• Unnamed Item
• TP or not TP, that is the question
• Finite volume approximation for an immiscible two-phase flow in porous media with discontinuous capillary pressure
• Vertex approximate gradient discretization preserving positivity for two-phase Darcy flows in heterogeneous porous media
• Higher resolution total velocity \(Vt\) and \(Va\) finite-volume formulations on cell-centred structured and unstructured grids
• Immiscible two-phase Darcy flow model accounting for vanishing and discontinuous capillary pressures: application to the flow in fractured porous media
• Finite-volume simulation of capillary-dominated flow in matrix-fracture systems using interface conditions
• Implicit hybrid upwind scheme for coupled multiphase flow and transport with buoyancy
• Implicit hybrid upwinding for two-phase flow in heterogeneous porous media with buoyancy and capillarity
• Two-phase discrete fracture matrix models with linear and nonlinear transmission conditions
• Sequential fully implicit formulation for compositional simulation using natural variables
• Small-stencil 3D schemes for diffusive flows in porous media
• An Existence Result for Multidimensional Immiscible Two-Phase Flows with Discontinuous Capillary Pressure Field
• Gradient schemes for two-phase flow in heterogeneous porous media and Richards equation
• Approximating the vanishing capillarity limit of two-phase flow in multi-dimensional heterogeneous porous medium
• Finite volume scheme for two-phase flows in heterogeneous porous media involving capillary pressure discontinuities
• Adaptive Multiscale Finite-Volume Method for Multiphase Flow and Transport in Porous Media
• Vertex Approximate Gradient Scheme for Hybrid Dimensional Two-Phase Darcy Flows in Fractured Porous Media
• Computational Methods for Multiphase Flows in Porous Media
• Decoupling preconditioners in the implicit parallel accurate reservoir simulator (IPARS)
• Numerical Approximation of a Two-phase Flow Problem in a Porous Medium with Discontinuous Capillary Forces

This page was built for publication: Sequential implicit vertex approximate gradient discretization of incompressible two-phase Darcy flows with discontinuous capillary pressure