A fully-coupled discontinuous Galerkin spectral element method for two-phase flow in petroleum reservoirs

DOI10.1016/J.JCP.2017.09.059zbMath1375.76092OpenAlexW2761317025MaRDI QIDQ1683845

Ankur Taneja, J. J. L. Higdon

Publication date: 1 December 2017

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2017.09.059

zbMATH Keywords

spectral element methoddiscontinuous Galerkin methodreservoir simulation

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Liquid-gas two-phase flows, bubbly flows (76T10)

Related Items (3)

A multinumerics scheme for incompressible two-phase flow ⋮ A very high-order flux reconstruction approach coupled to the MPFA-QL finite volume method for the numerical simulation of oil-water flows in 2D petroleum reservoirs ⋮ A fully-implicit hybridized discontinuous Galerkin spectral element method for two phase flow in petroleum reservoirs

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A fully-coupled upwind discontinuous Galerkin method for incompressible porous media flows: high-order computations of viscous fingering instabilities in complex geometry
• A fully-coupled discontinuous Galerkin method for two-phase flow in porous media with discontinuous capillary pressure
• Fully implicit discontinuous finite element methods for two-phase flow
• High order discontinuous Galerkin method for simulating miscible flooding in porous media
• A high-order, fully coupled, upwind, compact discontinuous Galerkin method for modeling of viscous fingering in compressible porous media
• New Rosenbrock W-methods of order 3 for partial differential algebraic equations of index
• An A Priori Error Analysis of the Local Discontinuous Galerkin Method for Elliptic Problems
• An Interior Penalty Finite Element Method with Discontinuous Elements
• An Elliptic Collocation-Finite Element Method with Interior Penalties
• The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
• Discontinuous Galerkin methods for flow and transport problems in porous media
• Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
• The Compact Discontinuous Galerkin (CDG) Method for Elliptic Problems

This page was built for publication: A fully-coupled discontinuous Galerkin spectral element method for two-phase flow in petroleum reservoirs