A fully-coupled upwind discontinuous Galerkin method for incompressible porous media flows: high-order computations of viscous fingering instabilities in complex geometry
From MaRDI portal
Publication:348013
DOI10.1016/j.jcp.2013.06.012zbMath1349.76264OpenAlexW2049096512MaRDI QIDQ348013
Publication date: 5 December 2016
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2013.06.012
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)
Related Items (11)
Mixed-hybrid and vertex-discontinuous-Galerkin finite element modeling of multiphase compositional flow on 3D unstructured grids ⋮ High order discontinuous Galerkin method for simulating miscible flooding in porous media ⋮ A fully-coupled discontinuous Galerkin spectral element method for two-phase flow in petroleum reservoirs ⋮ Analytical and variational numerical methods for unstable miscible displacement flows in porous media ⋮ Dual-scale Galerkin methods for Darcy flow ⋮ A high-order, fully coupled, upwind, compact discontinuous Galerkin method for modeling of viscous fingering in compressible porous media ⋮ Adaptive enriched Galerkin methods for miscible displacement problems with entropy residual stabilization ⋮ High resolution viscous fingering simulation in miscible displacement using a \(p\)-adaptive discontinuous Galerkin method with algebraic multigrid preconditioner ⋮ New analysis of Galerkin FEMs for miscible displacement in porous media ⋮ A high order hybridizable discontinuous Galerkin method for incompressible miscible displacement in heterogeneous media ⋮ A fully-implicit hybridized discontinuous Galerkin spectral element method for two phase flow in petroleum reservoirs
Cites Work
- On the use of enriched finite element method to model subsurface features in porous media flow problems
- Mixed discontinuous Galerkin methods for Darcy flow
- Modeling of convection-dominated thermoporomechanics problems using incomplete interior penalty Galerkin method
- On a coupled discontinuous/continuous Galerkin framework and an adaptive penalty scheme for poroelasticity problems
- Convergence analysis of an approximation of miscible displacement in porous media by mixed finite elements and a modified method of characteristics
- A coupling of mixed and discontinuous Galerkin finite element methods for poroelasticity
- Improved energy estimates for interior penalty, constrained and discontinuous Galerkin methods for elliptic problems. I
- A multiscale discontinuous Galerkin method with the computational structure of a continuous Galerkin method
- A stabilized mixed discontinuous Galerkin method for Darcy flow
- Anisotropic and dynamic mesh adaptation for discontinuous Galerkin methods applied to reactive transport
- A discontinuous Galerkin method for gravity-driven viscous fingering instabilities in porous media
- A high-order, fully coupled, upwind, compact discontinuous Galerkin method for modeling of viscous fingering in compressible porous media
- Analysis of discontinuous Galerkin methods for multicomponent reactive transport problems
- A posteriori error estimation and dynamic adaptivity for symmetric discontinuous Galerkin approximations of reactive transport problems
- Local problem-based a posteriori error estimators for discontinuous Galerkin approximations of reactive transport
- A time-discretization procedure for a mixed finite element approximation of miscible displacement in porous media
- The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid
- Linear stability analysis of immiscible two-phase flow in porous media with capillary dispersion and density variation
- Coupling Discontinuous Galerkin and Mixed Finite Element Discretizations using Mortar Finite Elements
- Stability of miscible displacements in porous media: Rectilinear flow
- Stability of miscible displacements in porous media: Radial source flow
- Viscous fingering in Hele-Shaw cells
- Galerkin Methods for Miscible Displacement Problems in Porous Media
- Mixed and Hybrid Finite Element Methods
- Three-dimensional viscous fingering: A numerical study
- An Elliptic Collocation-Finite Element Method with Interior Penalties
- Miscible porous media displacements in the quarter five-spot configuration. Part 1. The homogeneous case
- The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
- Discontinuous Galerkin methods for flow and transport problems in porous media
- Mixed Finite Elements for Elliptic Problems with Tensor Coefficients as Cell-Centered Finite Differences
- A Priori Error Estimates for Finite Element Methods Based on Discontinuous Approximation Spaces for Elliptic Problems
- Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
- A Characteristics-Mixed Finite Element Method for Advection-Dominated Transport Problems
- Simulation of viscous fingering in miscible displacements with nonmonotonic viscosity profiles
- A Nonlinear Mixed Finite Element Method for a Degenerate Parabolic Equation Arising in Flow in Porous Media
- The Compact Discontinuous Galerkin (CDG) Method for Elliptic Problems
- A Multipoint Flux Mixed Finite Element Method
- The stability of immiscible liquid layers in a porous medium
- Symmetric and Nonsymmetric Discontinuous Galerkin Methods for Reactive Transport in Porous Media
- Discontinuous Galerkin method applied to a single phase flow in porous media. II
This page was built for publication: A fully-coupled upwind discontinuous Galerkin method for incompressible porous media flows: high-order computations of viscous fingering instabilities in complex geometry
