Analytical and variational numerical methods for unstable miscible displacement flows in porous media
DOI10.1016/j.jcp.2017.01.021zbMath1375.76188OpenAlexW2532317810MaRDI QIDQ1685443
Guglielmo Scovazzi, Sanghyun Lee, Andro Mikelić, Mary Fanett Wheeler
Publication date: 14 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.2017.01.021
variational methodsnumerical simulationGalerkin methodsmiscible displacementHele-Shawviscous fingeringflow instabilities
Flows in porous media; filtration; seepage (76S05) Variational methods applied to problems in fluid mechanics (76M30) 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) Research exposition (monographs, survey articles) pertaining to fluid mechanics (76-02)
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Cites Work
- A fully-coupled upwind discontinuous Galerkin method for incompressible porous media flows: high-order computations of viscous fingering instabilities in complex geometry
- Algebraic multiscale solver for flow in heterogeneous porous media
- A multipoint flux mixed finite element method on distorted quadrilaterals and hexahedra
- Implementation of the entropy viscosity method with the discontinuous Galerkin method
- Entropy viscosity method for nonlinear conservation laws
- Mixed discontinuous Galerkin methods for Darcy flow
- Adaptive enriched Galerkin methods for miscible displacement problems with entropy residual stabilization
- Higher-order finite volume methods for elliptic boundary value problems
- Compatible algorithms for coupled flow and transport
- Stabilized methods and post-processing techniques for miscible displacements
- Error estimates for the numerical solution of elliptic differential equations
- An analysis of the grid orientation effect in numerical simulation of miscible displacement
- Self-adaptive finite element simulation of miscible displacement in porous media
- Convergence analysis of an approximation of miscible displacement in porous media by mixed finite elements and a modified method of characteristics
- Rigorous upscaling of the reactive flow with finite kinetics and under dominant Péclet number
- Accurate multiscale finite element methods for two-phase flow simulations
- Homogenization of a convection-diffusion model with reaction in a porous medium
- Adaptive heterogeneous multiscale methods for immiscible two-phase flow in porous media
- Prismatic mixed finite elements for second order elliptic problems
- Multiscale finite-volume method for density-driven flow in porous media
- Rigorous upscaling of the infinite adsorption rate reactive flow under dominant Peclet number through a pore
- Two families of mixed finite elements for second order elliptic problems
- Mixed finite elements for second order elliptic problems in three variables
- Quadratic convergence for cell-centered grids
- Stabilité et convection naturelle au sein d'une couche poreuse non homogène. (Stability and natural convection in non-homogeneous porous layer)
- Mixed finite elements in \(\mathbb{R}^3\)
- On thermal equation for flow in porous media
- Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
- Mathematical theory of stationary miscible filtration
- Coarse scale models of two-phase flow in heterogeneous reservoirs: Volume averaged equations and their relationship to existing upscaling techniques
- A multiscale finite element method for elliptic problems in composite materials and porous media
- The derivation of a nonlinear filtration law including the inertia effects via homogenization
- The continuous Galerkin method is locally conservative
- High order discontinuous Galerkin method for simulating miscible flooding in porous media
- Computing gravity-driven viscous fingering in complex subsurface geometries: a high-order discontinuous Galerkin approach
- Numerical solutions of the incompressible miscible displacement equations in heterogeneous media
- Discontinuous Galerkin methods for coupled flow and reactive transport problems
- Finite element simulation of nonlinear viscous fingering in miscible displacements with anisotropic dispersion and nonmonotonic viscosity profiles
- An unsplit, higher order Godunov method for scalar conservation laws in multiple dimensions
- A posteriori error estimates for a discontinuous Galerkin method applied to elliptic problems
- Model of diffusion in partially fissured media
- A stabilized mixed finite element method for Darcy flow
- Development and analysis of higher order finite volume methods over rectangles for elliptic equations
- Miscible displacement simulation by finite element methods in distributed memory machines
- Phase-field modeling of proppant-filled fractures in a poroelastic medium
- Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
- Adaptive algebraic multiscale solver for compressible flow in heterogeneous porous media
- Fast computation of multiphase flow in porous media by implicit discontinuous Galerkin schemes with optimal ordering of elements
- Stabilization mechanisms in discontinuous Galerkin finite element methods
- 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
- A posteriori error estimation and dynamic adaptivity for symmetric discontinuous Galerkin approximations of reactive transport problems
- Diffusive slowdown in miscible viscous fingering
- The finite element method with Lagrangian multipliers
- Numerical methods for multiscale transport equations and application to two-phase porous media flow
- Dynamic scaling in miscible viscous fingering
- A Locally Conservative Enriched Galerkin Approximation and Efficient Solver for Elliptic and Parabolic Problems
- RIGOROUS DERIVATION OF A HYPERBOLIC MODEL FOR TAYLOR DISPERSION
- Efficient rectangular mixed finite elements in two and three space variables
- A New Class of High Order Finite Volume Methods for Second Order Elliptic Equations
- Homogenization Approach to the Dispersion Theory for Reactive Transport through Porous Media
- Introduction to Hydrodynamic Stability
- The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid
- Numerical Methods for a Model for Compressible Miscible Displacement in Porous Media
- Some Improved Error Estimates for the Modified Method of Characteristics
- A Centre Manifold Description of Contaminant Dispersion in Channels with Varying Flow Properties
- ON THE EQUATIONS GOVERNING THE FLOW OF MECHANICALLY INCOMPRESSIBLE, BUT THERMALLY EXPANSIBLE, VISCOUS FLUIDS
- Multiscale Finite Element Methods
- Miscible quarter five-spot displacements in a Hele-Shaw cell and the role of flow-induced dispersion
- Effect of dispersion on the onset of convection during CO2 sequestration
- Linear stability analysis of immiscible two-phase flow in porous media with capillary dispersion and density variation
- Instability of miscible interfaces in a cylindrical tube
- Onset of convection in anisotropic porous media subject to a rapid change in boundary conditions
- Interface instabilities during displacements of two miscible fluids in a vertical pipe
- Radial source flows in porous media: Linear stability analysis of axial and helical perturbations in miscible displacements
- PARABOLIC AND DEGENERATE PARABOLIC MODELS FOR PRESSURE-DRIVEN TRANSPORT PROBLEMS
- A parallel second-order adaptive mesh algorithm for incompressible flow in porous media
- A Locally Conservative Finite Element Method Based on Piecewise Constant Enrichment of the Continuous Galerkin Method
- Laplace transform approach to the rigorous upscaling of the infinite adsorption rate reactive flow under dominant Peclet number through a pore
- The approximation of the pressure by a mixed method in the simulation of miscible displacement
- A predictive Monte Carlo simulation of two-fluid flow through porous media at finite mobility ratio
- Analysis of a New Method for Computing the Flow of Miscible Fluids in a Porous Medium
- Linear Stability of Miscible Displacement Processes in Porous Media in the Absence of Dispersion
- Numerical Approximations for a Miscible Displacement Process in Porous Media
- Stability of miscible displacements in porous media: Rectilinear flow
- Supra-Convergent Schemes on Irregular Grids
- Stability of miscible displacements in porous media: Radial source flow
- Viscous fingering in Hele-Shaw cells
- Stability of displacement processes in porous media in radial flow geometries
- On Convergence of Block-Centered Finite Differences for Elliptic Problems
- Homogenization of Stationary Flow of Miscible Fluids in a Domain with a Grained Boundary
- The effect of order on dispersion in porous media
- Galerkin Methods for Miscible Displacement Problems in Porous Media
- Numerical Methods for Convection-Dominated Diffusion Problems Based on Combining the Method of Characteristics with Finite Element or Finite Difference Procedures
- Efficient Time-Stepping Methods for Miscible Displacement Problems in Porous Media
- Nonlinear viscous fingering in miscible displacement with anisotropic dispersion
- Mathematical Analysis of Miscible Displacement in Porous Medium
- Three-dimensional viscous fingering: A numerical study
- 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
- Taylor dispersion in porous media. Determination of the dispersion tensor
- Characteristic-Galerkin Methods for Contaminant Transport with Nonequilibrium Adsorption Kinetics
- Discontinuous Galerkin methods for flow and transport problems in porous media
- Density-driven unstable flows of miscible fluids in a Hele-Shaw cell
- Density-driven instabilities of miscible fluids in a Hele-Shaw cell: linear stability analysis of the three-dimensional Stokes equations
- Nonlinear corrections to Darcy's law at low Reynolds numbers
- Taylor Dispersion in Curved Channels
- Hyperbolic Homogenized Models for Thermal and Solutal Dispersion
- Density-driven instabilities of miscible fluids in a capillary tube: linear stability analysis
- 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
- Finite Volume Methods for Hyperbolic Problems
- Unstable density stratification of miscible fluids in a vertical Hele-Shaw cell: influence of variable viscosity on the linear stability
- DISCONTINUOUS GALERKIN METHODS FOR FIRST-ORDER HYPERBOLIC PROBLEMS
- Dispersion and Convection in Periodic Porous Media
- Averaging a transport equation with small diffusion and oscillating velocity
- A Characteristics-Mixed Finite Element Method for Advection-Dominated Transport Problems
- Simulation of viscous fingering in miscible displacements with nonmonotonic viscosity profiles
- Fingering instabilities in vertical miscible displacement flows in porous media
- MATHEMATICAL ANALYSIS FOR COMPRESSIBLE MISCIBLE DISPLACEMENT MODELS IN POROUS MEDIA
- Convection in Porous Media
- Miscible displacement in a Hele-Shaw cell at high rates
- Local one dimensional difference schemes on non-uniform nets
- Using a fully coupled flow and geomechanical simulator to model injection into heavy oil reservoirs
- Computational Methods for Multiphase Flows in Porous Media
- Rigorous Upscaling of the Reactive Flow through a Pore, under Dominant Peclet and Damkohler Numbers
- Pearl and mushroom instability patterns in two miscible fluids' core annular flows
- The Compact Discontinuous Galerkin (CDG) Method for Elliptic Problems
- Stability analysis of explicit entropy viscosity methods for non-linear scalar conservation equations
- Multilevel preconditioners for discontinuous Galerkin approximations of elliptic problems with jump coefficients
- A Fully Mass and Volume Conserving Implementation of a Characteristic Method for Transport Problems
- A New Class of Entropy Solutions of the Buckley–Leverett Equation
- Effective Macrodiffusion in Solute Transport through Heterogeneous Porous Media
- On the selection principle for viscous fingering in porous media
- An Error Estimate for Elliptic Difference Equations on a Convex Polygon
- The stability of immiscible liquid layers in a porous medium
- Convergence Estimates for Essentially Positive Type Discrete Dirichlet Problems
- Symmetric and Nonsymmetric Discontinuous Galerkin Methods for Reactive Transport in Porous Media
- Homogenization of a Nonlinear Convection-Diffusion Equation with Rapidly Oscillating Coefficients and Strong Convection
- The effect of weak inertia on flow through a porous medium
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