Adaptive enriched Galerkin methods for miscible displacement problems with entropy residual stabilization
DOI10.1016/j.jcp.2016.10.072zbMath1378.76048arXiv1610.07121OpenAlexW2542144749MaRDI QIDQ680192
Sanghyun Lee, Mary Fanett Wheeler
Publication date: 22 January 2018
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1610.07121
miscible displacementHele-Shawviscous fingeringentropy viscosityenriched Galerkin finite element methodslocally conservative methods
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)
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Cites Work
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- The \texttt{deal.II} library, version 8.4
- A fully-coupled upwind discontinuous Galerkin method for incompressible porous media flows: high-order computations of viscous fingering instabilities in complex geometry
- Implementation of the entropy viscosity method with the discontinuous Galerkin method
- Entropy viscosity method for nonlinear conservation laws
- \(L^{2}(H^{1})\) norm a posteriori error estimation for discontinuous Galerkin approximations of reactive transport problems
- Compatible algorithms for coupled flow and transport
- A fully-coupled discontinuous Galerkin method for two-phase flow in porous media with discontinuous capillary pressure
- 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
- Mathematical theory of stationary miscible filtration
- Adaptive mesh refinement and multilevel iteration for flow in porous media
- A higher-order Godunov scheme coupled with dynamic local grid refinement for flow in a porous medium
- Analytical and variational numerical methods for unstable miscible displacement flows in porous media
- Discontinuous Galerkin methods for coupled flow and reactive transport problems
- Uniqueness of the solution of the Cauchy problem for a first order quasilinear equation with one admissible strictly convex entropy
- 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 posteriori error estimation and dynamic adaptivity for symmetric discontinuous Galerkin approximations of reactive transport problems
- Diffusive slowdown in miscible viscous fingering
- Adaptive fully implicit multi-scale finite-volume method for multi-phase flow and transport in heterogeneous porous media
- Dynamic scaling in miscible viscous fingering
- A Locally Conservative Enriched Galerkin Approximation and Efficient Solver for Elliptic and Parabolic Problems
- Numerical experiments on Hele Shaw flow with a sharp interface
- p4est: Scalable Algorithms for Parallel Adaptive Mesh Refinement on Forests of Octrees
- The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid
- An overview of the Trilinos project
- Instability of miscible interfaces in a cylindrical tube
- A Locally Conservative Finite Element Method Based on Piecewise Constant Enrichment of the Continuous Galerkin Method
- A discontinuous Galerkin method with weighted averages for advection-diffusion equations with locally small and anisotropic diffusivity
- The approximation of the pressure by a mixed method in the simulation of miscible displacement
- Stability of miscible displacements in porous media: Rectilinear flow
- Stability of miscible displacements in porous media: Radial source flow
- 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
- Characteristic, local grid refinement techniques for reservoir flow problems
- An Elliptic Collocation-Finite Element Method with Interior Penalties
- A Posteriori Error Estimation Based on Discrepancies in an Entropy Variable
- Discontinuous Galerkin methods for flow and transport problems in porous media
- Numerical Entropy Production for Central Schemes
- A Characteristics-Mixed Finite Element Method for Advection-Dominated Transport Problems
- Fingering instabilities in vertical miscible displacement flows in porous media
- Miscible displacement in a Hele-Shaw cell at high rates
- Stability analysis of explicit entropy viscosity methods for non-linear scalar conservation equations
- On the selection principle for viscous fingering in porous media
- A Domain Decomposition Method Based on Weighted Interior Penalties for Advection‐Diffusion‐Reaction Problems
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