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
DOI10.1016/j.apm.2022.02.023zbMath1503.76103OpenAlexW4213271127MaRDI QIDQ2109493
Gustavo Galindez-Ramirez, Fernando R. L. Contreras, Darlan K. E. Carvalho, Paulo R. M. Lyra
Publication date: 21 December 2022
Published in: Applied Mathematical Modelling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apm.2022.02.023
high-order approximationsflux reconstructionanisotropic and heterogeneous petroleum reservoirsBrezzi-Douglas-Marini velocity field reconstructionMPFA-QLoil-water displacements
Hydrology, hydrography, oceanography (86A05) Finite volume methods applied to problems in fluid mechanics (76M12) Liquid-liquid two component flows (76T06)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A simplified formulation of the flux reconstruction method
- On the accuracy and efficiency of discontinuous Galerkin, spectral difference and correction procedure via reconstruction methods
- Multi-level adaptive simulation of transient two-phase flow in heterogeneous porous media
- A new class of high-order energy stable flux reconstruction schemes
- On the simulation of wave propagation with a higher-order finite volume scheme based on reproducing kernel methods
- A fully-coupled discontinuous Galerkin method for two-phase flow in porous media with discontinuous capillary pressure
- Hierarchical multi-dimensional limiting strategy for correction procedure via reconstruction
- Robust streamline tracing for the simulation of porous media flow on general triangular and quadrilateral grids
- Monotone finite volume schemes for diffusion equations on polygonal meshes
- Multiscale modeling and simulation in science. Papers based on the presentations at the summer school, Bosön, Stockholm, Sweden, June 2007
- Multidimensional upwind convection schemes for flow in porous media on structured and unstructured quadrilateral grids
- Accurate velocity reconstruction for discontinuous Galerkin approximations of two-phase porous medium flows
- Two families of mixed finite elements for second order elliptic problems
- An h-p adaptive finite element method for the numerical simulation of compressible flow
- Efficient implementation of essentially nonoscillatory shock-capturing schemes. II
- TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. III: One-dimensional systems
- Finite volume discretization with imposed flux continuity for the general tensor pressure equation
- High order discontinuous Galerkin method for simulating miscible flooding in porous media
- A cell-centered multipoint flux approximation method with a diamond stencil coupled with a higher order finite volume method for the simulation of oil-water displacements in heterogeneous and anisotropic petroleum reservoirs
- A fully-coupled discontinuous Galerkin spectral element method for two-phase flow in petroleum reservoirs
- Numerical solutions of the incompressible miscible displacement equations in heterogeneous media
- Compact direct flux reconstruction for conservation laws
- Discontinuous Galerkin methods for coupled flow and reactive transport problems
- A non-linear finite volume method coupled with a modified higher order MUSCL-type method for the numerical simulation of two-phase flows in non-homogeneous and non-isotropic oil reservoirs
- Discontinuous Galerkin via interpolation: the direct flux reconstruction method
- Numerical simulation of 1-D oil and water displacements in petroleum reservoirs using the correction procedure via reconstruction (CPR) method
- A new multipoint flux approximation method with a quasi-local stencil (MPFA-QL) for the simulation of diffusion problems in anisotropic and heterogeneous media
- Monotone finite volume schemes for diffusion equations on unstructured triangular and shape-regular polygonal meshes
- A linearity-preserving cell-centered scheme for the heterogeneous and anisotropic diffusion equations on general meshes
- A UNIFYING DISCONTINUOUS FORMULATION FOR HYBRID MESHES
- Global and local central non-upwind finite volume schemes for hyperbolic conservation laws in porous media
- Some results on the accuracy of an edge-based finite volume formulation for the solution of elliptic problems in non-homogeneous and non-isotropic media
- A node-centred finite volume formulation for the solution of two-phase flows in non-homogeneous porous media
- Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations
- Discontinuous Galerkin methods for flow and transport problems in porous media
- Discretization on Unstructured Grids For Inhomogeneous, Anisotropic Media. Part II: Discussion And Numerical Results
- Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
- Finite Volume Methods for Hyperbolic Problems
- Grid orientation effect in coupled finite volume schemes
- On the accuracy of a nonlinear finite volume method for the solution of diffusion problems using different interpolations strategies
- An Introduction to the Numerics of Flow in Porous Media using Matlab
- Higher‐resolution hyperbolic‐coupled‐elliptic flux‐continuous CVD schemes on structured and unstructured grids in 2‐D
- An unstructured edge-based finite volume formulation for solving immiscible two-phase flows in porous media
This page was built for publication: 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