A fully implicit mimetic finite difference scheme for general purpose subsurface reservoir simulation with full tensor permeability
DOI10.1016/j.jcp.2019.109194zbMath1453.76120OpenAlexW2996289984WikidataQ126534186 ScholiaQ126534186MaRDI QIDQ2223304
Kirill M. Terekhov, Ahmad S. Abushaikha
Publication date: 28 January 2021
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2019.109194
reservoir simulationunstructured gridsmixed formulationfully implicitmimetic finite differencetensor permeability
Flows in porous media; filtration; seepage (76S05) Finite difference methods applied to problems in fluid mechanics (76M20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Three or more component flows (76T30)
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Cites Work
- q-families of CVD(MPFA) schemes on general elements: numerical convergence and the maximum principle
- Solving diffusion equations with rough coefficients in rough grids
- A monotone nonlinear finite volume method for diffusion equations and multiphase flows
- Open-source MATLAB implementation of consistent discretisations on complex grids
- Discrete fracture model for coupled flow and geomechanics
- Mimetic finite difference method
- Adjoint operators for the natural discretizations of the divergence, gradient and curl on logically rectangular grids
- Cell-centered nonlinear finite-volume methods for the heterogeneous anisotropic diffusion problem
- Fully implicit mixed-hybrid finite-element discretization for general purpose subsurface reservoir simulation
- Monotone nonlinear finite-volume method for challenging grids
- Discretization on quadrilateral grids with improved monotonicity properties
- An introduction to multipoint flux approximations for quadrilateral grids
- A general preconditioning framework for coupled multiphysics problems with application to contact- and poro-mechanics
- Interface control volume finite element method for modelling multi-phase fluid flow in highly heterogeneous and fractured reservoirs
- Convergence of a symmetric MPFA method on quadrilateral grids
- Enriched multi-point flux approximation for general grids
- Finite volume monotone scheme for highly anisotropic diffusion operators on unstructured triangular meshes. (Schéma volumes finis monotone pour des opérateurs de diffusion fortement anisotropes sur des maillages de triangles non structurés).
- The mimetic finite difference method for elliptic problems
- Geometrical interpretation of the multi-point flux approximation L-method
- A UNIFIED APPROACH TO MIMETIC FINITE DIFFERENCE, HYBRID FINITE VOLUME AND MIXED FINITE VOLUME METHODS
- A Multipoint Flux Mixed Finite Element Method
- Higher‐resolution hyperbolic‐coupled‐elliptic flux‐continuous CVD schemes on structured and unstructured grids in 2‐D
- On the convergence of the multi‐point flux approximation O‐method: Numerical experiments for discontinuous permeability
- A FAMILY OF MIMETIC FINITE DIFFERENCE METHODS ON POLYGONAL AND POLYHEDRAL MESHES
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