Gradient discretization of hybrid dimensional Darcy flows in fractured porous media
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Summary
The vertex approximate gradient scheme and the hybrid finite volume scheme are extended to such models and are shown to verify the gradient scheme framework.
- Type
- article
- Published
- 2014-06-15
- Cited by
- 65
- References
- 31
- Access
- Open access
- OpenAlex
- https://openalex.org/W171913366
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:217319939
Keywords
Discretization, Mathematics, Porous medium, Darcy's law, Finite volume method
References
- Iterative methods for sparse linear systems
- Functional Analysis, Sobolev Spaces and Partial Differential Equations
- Strongly elliptic systems and boundary integral equations
- A model for conductive faults with non-matching grids
- A FAMILY OF MIMETIC FINITE DIFFERENCE METHODS ON POLYGONAL AND POLYHEDRAL MESHES
- Boundary Integral Operators on Lipschitz Domains: Elementary Results
- Mixed-dimensional Model - CVD-MPFA Coupled with a Lower-dimensional Fracture Model
- A mixed finite element method for Darcy flow in fractured porous media with non-matching grids
- The density difference and generalized programs for two- and three-dimensional gravity modeling
- Control-Volume Model for Simulation of Water Injection in Fractured Media: Incorporating Matrix Heterogeneity and Reservoir Wettability Effects
- Control-volume distributed multi-point flux approximation coupled with a lower-dimensional fracture model
- Traces, extensions and co-normal derivatives for elliptic systems on Lipschitz domains
- Domain decomposition for an asymptotic geological fault modeling
- An efficient multi-point flux approximation method for Discrete Fracture-Matrix simulations
- Modeling Fractures and Barriers as Interfaces for Flow in Porous Media
- Vertex-centred discretization of multiphase compositional Darcy flows on general meshes
- A reduced model for Darcy’s problem in networks of fractures
- A UNIFIED APPROACH TO MIMETIC FINITE DIFFERENCE, HYBRID FINITE VOLUME AND MIXED FINITE VOLUME METHODS
- GRADIENT SCHEMES: A GENERIC FRAMEWORK FOR THE DISCRETISATION OF LINEAR, NONLINEAR AND NONLOCAL ELLIPTIC AND PARABOLIC EQUATIONS
- ASYMPTOTIC AND NUMERICAL MODELLING OF FLOWS IN FRACTURED POROUS MEDIA
Cited by
- Gradient schemes: Generic tools for the numerical analysis of diffusion equations
- First-order indicators for the estimation of discrete fractures in porous media
- MIMETIC FINITE DIFFERENCE APPROXIMATION OF FLOWS IN FRACTURED POROUS MEDIA
- Immiscible two-phase Darcy flow model accounting for vanishing and discontinuous capillary pressures: application to the flow in fractured porous media
- Benchmarks for single-phase flow in fractured porous media
- Parallel numerical modeling of hybrid-dimensional compositional non-isothermal Darcy flows in fractured porous media
- Numerical analysis of a two-phase flow discrete fracture model
- Parallel geothermal numerical model with faults and multi-branch wells
- Flow simulations in porous media with immersed intersecting fractures
- A Hybrid High-Order Method for Darcy Flows in Fractured Porous Media
- Hybrid-dimensional modelling of two-phase flow through fractured porous media with enhanced matrix fracture transmission conditions
- CVD-MPFA full pressure support, coupled unstructured discrete fracture-matrix Darcy-flux approximations
- Discrétisation gradient de modèles d’écoulements à dimensions hybrides dans les milieux poreux fracturés
- Hybrid dimensional modeling of multi-phase Darcy flows in fractured porous media
- Hybrid-Dimensional Finite Volume Discretizations for Fractured Porous Media
- A Lagrange multiplier method for a discrete fracture model for flow in porous media
- Conforming, non-conforming and non-matching discretization couplings in discrete fracture network simulations
- Two-phase Discrete Fracture Matrix models with linear and nonlinear transmission conditions
- Finite-Volume Discretisations for Flow in Fractured Porous Media
- A Unified Analysis of Elliptic Problems with Various Boundary Conditions and Their Approximation
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