Less-intrusive consistent discretization methods for reservoir simulation on cut-cell grids -- algorithms, implementation, and testing

Hydrology, hydrography, oceanography (86A05) Flows in porous media; filtration; seepage (76S05) Finite volume methods applied to problems in fluid mechanics (76M12)

Cites Work

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A monotone nonlinear finite volume method for diffusion equations and multiphase flows
Open-source MATLAB implementation of consistent discretisations on complex grids
Monotone finite volume schemes for diffusion equations on polygonal meshes
Interpolation-free monotone finite volume method for diffusion equations on polygonal meshes
Local flux mimetic finite difference methods
Finite volume discretization with imposed flux continuity for the general tensor pressure equation
Convergence of nonlinear finite volume schemes for heterogeneous anisotropic diffusion on general meshes
Monotone nonlinear finite-volume method for challenging grids
Discretization on non-orthogonal, quadrilateral grids for inhomogeneous, anisotropic media
A novel block non-symmetric preconditioner for mixed-hybrid finite-element-based Darcy flow simulations
An implementation of mimetic finite difference method for fractured reservoirs using a fully implicit approach and discrete fracture models
A fully implicit mimetic finite difference scheme for general purpose subsurface reservoir simulation with full tensor permeability
Monotone finite volume schemes for diffusion equations on unstructured triangular and shape-regular polygonal meshes
A note on a block preconditioner
A generalized Mimetic Finite Difference method and Two-Point Flux schemes over Voronoi diagrams
Construction and Convergence Study of Schemes Preserving the Elliptic Local Maximum Principle
Block Preconditioning for the Conjugate Gradient Method
A monotone nonlinear finite volume method for diffusion equations on conformal polyhedral meshes
GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems
Minimal stencil finite volume scheme with the discrete maximum principle
An Introduction to Reservoir Simulation Using MATLAB/GNU Octave
Convergence of the Mimetic Finite Difference Method for Diffusion Problems on Polyhedral Meshes

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