Multidimensional upwind convection schemes for flow in porous media on structured and unstructured quadrilateral grids
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Publication:984933
DOI10.1016/j.cam.2009.08.069zbMath1402.76081OpenAlexW1985197137MaRDI QIDQ984933
Michael G. Edwards, Sadok Lamine
Publication date: 20 July 2010
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2009.08.069
Flows in porous media; filtration; seepage (76S05) Finite volume methods applied to problems in fluid mechanics (76M12) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)
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Mixed-hybrid and vertex-discontinuous-Galerkin finite element modeling of multiphase compositional flow on 3D unstructured grids ⋮ 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 rotated lattice Boltzmann flux solver with improved stability for the simulation of compressible flows with intense shock waves at high Mach number ⋮ Simulation of multi-component multi-phase fluid flow in two-dimensional anisotropic heterogeneous porous media using high-order control volume distributed methods ⋮ Multidimensional upwind schemes and higher resolution methods for three-component two-phase systems including gravity driven flow in porous media on unstructured grids ⋮ Multi-dimensional wave-oriented upwind schemes with reduced cross-wind diffusion for flow in porous media ⋮ 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
Cites Work
- Multidimensional upwind methods for hyperbolic conservation laws
- Higher order Godunov methods for general systems of hyperbolic conservation laws
- Implicit flux limiting schemes for petroleum reservoir simulation
- Skew upstream differencing schemes for problems involving fluid flow
- Cross flow tensors and finite volume approximation with by deferred correction
- A higher-order Godunov scheme coupled with dynamic local grid refinement for flow in a porous medium
- Unstructured, control-volume distributed, full-tensor finite volume schemes with flow based grids
- Higher‐resolution hyperbolic‐coupled‐elliptic flux‐continuous CVD schemes on structured and unstructured grids in 2‐D
- Convergence study of a family of flux‐continuous, finite‐volume schemes for the general tensor pressure equation
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