Analysis of a New Method for Computing the Flow of Miscible Fluids in a Porous Medium

DOI10.1137/0722062zbMath0586.76168OpenAlexW2024136821MaRDI QIDQ3713750

John B. Bell, Gregory R. Shubin, Mary Fanett Wheeler

Publication date: 1985

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0722062

zbMATH Keywords

maximum principleconvergenceGalerkin procedurequasi-uniform meshgrid orientation effectmulti-component single-phase flowpiecewise-linear Galerkin proceduretwo-component, incompressible flowvelocity- and mesh-dependent diffusion term

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Multiphase and multicomponent flows (76T99) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Related Items (3)

Analytical and variational numerical methods for unstable miscible displacement flows in porous media ⋮ An analysis of the grid orientation effect in numerical simulation of miscible displacement ⋮ An improved implementation of the McCracken and Yanosik nine point finite difference procedure

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