Upwind finite difference method for miscible oil and water displacement problem with moving boundary values

DOI10.1007/s10483-009-1103-xzbMath1354.65175OpenAlexW1968548890MaRDI QIDQ2267854

Cheng-shun Yang, Chang-Feng Li, Yi-Rang Yuan, Yu-Ji Han

Publication date: 9 March 2010

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-009-1103-x

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Cites Work

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• Finite difference method and analysis for three-dimensional semiconductor device of heat conduction
• Convergence analysis of an approximation of miscible displacement in porous media by mixed finite elements and a modified method of characteristics
• Numerical simulation of migration-accumulation of oil resources
• Numerical simulation and application of three-dimensional oil resources migration-accumulation of fluid dynamics in porous media
• Characteristic finite difference methods for moving boundary value problem of numerical simulation of oil deposit
• The characteristic mixed finite element method and analysis for three-dimensional moving boundary value problem
• Numerical Methods for a Model for Compressible Miscible Displacement in Porous Media
• Finite Difference Methods for Two-Phase Incompressible Flow in Porous Media
• A Modified Upwind Scheme for Convective Transport Equations and the Use of a Conjugate Gradient Method for the Solution of Non-Symmetric Systems of Equations
• Iterative Methods for the Localization of the Global Maximum
• Finite Difference Scheme for Parabolic Problems on Composite Grids with Refinement in Time and Space
• Finite Volume Methods for Convection-Diffusion Problems