Characteristic block-centered finite difference method for compressible miscible displacement in porous media

DOI10.1016/J.AMC.2017.07.011zbMath1426.76476OpenAlexW2743251888MaRDI QIDQ1740111

Hong-Xing Rui, Xiao-Li Li

Publication date: 29 April 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2017.07.011

zbMATH Keywords

non-uniform gridscompressible miscible displacementcharacteristic block-centered finite difference

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Finite difference methods applied to problems in fluid mechanics (76M20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (4)

A characteristic block-centered finite difference method for Darcy-Forchheimer compressible miscible displacement problem ⋮ Convergence analysis of Crank-Nicolson Galerkin-Galerkin FEMs for miscible displacement in porous media ⋮ Characteristic methods for thermal convection problems with infinite Prandtl number on nonuniform staggered grids ⋮ A Conservative Upwind Approximation on Block-Centered Difference for Chemical Oil Recovery Displacement Problem

Cites Work

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• Non-isothermal, compressible gas flow for the simulation of an enhanced gas recovery application
• Superconvergence for rectangular mixed finite elements
• A two-grid block-centered finite difference method for nonlinear non-Fickian flow model
• Mixed finite elements in \(\mathbb{R}^3\)
• The characteristic finite difference fractional step methods for compressible two-phase displacement problem
• Error analysis of the semi-discrete local discontinuous Galerkin method for compressible miscible displacement problem in porous media
• A parallel CGS block-centered finite difference method for a nonlinear time-fractional parabolic equation
• A combined mixed and discontinuous Galerkin method for compressible miscible displacement problem in porous media
• Block-centered finite difference methods for parabolic equation with time-dependent coefficient
• On a fully coupled nonlinear parabolic problem modelling miscible compressible displacement in porous media
• A Priori Error Estimates of a Combined Mixed Finite Element and Discontinuous Galerkin Method for Compressible Miscrible Displacement with Molecular Diffusion and Dispersion
• A two-grid expanded mixed element method for nonlinear non-Fickian flow model in porous media
• A Two-Grid Block-Centered Finite Difference Method For Darcy--Forchheimer Flow in Porous Media
• Nonoverlapping domain decomposition characteristic finite differences for three-dimensional convection-diffusion equations
• Numerical Methods for a Model for Compressible Miscible Displacement in Porous Media
• Mixed Finite Element Methods for Compressible Miscible Displacement in Porous Media
• Finite Difference Methods for Two-Phase Incompressible Flow in Porous Media
• On Convergence of Block-Centered Finite Differences for Elliptic Problems
• Mixed Finite Elements for Elliptic Problems with Tensor Coefficients as Cell-Centered Finite Differences
• A Two-Grid Finite Difference Scheme for Nonlinear Parabolic Equations
• A Block-Centered Finite Difference Method for the Darcy--Forchheimer Model
• Finite volume element approximation of the coupled continuum pipe‐flow/Darcy model for flows in karst aquifers

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