Cell-centered finite difference method for the one-dimensional Forchheimer laws

DOI10.1007/s40840-017-0460-5zbMathNoneOpenAlexW2582167765MaRDI QIDQ523206

Wei Liu, Hong-Xing Rui, Qing-li Zhao

Publication date: 20 April 2017

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-017-0460-5

zbMATH Keywords

error estimatesincompressible fluidsnumerical analysiscell-centered finite differenceForchheimer laws

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Error bounds for numerical methods for ordinary differential equations (65L70) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items (3)

Barycentric rational collocation method for the incompressible Forchheimer flow in porous media ⋮ An \(h-\) adaptive local discontinuous Galerkin method for simulating wormhole propagation with Darcy-Forcheiner model ⋮ Stability analysis and error estimates of fully-discrete local discontinuous Galerkin methods for simulating wormhole propagation with Darcy-Forchheimer model

Cites Work

• Cell-centered finite difference method for parabolic equation
• Numerical discretization of a Darcy-Forchheimer model
• Comparison between different numerical discretizations for a Darcy-Forchheimer model
• Theoretical derivation of Darcy's law
• Mixed element method for two-dimensional Darcy-Forchheimer model
• One-dimensional two-phase generalized Forchheimer flows of incompressible fluids
• A mixed element method for Darcy-Forchheimer incompressible miscible displacement problem
• Block-centered finite difference methods for parabolic equation with time-dependent coefficient
• Analysis of generalized Forchheimer flows of compressible fluids in porous media
• On Convergence of Block-Centered Finite Differences for Elliptic Problems
• Finite Element Approximation of the p-Laplacian
• Mixed Finite Elements for Elliptic Problems with Tensor Coefficients as Cell-Centered Finite Differences
• Enhanced Cell-Centered Finite Differences for Elliptic Equations on General Geometry
• Mixed finite element methods for generalized Forchheimer flow in porous media
• A Block-Centered Finite Difference Method for the Darcy--Forchheimer Model

This page was built for publication: Cell-centered finite difference method for the one-dimensional Forchheimer laws