A block-centered finite difference method for slightly compressible Darcy-Forchheimer flow in porous media
DOI10.1007/s10915-017-0406-yzbMath1433.76116OpenAlexW2594381230MaRDI QIDQ1685502
Publication date: 14 December 2017
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-017-0406-y
error estimatenumerical experimentcompressibleblock-centered finite differenceDarcy-Forchheimer flow
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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)
Related Items (16)
Cites Work
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- A multipoint flux mixed finite element method on distorted quadrilaterals and hexahedra
- Qualitative study of generalized Forchheimer flows with the flux boundary condition
- An expanded mixed finite element method for generalized Forchheimer flows in porous media
- Finite difference methods for a nonlinear and strongly coupled heat and moisture transport system in textile materials
- Degenerate parabolic equations
- Stability of solutions to generalized Forchheimer equations of any degree
- 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
- Numerical well model for non-Darcy flow through isotropic porous media
- Interior estimates for generalized Forchheimer flows of slightly compressible fluids
- Block-centered finite difference methods for parabolic equation with time-dependent coefficient
- Analysis of expanded mixed finite element methods for the generalized forchheimer flows of slightly compressible fluids
- Unconditional Convergence and Optimal Error Estimates of a Galerkin-Mixed FEM for Incompressible Miscible Flow in Porous Media
- Error analysis of linearized semi-implicit Galerkin finite element methods for nonlinear parabolic equations
- A Two-Grid Block-Centered Finite Difference Method For Darcy--Forchheimer Flow in Porous Media
- The Euler implicit/explicit scheme for the 2D time-dependent Navier-Stokes equations with smooth or non-smooth initial data
- Doubly nonlinear parabolic equations for a general class of Forchheimer gas flows in porous media
- Numerical Methods for a Model for Compressible Miscible Displacement in Porous Media
- A block-centered finite difference method for Darcy-Forchheimer model with variable Forchheimer number
- Analysis of generalized Forchheimer flows of compressible fluids in porous media
- MATHEMATICAL FRAMEWORK OF THE WELL PRODUCTIVITY INDEX FOR FAST FORCHHEIMER (NON-DARCY) FLOWS 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
- Enhanced Cell-Centered Finite Differences for Elliptic Equations on General Geometry
- Optimal Error Estimates of the Chebyshev--Legendre Spectral Method for Solving the Generalized Burgers Equation
- Mixed finite element methods for generalized Forchheimer flow in porous media
- Mixed Finite Element Methods for Nonlinear Second-Order Elliptic Problems
- A Finite Element Model for the Time-Dependent Joule Heating Problem
- A Block-Centered Finite Difference Method for the Darcy--Forchheimer Model
- Forward, backward and elliptic Harnack inequalities for non-negative solutions to certain singular parabolic partial differential equations
- Convergence Analysis of a Finite Element Projection/Lagrange--Galerkin Method for the Incompressible Navier--Stokes Equations
- A Multipoint Flux Mixed Finite Element Method
- Regularity of the solution of Darcy-Forchheimer's equation
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