An Efficient Second-Order Algorithm Upon MAC Scheme for Nonlinear Incompressible Darcy–Brinkman–Forchheimer Model

DOI10.1007/S00021-024-00851-WMaRDI QIDQ6489195

Wei Liu, Unnamed Author, Unnamed Author, Unnamed Author

Publication date: 19 April 2024

Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)

Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite difference methods for boundary value problems involving PDEs (65N06)

Cites Work

An analysis of a mixed finite element method for the Navier-Stokes equations
A semi-analytic porosity evolution scheme for simulating wormhole propagation with the Darcy-Brinkman-Forchheimer model
Immersed finite element approximation for semi-linear parabolic interface problems combining with two-grid methods
Local and parallel finite element methods based on two-grid discretizations for a non-stationary coupled Stokes-Darcy model
Two-grid finite element methods for nonlinear time-fractional parabolic equations
Error analysis for the finite element approximation of the Darcy-Brinkman-Forchheimer model for porous media with mixed boundary conditions
A fully-mixed formulation for the steady double-diffusive convection system based upon Brinkman-Forchheimer equations
A new two-grid nonconforming mixed finite element method for nonlinear Benjamin-Bona-Mahoney equation
Convergence analysis of triangular MAC schemes for two dimensional Stokes equations
On continuous dependence on coefficients of the Brinkman-Forchheimer equations
Numerical solution of a miscible displacement problem with dispersion term using a two-grid mixed finite element approach
Block-centered finite difference methods for parabolic equation with time-dependent coefficient
A Two-Grid Block-Centered Finite Difference Method For Darcy--Forchheimer Flow in Porous Media
Convergence of the MAC Scheme for the Compressible Stokes Equations
A block-centered finite difference method for Darcy-Forchheimer model with variable Forchheimer number
Remarks on the links between low-order DG methods and some finite-difference schemes for the Stokes problem
On Convergence of Block-Centered Finite Differences for Elliptic Problems
Analysis and Convergence of the MAC Scheme. I. The Linear Problem
A Novel Two-Grid Method for Semilinear Elliptic Equations
An Implementation of MAC Grid-Based IIM-Stokes Solver for Incompressible Two-Phase Flows
Two-Grid Discretization Techniques for Linear and Nonlinear PDE<scp>s</scp>
Convergence and Continuous Dependence for the Brinkman–Forchheimer Equations
A two-grid finite element method for nonlinear parabolic integro-differential equations
A Two-Grid Finite-Volume Method for the Schrodinger Equation
Two-Grid Finite Volume Element Method Combined with Crank-Nicolson Scheme for Semilinear Parabolic Equations
Superconvergence of a fully conservative finite difference method on non-uniform staggered grids for simulating wormhole propagation with the Darcy–Brinkman–Forchheimer framework
Superconvergence analysis of the MAC scheme for the two dimensional stokes problem
Stability and Superconvergence of MAC Scheme for Stokes Equations on Nonuniform Grids
Divergence‐free discontinuous Galerkin schemes for the Stokes equations and the MAC scheme
A calculation of the viscous force exerted by a flowing fluid on a dense swarm of particles

This page was built for publication: An Efficient Second-Order Algorithm Upon MAC Scheme for Nonlinear Incompressible Darcy–Brinkman–Forchheimer Model