A fourth-order compact difference scheme on face centered cubic grids with multigrid method for solving 2D convection diffusion equation.

DOI10.1016/S0378-4754(03)00095-8zbMath1036.65082OpenAlexW1972834700MaRDI QIDQ1418594

Eric S. Carlson, Jun Zhang, Ning Kang, Hai-Wei Sun

Publication date: 14 January 2004

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0378-4754(03)00095-8

zbMATH Keywords

convergencenumerical examplesnumerical experimentsMultigrid methodConvection diffusion equationFace centered cubic gridFourth-order compact finite difference scheme

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Iterative numerical methods for linear systems (65F10) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (9)

An efficient extrapolation full multigrid method for elliptic problems in two and three dimensions ⋮ A fast and efficient two-grid method for solving \(d\)-dimensional Poisson equations ⋮ A family of sixth-order compact finite-difference schemes for the three-dimensional Poisson equation ⋮ An efficient extrapolation multigrid method based on a HOC scheme on nonuniform rectilinear grids for solving 3D anisotropic convection-diffusion problems ⋮ Mixed two-grid finite difference methods for solving one-dimensional and two-dimensional Fitzhugh-Nagumo equations ⋮ Comparative study of grids based on the cubic crystal system for the FDTD solution of the wave equation ⋮ An FDTD scheme on a face-centered-cubic (FCC) grid for the solution of the wave equation ⋮ Fast and robust sixth-order multigrid computation for the three-dimensional convection-diffusion equation ⋮ A multigrid compact finite difference method for solving the one-dimensional nonlinear sine-Gordon equation

Uses Software

• Wesseling

Cites Work

• Comparison of second- and fourth-order discretizations for multigrid Poisson solvers
• A compact multigrid solver for convection-diffusion equations
• Asymptotic stability of a 9-point multigrid algorithm for convection-diffusion equations
• Analysis of stationary iterative methods for the discrete convection--diffusion equation with a 9-point compact scheme
• Compact \(h^ 4\) finite-difference approximations to operators of Navier- Stokes type
• A single cell high order scheme for the convection-diffusion equation with variable coefficients
• High-order difference schemes for two-dimensional elliptic equations
• Accuracy, robustness and efficiency comparison in iterative computation of convection diffusion equation with boundary layers
• A compact fourth‐order finite difference scheme for the steady incompressible Navier‐Stokes equations
• High‐order compact scheme for the steady stream‐function vorticity equations
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