A high accuracy defect-correction multigrid method for the steady incompressible Navier-Stokes equations

DOI10.1006/jcph.1994.1162zbMath0811.65113OpenAlexW2025732555MaRDI QIDQ1339546

Irfan Altas, Kevin Burrage

Publication date: 6 December 1994

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jcph.1994.1162

zbMATH Keywords

performanceconvergencefinite difference methodnumerical examplesefficiencyparallel computationPoisson equationsteady incompressible Navier-Stokes equationshigh accuracy defect-correction multigrid method

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Numerical computation of solutions to systems of equations (65H10) Navier-Stokes equations for incompressible viscous fluids (76D05) Finite difference methods applied to problems in fluid mechanics (76M20) Navier-Stokes equations (35Q30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Parallel numerical computation (65Y05) Finite difference methods for boundary value problems involving PDEs (65N06) Applications to the sciences (65Z05)

Related Items

Optimal injection operator and high order schemes for multigrid solution of 3D poisson equation ⋮ New approach in boundary conditions for incompressible flows using characteristic relations ⋮ A positivity-preserving, implicit defect-correction multigrid method for turbulent combustion ⋮ A compact multigrid solver for convection-diffusion equations ⋮ Unnamed Item ⋮ Genuinely multidimensional characteristic‐based scheme for incompressible flows ⋮ A study of a numerical solution of the steady two dimensions Navier--Stokes equations in a constricted channel problem by a compact fourth order method. ⋮ Numerical simulation of 2D square driven cavity using fourth-order compact finite difference schemes ⋮ An efficient higher order compact scheme to capture heat transfer solutions in spherical geometry ⋮ Unnamed Item ⋮ A high-order ADI method for parabolic problems with variable coefficients ⋮ Toward textbook multigrid efficiency for fully implicit resistive magnetohydrodynamics ⋮ Analysis of stationary iterative methods for the discrete convection--diffusion equation with a 9-point compact scheme ⋮ On cyclic reduction and finite difference schemes

Cites Work

• Defect correction for nonlinear elliptic difference equations
• A single cell high order scheme for the convection-diffusion equation with variable coefficients
• High accuracy solutions of incompressible Navier-Stokes equations