TY - GEN

T1 - Multigrid and defect correction for the steady Navier-Stokes equations

AU - Koren, B.

PY - 1989

Y1 - 1989

N2 - Theoretical and experimental convergence results are presented for multigrid and iterative defect correction applied to finite volume discretizations of the steady, 2D, compressible Navier-Stokes equations. Iterative defect correction is introduced for circumventing the difficulty in finding a solution of discretized equations with a second- or higher-order accurate convective part. As a smoothing technique, use is made of point Gauss-Seidel relaxation with, inside the latter, Newton iteration as a basic solution method. The multigrid technique appears to be very efficient for smooth as well as non-smooth problems. Iterative defect correction appears to be very efficient for smooth problems only, though still reasonably efficient for non-smooth problems.

AB - Theoretical and experimental convergence results are presented for multigrid and iterative defect correction applied to finite volume discretizations of the steady, 2D, compressible Navier-Stokes equations. Iterative defect correction is introduced for circumventing the difficulty in finding a solution of discretized equations with a second- or higher-order accurate convective part. As a smoothing technique, use is made of point Gauss-Seidel relaxation with, inside the latter, Newton iteration as a basic solution method. The multigrid technique appears to be very efficient for smooth as well as non-smooth problems. Iterative defect correction appears to be very efficient for smooth problems only, though still reasonably efficient for non-smooth problems.

M3 - Conference contribution

T3 - Notes on Numerical Fluid Mechanics

SP - 161

EP - 177

BT - Proceedings of the 4th GAMM-Seminar on Robust Multi-Grid Methods, 22-24 January 1988, University of Kiel, Germany

A2 - Hackbusch, W.

PB - Vieweg

CY - Braunschweig/Wiesbaden

T2 - conference; Fourth GAMM-Seminar; 1988-01-22; 1988-01-24

Y2 - 22 January 1988 through 24 January 1988

ER -