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 -