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Accelerated multigrid high accuracy solution of the convection-diffusion equation with high Reynolds number

โœ Scribed by Jun Zhang

Publisher
John Wiley and Sons
Year
1997
Tongue
English
Weight
133 KB
Volume
13
Category
Article
ISSN
0749-159X

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โœฆ Synopsis

A fourth-order compact finite difference scheme is employed with the multigrid algorithm to obtain highly accurate numerical solution of the convection-diffusion equation with very high Reynolds number and variable coefficients. The multigrid solution process is accelerated by a minimal residual smoothing (MRS) technique. Numerical experiments are employed to show that the proposed multigrid solver is stable and yields accurate solution for high Reynolds number problems. We also show that the MRS acceleration procedure is efficient and the acceleration cost is negligible.

๐Ÿ“œ SIMILAR VOLUMES

A note on an accelerated high-accuracy m
A note on an accelerated high-accuracy multigrid solution of the convection-diffusion equation with high Reynolds number
โœ Jun Zhang ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 267 KB ๐Ÿ‘ 2 views

We present a new strategy to accelerate the convergence rate of a high-accuracy multigrid method for the numerical solution of the convection-diffusion equation at the high Reynolds number limit. We propose a scaled residual injection operator with a scaling factor proportional to the magnitude of t