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
A dynamic injection operator in a multigrid solution of convection-diffusion equations
โ Scribed by Jules Kouatchou
- Publisher
- John Wiley and Sons
- Year
- 1998
- Tongue
- English
- Weight
- 107 KB
- Volume
- 26
- Category
- Article
- ISSN
- 0271-2091
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โฆ Synopsis
A multigrid method is studied for the solution of a linear system resulting from the high-order nine-point discretization of the convection-diffusion equations. The residual injection operator is used as a substitute for the usual full-weighting in the multigrid process. A heuristic analysis is given to obtain a dynamic injection operator that is cost-effective for both diffusion-and convection-dominated problems. Numerical experiments are employed to test the stability and efficiency of the proposed method.
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