Abstract
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 the convection coefficients, an alternating line Gauss-Seidel relaxation, and a minimal residual smoothing acceleration technique for the multigrid solution method. The new implementation strategy is tested to show an improved convergence rate with three problems, including one with a stagnation point in the computational domain. The effect of residual scaling and the algebraic properties of the coefficient matrix arising from the fourth-order compact discretization are investigated numerically.
Original language | English |
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Pages (from-to) | 1-10 |
Number of pages | 10 |
Journal | Numerical Methods for Partial Differential Equations |
Volume | 16 |
Issue number | 1 |
DOIs | |
State | Published - Jan 2000 |
Keywords
- Convection-diffusion equation
- Fourth-order compact discretization schemes
- Multigrid method
- Residual transfer operators
ASJC Scopus subject areas
- Analysis
- Numerical Analysis
- Computational Mathematics
- Applied Mathematics