A note on an accelerated high-accuracy multigrid solution of the convection-diffusion equation with high Reynolds number

✍ Scribed by Jun Zhang

• Publisher: John Wiley and Sons
• Year: 2000
• Tongue: English
• Weight: 267 KB
• Volume: 16
• Category: Article
• ISSN: 0749-159X
• DOI: 10.1002/(sici)1098-2426(200001)16:1<1::aid-num1>3.0.co;2-5

✦ Synopsis

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 fourthorder compact discretization are investigated numerically.