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

Jun Zhang

Research output: Contribution to journalArticlepeer-review

13 Scopus citations

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 languageEnglish
Pages (from-to)1-10
Number of pages10
JournalNumerical Methods for Partial Differential Equations
Volume16
Issue number1
DOIs
StatePublished - 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

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