A multigrid prolongation relaxation method for solving non-linear equations and its applications. (1st January 2013)

• Record Type: Journal Article
• Authors: Li, R.L.; Yu, B.; Li, W.
• Is Part Of: Progress in computational fluid dynamics. Volume 13:Number 3/4(2013)
• Page Start: 202
• Page End: 211
• Publication Date: 2013-01-01
• Subjects: multigrid -- prolongation relaxation technique -- SIMPLE algorithm; Fluid dynamics -- Data processing -- Periodicals; Fluid dynamics -- Mathematics -- Periodicals; 620.10640285
• Languages: English
• ISSNs: 1468-4349

Abstract

A simple but effective relaxation technique is proposed in multigrid prolongation procedure for solving non-linear equations. The key procedure is relaxing the corrections to be prolonged from coarse to fine grid level. The computational results of two-dimensional convective-diffusion problems indicate that it performs well for both single variable problem solvers and multi-variables coupling problem solvers like SIMPLE algorithm. By applying prolongation relaxation method, the convergence rate improves 21.9 times at most in our calculation.