Title: A multigrid prolongation relaxation method for solving non-linear equations and its applications

Authors: R.L. Li; B. Yu; W. Li

Addresses: Beijing Key Laboratory of Urban Oil and Gas Distribution Technology, China University of Petroleum, Changping District, Beijing, China ' Beijing Key Laboratory of Urban Oil and Gas Distribution Technology, China University of Petroleum, Changping District, Beijing, China ' Beijing Key Laboratory of Urban Oil and Gas Distribution Technology, China University of Petroleum, Changping District, Beijing, China

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.

Keywords: multigrid prolongation relaxation; nonlinear equations; SIMPLE algorithm; convective-diffusion problems; computational fluid dynamics; CFD; heat transfer.

DOI: 10.1504/PCFD.2013.053661

Progress in Computational Fluid Dynamics, An International Journal, 2013 Vol.13 No.3/4, pp.202 - 211

Published online: 31 Oct 2013 *

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