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A Multigrid Solver based on Distributive Smoother and Residual Overweighting for Oseen Problems

Published online by Cambridge University Press:  28 May 2015

Long Chen ,
Xiaozhe Hu ,
Ming Wang  and
Jinchao Xu
Long Chen*
Affiliation:
Department of Mathematics, University of California at Irvine, Irvine, CA, 92697, USA
Xiaozhe Hu
Affiliation:
Department of Mathematics, Tufts University, Medford, MA 02155
Ming Wang
Affiliation:
LMAM, School of Mathematical Sciences, Peking University, Beijing 100871, China
Jinchao Xu
Affiliation:
Department of Mathematics, Pennsylvania State University, University Park, PA 16801, USA
*
*Email addresses: chenlong@math.uci.edu (Long Chen), xiaozhe.hu@tufts.edu (Xiaozhe Hu), wangming.pku@gmail.com (Ming Wang), xu@math.psu.edu (Jinchao Xu)
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Abstract

An efficient multigrid solver for the Oseen problems discretized by Marker and Cell (MAC) scheme on staggered grid is developed in this paper. Least squares commutator distributive Gauss-Seidel (LSC-DGS) relaxation is generalized and developed for Oseen problems. Residual overweighting technique is applied to further improve the performance of the solver and a defect correction method is suggested to improve the accuracy of the discretization. Some numerical results are presented to demonstrate the efficiency and robustness of the proposed solver.

Keywords

Navier-Stokes equationsLSC-DGSmultigrid
Type
Research Article
Information
Numerical Mathematics: Theory, Methods and Applications , Volume 8 , Issue 2 , May 2015 , pp. 237 - 252
Copyright
Copyright © Global-Science Press 2015 

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