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Parallel multigrid method for finite element simulations of complex flow problems on locally refined meshes
Author(s) -
Kimmritz Madlen,
Richter Thomas
Publication year - 2011
Publication title -
numerical linear algebra with applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.02
H-Index - 53
eISSN - 1099-1506
pISSN - 1070-5325
DOI - 10.1002/nla.744
Subject(s) - polygon mesh , multigrid method , solver , smoothing , computer science , finite element method , flow (mathematics) , computational science , mathematics , domain decomposition methods , mathematical optimization , algorithm , partial differential equation , geometry , mathematical analysis , engineering , computer graphics (images) , structural engineering , computer vision
We present a parallel multigrid solver on locally refined meshes for solving very complex three‐dimensional flow problems. Besides describing the parallel implementation in detail, we prove the smoothing property of the suggested iteration for a simple model problem. For demonstration of the efficiency and feasibility of the solver, we show a chemically reactive flow simulation for a Methane burner using detailed chemical reaction modeling. Further, we give the results of an ocean flow simulation. All described methods are implemented in the finite element toolbox Gascoigne . Copyright © 2010 John Wiley & Sons, Ltd.