Parallel multigrid method for finite element simulations of complex flow problems on locally refined meshes

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 efficie...

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Bibliographic Details
Main Authors: Kimmritz, Madlen (Author) , Richter, Thomas (Author)
Format: Article (Journal)
Language:English
Published: 2011
In: Numerical linear algebra with applications
Year: 2011, Volume: 18, Issue: 4, Pages: 615-636
ISSN:1099-1506
DOI:10.1002/nla.744
Online Access:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1002/nla.744
Verlag, lizenzpflichtig, Volltext: https://onlinelibrary.wiley.com/doi/abs/10.1002/nla.744
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Author Notes:Madlen Kimmritz and Thomas Richter

MARC

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520 |a 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. 
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