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

• Verfasst von: Kimmritz, Madlen [VerfasserIn]
• Verfasst von: Richter, Thomas [VerfasserIn]
• Titel: Parallel multigrid method for finite element simulations of complex flow problems on locally refined meshes
• Verf.angabe: Madlen Kimmritz and Thomas Richter
• Jahr: 2011
• Umfang: 22 S.
• Fussnoten: Published online 28 August 2010 ; Gesehen am 04.08.2022
• Titel Quelle: Enthalten in: Numerical linear algebra with applications
• Ort Quelle: New York, NY [u.a.] : Wiley, 1994
• Jahr Quelle: 2011
• Band/Heft Quelle: 18(2011), 4, Seite 615-636
• ISSN Quelle: 1099-1506
• DOI: doi:10.1002/nla.744
• Datenträger: Online-Ressource
• Sprache: eng
• Sach-SW: adaptive finite elements
• Sach-SW: computation hydrodynamics
• Sach-SW: flow simulation
• Sach-SW: multigrid
• Sach-SW: parallelization
• Sach-SW: reactive flows
• K10plus-PPN: 1813223521

Abstract

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.