Original title: An application of the BDDC method to the Navier-Stokes equations in 3-D cavity
Authors: Hanek, M. ; Šístek, Jakub ; Burda, P.
Document type: Papers
Conference/Event: Programs and Algorithms of Numerical Mathematics /17./, Dolní Maxov (CZ), 2014-06-08 / 2014-06-13
Year: 2015
Language: eng
Abstract: We deal with numerical simulation of incompressible flow governed by the Navier-Stokes equations. The problem is discretised using the finite element method, and the arising system of nonlinear equations is solved by Picard iteration. We explore the applicability of the Balancing Domain Decomposition by Constraints (BDDC) method to nonsymmetric problems arising from such linearisation. One step of BDDC is applied as the preconditioner for the stabilized variant of the biconjugate gradient (BiCGstab) method. We present results for a 3-D cavity problem computed on 32 cores of a parallel supercomputer.
Keywords: BDDC; incompressible fluid; Navier-Stoken equations; Taylor-Hood finite element
Project no.: GA14-02067S (CEP)
Funding provider: GA ČR
Host item entry: Programs and algorithms of numerical mathematics 17. Proceedings of seminar, ISBN 978-80-85823-64-6
Note: Související webová stránka: http://hdl.handle.net/10338.dmlcz/702666

Institution: Institute of Mathematics AS ČR (web)
Document availability information: Fulltext is available in the digital repository of the Academy of Sciences.
Original record: http://hdl.handle.net/11104/0246499

Permalink: http://www.nusl.cz/ntk/nusl-187447


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