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Title: An application of the BDDC method to the Navier-Stokes equations in 3-D cavity (English)
Author: Hanek, Martin
Author: Šístek, Jakub
Author: Burda, Pavel
Language: English
Journal: Programs and Algorithms of Numerical Mathematics
Volume: Proceedings of Seminar. Dolní Maxov, June 8-13, 2014
Issue: 2014
Year:
Pages: 77-85
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Category: math
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Summary: 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. (English)
Keyword: incompressible fluid
Keyword: Navier-Stokes equations
Keyword: BDDC
Keyword: Taylor-Hood finite element
MSC: 65N55
MSC: 76D05
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Date available: 2015-04-20T06:11:41Z
Last updated: 2023-06-05
Stable URL: http://hdl.handle.net/10338.dmlcz/702666
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