An application of the BDDC method to the Navier-Stokes equations in 3-D cavity

0443848 - MÚ 2016 RIV CZ eng C - Conference Paper (international conference)
Hanek, M. - Šístek, Jakub - Burda, P.
An application of the BDDC method to the Navier-Stokes equations in 3-D cavity.
Programs and algorithms of numerical mathematics 17. Proceedings of seminar. Praha: Matematický ústav AV ČR, v.v.i, 2015 - (Chleboun, J.; Přikryl, P.; Segeth, K.; Šístek, J.; Vejchodský, T.), s. 77-85. ISBN 978-80-85823-64-6.
[Programs and Algorithms of Numerical Mathematics /17./. Dolní Maxov (CZ), 08.06.2014-13.06.2014]
R&D Projects: GA ČR GA14-02067S
Institutional support: RVO:67985840
Keywords : incompressible fluid * Navier-Stoken equations * BDDC * Taylor-Hood finite element
Subject RIV: BA - General Mathematics
http://hdl.handle.net/10338.dmlcz/702666

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.
Permanent Link: http://hdl.handle.net/11104/0246499