The effect of irregular interfaces on the BDDC method for the Navier-Stokes equations

0473830 - MÚ 2018 RIV CH eng C - Conference Paper (international conference)
Hanek, M. - Šístek, Jakub - Burda, P.
The effect of irregular interfaces on the BDDC method for the Navier-Stokes equations.
Domain Decomposition Methods in Science and Engineering XXIII. Cham: Springer, 2017 - (Lee, C.; Cai, X.; Keyes, D.), s. 171-178. Lecture Notes in Computational Science and Engineering, 116. ISBN 978-3-319-52388-0. ISSN 1439-7358.
[23rd International Conference on Domain Decomposition Methods (DD23). Jeju Island (KR), 06.07.2015-10.07.2015]
R&D Projects: GA ČR GA14-02067S
Institutional support: RVO:67985840
Keywords : Navier Stokes equations * domain decomposition methods * hydrostatic bearings
OECD category: Applied mathematics
http://link.springer.com/chapter/10.1007%2F978-3-319-52389-7_16

We investigate the effect of interface irregularity on the convergence of the BDDC method for Navier-Stokes equations. A benchmark problem of a sequence of contracting channels is proposed to evaluate the robustness of the iterative solver with respect to element aspect ratios at the interface. Partitioners based on graph of the mesh and the geometry of the domain are compared. It is shown, that the convergence is significantly improved by avoiding irregular interfaces for the benchmark problem as well as for an industrial problem of oil flow in hydrostatic bearing.
Permanent Link: http://hdl.handle.net/11104/0270960