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.
@article{702666,
title = {An application of the BDDC method to the Navier-Stokes equations in 3-D cavity},
booktitle = {Programs and Algorithms of Numerical Mathematics},
series = {GDML\_Books},
publisher = {Institute of Mathematics AS CR},
address = {Prague},
year = {2015},
pages = {77-85},
url = {http://dml.mathdoc.fr/item/702666}
}
Hanek, Martin; Šístek, Jakub; Burda, Pavel. An application of the BDDC method to the Navier-Stokes equations in 3-D cavity, dans Programs and Algorithms of Numerical Mathematics, GDML_Books, (2015), pp. 77-85. http://gdmltest.u-ga.fr/item/702666/