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A scalable block-preconditioning strategy for divergence-conforming B-spline discretizations of the Stokes problem [electronic resource].

Published
Washington, D.C. : United States. Dept. of Energy, 2016.
Oak Ridge, Tenn. : Distributed by the Office of Scientific and Technical Information, U.S. Dept. of Energy
Physical Description
pages 839-858 : digital, PDF file
Additional Creators
Oak Ridge National Laboratory, United States. Department of Energy, European Union, and United States. Department of Energy. Office of Scientific and Technical Information
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Summary
The recently introduced divergence-conforming B-spline discretizations allow the construction of smooth discrete velocity–pressure pairs for viscous incompressible flows that are at the same time inf–sup stable and pointwise divergence-free. When applied to the discretized Stokes problem, these spaces generate a symmetric and indefinite saddle-point linear system. The iterative method of choice to solve such system is the Generalized Minimum Residual Method. This method lacks robustness, and one remedy is to use preconditioners. For linear systems of saddle-point type, a large family of preconditioners can be obtained by using a block factorization of the system. In this paper, we show how the nesting of “black-box” solvers and preconditioners can be put together in a block triangular strategy to build a scalable block preconditioner for the Stokes system discretized by divergence-conforming B-splines. Lastly, besides the known cavity flow problem, we used for benchmark flows defined on complex geometries: an eccentric annulus and hollow torus of an eccentric annular cross-section.
Report Numbers
E 1.99:1399434
Subject(s)
Other Subject(s)
Note
Published through SciTech Connect.
10/19/2016.
"103354"
Computer Methods in Applied Mechanics and Engineering 316 ISSN 0045-7825 AM
Adriano M. Cortes; Lisandro Dalcin; Adel F. Sarmiento; Nathaniel O. Collier; Victor M. Calo.
Qatar Foundation
King Abdullah University of Science and Technology (KAUST)
Funding Information
AC05-00OR22725
7-1482-1-278
644602
View MARC record | catkey: 23504038