Print Email Facebook Twitter Preconditioning for Linear Systems Arising from IgA Discretized Incompressible Navier-Stokes Equations Title Preconditioning for Linear Systems Arising from IgA Discretized Incompressible Navier-Stokes Equations Author Horníková, Hana (University of West Bohemia) Vuik, Cornelis (TU Delft Numerical Analysis) Contributor van Brummelen, H. (editor) Vuik, C. (editor) Möller, M. (editor) Verhoosel, C. (editor) Simeon, B. (editor) Date 2021 Abstract We deal with efficient techniques for numerical simulation of the incompressible fluid flow based on the Navier–Stokes equations discretized using the isogeometric analysis approach. Typically, the most time-consuming part of the simulation is solving the large saddle-point type linear systems arising from the discretization. These systems can be efficiently solved by Krylov subspace methods, but the choice of the preconditioner is crucial.In our study we test several preconditioners developed for the incompressible Navier–Stokes equations discretized by a finite element method, which can be found in the literature. We study their efficiency for the linear systems arising from the IgA discretization, where the matrix is usually less sparse compared to those from finite elements.Our aim is to develop a fast solver for a specific problem of flow in a water turbine. It brings several complications like periodic boundary conditions at nonparallel boundaries and computation in a rotating frame of reference. This makes the system matrix even less sparse with a more complicated sparsity pattern. To reference this document use: http://resolver.tudelft.nl/uuid:7ada82e0-0bad-48f1-91d3-f741c3688969 DOI https://doi.org/10.1007/978-3-030-49836-8_5 Publisher Springer, Cham Embargo date 2021-02-10 ISBN 978-3-030-49835-1 Source Isogeometric Analysis and Applications 2018 Event IGAA: Conference on Isogeometric Analysis and Applications, 2018-04-23 → 2018-04-26, TU Delft, Delft, Netherlands Series Lecture Notes in Computational Science and Engineering book series, 1439-7358, 133 Bibliographical note Green Open Access added to TU Delft Institutional Repository ‘You share, we take care!’ – Taverne project https://www.openaccess.nl/en/you-share-we-take-care Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public. Part of collection Institutional Repository Document type conference paper Rights © 2021 Hana Horníková, Cornelis Vuik Files PDF Horn_kov_Vuik2021_Chapter ... System.pdf 862.68 KB Close viewer /islandora/object/uuid:7ada82e0-0bad-48f1-91d3-f741c3688969/datastream/OBJ/view