A comparison of block preconditioners for isogeometric analysis discretizations of the incompressible Navier-Stokes equations

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F21%3A43961333" target="_blank" >RIV/49777513:23520/21:43961333 - isvavai.cz</a>

Result on the web

<a href="https://onlinelibrary.wiley.com/doi/abs/10.1002/fld.4952" target="_blank" >https://onlinelibrary.wiley.com/doi/abs/10.1002/fld.4952</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1002/fld.4952" target="_blank" >10.1002/fld.4952</a>

Result language

angličtina

Original language name

A comparison of block preconditioners for isogeometric analysis discretizations of the incompressible Navier-Stokes equations

Original language description

We deal with numerical solution of the incompressible Navier-Stokes equations discretized using the isogeometric analysis (IgA) approach. Similarly to finite elements, the discretization leads to sparse nonsymmetric saddle-point linear systems. The IgA discretization basis has several specific properties different from standard FEM basis, most importantly a higher interelement continuity leading to denser matrices. We are interested in iterative solution of the resulting linear systems using a Krylov subspace method (GMRES) preconditioned with several state-of-the-art block preconditioners. We compare the efficiency of the ideal versions of these preconditioners for three model problems (for both steady and unsteady flow in two and three dimensions) and investigate their properties with focus on the IgA specifics, that is, various degree and continuity of the discretization basis. Our experiments show that the block preconditioners can be successfully applied to the systems arising from high continuity IgA, moreover, that the high continuity can bring some benefits in this context. For example, some of the preconditioners, whose convergence is h-dependent in the steady case, seem to be less sensitive to the mesh refinement for higher continuity discretizations. In the unsteady case, we generally get faster convergence for higher continuity than for C0 continuous discretizations of the same degree for most of the preconditioners.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

10102 - Applied mathematics

Project

<a href="/en/project/GA19-04006S" target="_blank" >GA19-04006S: Modern geometric-numerical methods in simulation of incompressible turbulent flow for large-scale real-world problems</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2021

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS

ISSN

0271-2091

e-ISSN

—

Volume of the periodical

93

Issue of the periodical within the volume

6

Country of publishing house

US - UNITED STATES

Number of pages

27

Pages from-to

1788-1815

UT code for WoS article

000610870500001

EID of the result in the Scopus database

2-s2.0-85099655860