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

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

<a href="/cs/project/GA19-04006S" target="_blank" >GA19-04006S: Moderní geometricko-numerické metody v simulaci nestlačitelného turbulentního proudění pro reálné úlohy velkého rozsahu</a><br>

Návaznosti

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

Rok uplatnění

2021

Kód důvěrnosti údajů

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

Název periodika

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS

ISSN

0271-2091

e-ISSN

—

Svazek periodika

93

Číslo periodika v rámci svazku

6

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

27

Strana od-do

1788-1815

Kód UT WoS článku

000610870500001

EID výsledku v databázi Scopus

2-s2.0-85099655860