Finite element approximation of fluid structure interaction using Taylor-Hood and Scott-Vogelius elements

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F24%3A00583300" target="_blank" >RIV/67985840:_____/24:00583300 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/68407700:21220/24:00378822

Výsledek na webu

<a href="http://dx.doi.org/10.14311/TPFM.2024.031" target="_blank" >http://dx.doi.org/10.14311/TPFM.2024.031</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.14311/TPFM.2024.031" target="_blank" >10.14311/TPFM.2024.031</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Finite element approximation of fluid structure interaction using Taylor-Hood and Scott-Vogelius elements

Popis výsledku v původním jazyce

This paper addresses the problem of fluid flow interacting a vibrating solid cylinder described by one degree of freedom system and with fixed airfoil. The problem is described by the incompressible Navier-Stokes equations written in the arbitrary Eulerian-Lagrangian (ALE) formulation. The ALE mapping is constructed with the use of a pseudo-elastic approach. The flow problem is numerically approximated by the finite element method (FEM). For discretization of the fluid flow, the results obtained by both the Taylor-Hood (TH) element and the Scott-Vogelius (SV) finite element are compared. The TH element satisfies the Babuška-Brezzi inf-sup condition, which guarantees the stability of the scheme. In the case of the SV element the mesh, that is created as a barycentric refinement of regular triangulation, is used to satisfy the Babuška-Brezzi condition. The numerical results for two benchmark problems are shown.

Název v anglickém jazyce

Finite element approximation of fluid structure interaction using Taylor-Hood and Scott-Vogelius elements

Popis výsledku anglicky

This paper addresses the problem of fluid flow interacting a vibrating solid cylinder described by one degree of freedom system and with fixed airfoil. The problem is described by the incompressible Navier-Stokes equations written in the arbitrary Eulerian-Lagrangian (ALE) formulation. The ALE mapping is constructed with the use of a pseudo-elastic approach. The flow problem is numerically approximated by the finite element method (FEM). For discretization of the fluid flow, the results obtained by both the Taylor-Hood (TH) element and the Scott-Vogelius (SV) finite element are compared. The TH element satisfies the Babuška-Brezzi inf-sup condition, which guarantees the stability of the scheme. In the case of the SV element the mesh, that is created as a barycentric refinement of regular triangulation, is used to satisfy the Babuška-Brezzi condition. The numerical results for two benchmark problems are shown.

Druh

D - Stať ve sborníku

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

<a href="/cs/project/GA22-01591S" target="_blank" >GA22-01591S: Matematická teorie a numerická analýza rovnic vazkých newtonovských stlačitelných tekutin</a><br>

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2024

Kód důvěrnosti údajů

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

Název statě ve sborníku

Topical Problems of Fluid Mechanics

ISBN

978-80-87012-88-8

ISSN

2336-5781

e-ISSN

—

Počet stran výsledku

8

Strana od-do

232-239

Název nakladatele

Institute of Thermomechanics AS CR, v. v. i.

Místo vydání

Prague

Místo konání akce

Prague

Datum konání akce

21. 2. 2024

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

001242655400031