Finite element method analysis of flutter: Comparing Scott-Vogelius and Taylor-Hood elements

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F25%3A00619399" target="_blank" >RIV/67985840:_____/25:00619399 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/68407700:21220/25:00384160

Výsledek na webu

<a href="https://doi.org/10.1016/j.cam.2025.116662" target="_blank" >https://doi.org/10.1016/j.cam.2025.116662</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.cam.2025.116662" target="_blank" >10.1016/j.cam.2025.116662</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Finite element method analysis of flutter: Comparing Scott-Vogelius and Taylor-Hood elements

Popis výsledku v původním jazyce

This paper focuses on the numerical simulation of the fluid–structure interaction (FSI) problem of an incompressible flow and a vibrating airfoil. The fluid flow is governed by the incompressible Navier-Stokes equations. The finite element method (FEM) is employed for the discretization of the weak form of equations. The main attention is paid to comparison of performance for different choices of finite element spaces together with a proper stabilization method. Two choices of the couple of finite element spaces are considered for velocity–pressure approximations. The first one is the standard Taylor-Hood finite element, the second one is the Scott-Vogelius element consisting of continuous piecewise quadratic velocities combined with discontinuous piecewise linear pressures. The barycentric refined mesh is used for the case of the Scott-Vogelius element in order to satisfy the Babuška-Brezzi inf-sup condition. The finite element approximations further require additional stabilization of the dominating convection. Here, the performance of the stream-line upwind Petrov-Galerkin (SUPG) stabilization, the SUPG together with the grad-div stabilization, the streamline-diffusion/local-projection stabilization approach is tested. The numerical results are presented and compared with the available data.

Název v anglickém jazyce

Finite element method analysis of flutter: Comparing Scott-Vogelius and Taylor-Hood elements

Popis výsledku anglicky

This paper focuses on the numerical simulation of the fluid–structure interaction (FSI) problem of an incompressible flow and a vibrating airfoil. The fluid flow is governed by the incompressible Navier-Stokes equations. The finite element method (FEM) is employed for the discretization of the weak form of equations. The main attention is paid to comparison of performance for different choices of finite element spaces together with a proper stabilization method. Two choices of the couple of finite element spaces are considered for velocity–pressure approximations. The first one is the standard Taylor-Hood finite element, the second one is the Scott-Vogelius element consisting of continuous piecewise quadratic velocities combined with discontinuous piecewise linear pressures. The barycentric refined mesh is used for the case of the Scott-Vogelius element in order to satisfy the Babuška-Brezzi inf-sup condition. The finite element approximations further require additional stabilization of the dominating convection. Here, the performance of the stream-line upwind Petrov-Galerkin (SUPG) stabilization, the SUPG together with the grad-div stabilization, the streamline-diffusion/local-projection stabilization approach is tested. The numerical results are presented and compared with the available data.

Druh

J_imp - Článek v periodiku v databázi Web of Science

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

2025

Kód důvěrnosti údajů

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

Název periodika

Journal of Computational and Applied Mathematics

ISSN

0377-0427

e-ISSN

1879-1778

Svazek periodika

469

Číslo periodika v rámci svazku

December

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

10

Strana od-do

116662

Kód UT WoS článku

001462287500001

EID výsledku v databázi Scopus

2-s2.0-105001498825