Finite element method analysis of flutter: Comparing Scott-Vogelius and Taylor-Hood elements
The result's identifiers
Result code in 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>
Alternative codes found
RIV/68407700:21220/25:00384160
Result on the web
<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>
Alternative languages
Result language
angličtina
Original language name
Finite element method analysis of flutter: Comparing Scott-Vogelius and Taylor-Hood elements
Original language description
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.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
<a href="/en/project/GA22-01591S" target="_blank" >GA22-01591S: Mathematical theory and numerical analysis for equations of viscous newtonian compressible fluids</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of Computational and Applied Mathematics
ISSN
0377-0427
e-ISSN
1879-1778
Volume of the periodical
469
Issue of the periodical within the volume
December
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
10
Pages from-to
116662
UT code for WoS article
001462287500001
EID of the result in the Scopus database
2-s2.0-105001498825