Shape sensitivity analysis of a 2D fluid-structure interaction problem

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F23%3A00576358" target="_blank" >RIV/67985840:_____/23:00576358 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/s10957-023-02213-4" target="_blank" >https://doi.org/10.1007/s10957-023-02213-4</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10957-023-02213-4" target="_blank" >10.1007/s10957-023-02213-4</a>

Result language
angličtina
Original language name
Shape sensitivity analysis of a 2D fluid-structure interaction problem
Original language description
We study the shape differentiability of a general functional depending on the solution of a bidimensional stationary Stokes-elasticity system with small loads, with respect to the reference domain of the elastic structure immersed in a viscous fluid. The differentiability with respect to reference elastic domain variations is considered under shape perturbations with diffeomorphisms. The shape derivative is then calculated with the use of the velocity method. This derivative involves the material derivatives of the solution of this fluid–structure interaction problem. The adjoint method is then used to obtain a simplified expression for the shape derivative.
Czech name
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Czech description
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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

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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