Simplified mathematical models of fluid-structure-acoustic interaction problem motivated by human phonation process

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F25%3A00637105" target="_blank" >RIV/67985840:_____/25:00637105 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/68407700:21220/25:00384162

Výsledek na webu

<a href="http://dx.doi.org/10.21136/panm.2024.16" target="_blank" >http://dx.doi.org/10.21136/panm.2024.16</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.21136/panm.2024.16" target="_blank" >10.21136/panm.2024.16</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Simplified mathematical models of fluid-structure-acoustic interaction problem motivated by human phonation process

Popis výsledku v původním jazyce

Human phonation process represents an interesting and complex problem of fluid-structure-acoustic interaction, where the deformation of the vocal folds (elastic body) are interplaying with the fluid flow (air stream) and the acoustics. Due to its high complexity, two simplified mathematical models are described - the fluid-structure interaction (FSI) problem describing the self-induced vibrations of the vocal folds, and the fluid-structure-acoustic interaction (FSAI) problem, which also involves aeroacoustic phenomena. The FSI model is based on the incompressible Navier-Stokes equations in the ALE formulation coupled with the linear elasticity model. Both the fluid and structural models are approximated using finite element methods, and the influence of different inlet boundary conditions is discussed in detail. For the FSAI model, an aeroacoustic hybrid approach is used, incorporating the Lighthill analogy or the perturbed convective wave equation. The acoustic results strongly depend on the proper choice of the computational acoustic domain (i.e. vocal tract model). Further, the spatial and frequency distributions of sound sources computed from the FSI solution are compared for both used approaches. The final frequency spectra of acoustic pressure at the mouth position are also analyzed for both approaches.

Název v anglickém jazyce

Simplified mathematical models of fluid-structure-acoustic interaction problem motivated by human phonation process

Popis výsledku anglicky

Human phonation process represents an interesting and complex problem of fluid-structure-acoustic interaction, where the deformation of the vocal folds (elastic body) are interplaying with the fluid flow (air stream) and the acoustics. Due to its high complexity, two simplified mathematical models are described - the fluid-structure interaction (FSI) problem describing the self-induced vibrations of the vocal folds, and the fluid-structure-acoustic interaction (FSAI) problem, which also involves aeroacoustic phenomena. The FSI model is based on the incompressible Navier-Stokes equations in the ALE formulation coupled with the linear elasticity model. Both the fluid and structural models are approximated using finite element methods, and the influence of different inlet boundary conditions is discussed in detail. For the FSAI model, an aeroacoustic hybrid approach is used, incorporating the Lighthill analogy or the perturbed convective wave equation. The acoustic results strongly depend on the proper choice of the computational acoustic domain (i.e. vocal tract model). Further, the spatial and frequency distributions of sound sources computed from the FSI solution are compared for both used approaches. The final frequency spectra of acoustic pressure at the mouth position are also analyzed for both approaches.

Druh

D - Stať ve sborníku

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

—

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 statě ve sborníku

Programs and Algorithms of Numerical Mathematics 22 : Proceedings of Seminar

ISBN

978-80-85823-74-5

ISSN

—

e-ISSN

—

Počet stran výsledku

20

Strana od-do

169-187

Název nakladatele

Matematicky ustav AV CR, v. v. i.

Místo vydání

Praha

Místo konání akce

Hejnice

Datum konání akce

23. 6. 2024

Typ akce podle státní příslušnosti

EUR - Evropská akce

Kód UT WoS článku

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