Vibrations of Nonlinear Elastic Structure Excited by Compressible Flow

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F21%3A00365832" target="_blank" >RIV/68407700:21340/21:00365832 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/61388998:_____/21:00543764

Výsledek na webu

<a href="https://doi.org/10.3390/app11114748" target="_blank" >https://doi.org/10.3390/app11114748</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.3390/app11114748" target="_blank" >10.3390/app11114748</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Vibrations of Nonlinear Elastic Structure Excited by Compressible Flow

Popis výsledku v původním jazyce

This study deals with the development of an accurate, efficient and robust method for the numerical solution of the interaction of compressible flow and nonlinear dynamic elasticity. This problem requires the reliable solution of flow in time-dependent domains and the solution of deformations of elastic bodies formed by several materials with complicated geometry depending on time. In this paper, the fluid-structure interaction (FSI) problem is solved numerically by the space-time discontinuous Galerkin method (STDGM). In the case of compressible flow, we use the compressible Navier-Stokes equations formulated by the arbitrary Lagrangian-Eulerian (ALE) method. The elasticity problem uses the non-stationary formulation of the dynamic system using the St. Venant-Kirchhoff and neo-Hookean models. The STDGM for the nonlinear elasticity is tested on the Hron-Turek benchmark. The main novelty of the study is the numerical simulation of the nonlinear vocal fold vibrations excited by the compressible airflow coming from the trachea to the simplified model of the vocal tract. The computations show that the nonlinear elasticity model of the vocal folds is needed in order to obtain substantially higher accuracy of the computed vocal folds deformation than for the linear elasticity model. Moreover, the numerical simulations showed that the differences between the two considered nonlinear material models are very small.

Název v anglickém jazyce

Vibrations of Nonlinear Elastic Structure Excited by Compressible Flow

Popis výsledku anglicky

This study deals with the development of an accurate, efficient and robust method for the numerical solution of the interaction of compressible flow and nonlinear dynamic elasticity. This problem requires the reliable solution of flow in time-dependent domains and the solution of deformations of elastic bodies formed by several materials with complicated geometry depending on time. In this paper, the fluid-structure interaction (FSI) problem is solved numerically by the space-time discontinuous Galerkin method (STDGM). In the case of compressible flow, we use the compressible Navier-Stokes equations formulated by the arbitrary Lagrangian-Eulerian (ALE) method. The elasticity problem uses the non-stationary formulation of the dynamic system using the St. Venant-Kirchhoff and neo-Hookean models. The STDGM for the nonlinear elasticity is tested on the Hron-Turek benchmark. The main novelty of the study is the numerical simulation of the nonlinear vocal fold vibrations excited by the compressible airflow coming from the trachea to the simplified model of the vocal tract. The computations show that the nonlinear elasticity model of the vocal folds is needed in order to obtain substantially higher accuracy of the computed vocal folds deformation than for the linear elasticity model. Moreover, the numerical simulations showed that the differences between the two considered nonlinear material models are very small.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

<a href="/cs/project/EF16_019%2F0000778" target="_blank" >EF16_019/0000778: Centrum pokročilých aplikovaných přírodních věd</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2021

Kód důvěrnosti údajů

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

Název periodika

Applied Sciences

ISSN

2076-3417

e-ISSN

2076-3417

Svazek periodika

11

Číslo periodika v rámci svazku

11

Stát vydavatele periodika

CH - Švýcarská konfederace

Počet stran výsledku

27

Strana od-do

—

Kód UT WoS článku

000659633400001

EID výsledku v databázi Scopus

2-s2.0-85106999635