Vibrations of nonlinear elastic structure excited by compressible flow

0543764 - ÚT 2022 RIV CH eng J - Journal Article
Balázsová, M. - Feistauer, M. - Horáček, Jaromír - Kosík, A.
Vibrations of nonlinear elastic structure excited by compressible flow.
Applied Sciences-Basel. Roč. 11, č. 11 (2021), č. článku 4748. E-ISSN 2076-3417
R&D Projects: GA ČR(CZ) GA20-01074S; GA ČR(CZ) GA19-04477S; GA MŠMT EF16_019/0000778
Institutional support: RVO:61388998
Keywords : nonlinear dynamic elasticity * non-stationary compressible Navier–Stokes equations * time-dependent domain * ALE method * space-time discontinuous Galerkin method * vocal folds vibrations
OECD category: Acoustics
Impact factor: 2.838, year: 2021
Method of publishing: Open access
https://www.mdpi.com/2076-3417/11/11/4748

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.
Permanent Link: http://hdl.handle.net/11104/0321111