Space-time discontinuous Galerkin method for the solution of fluid-structure interaction

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F18%3A10384494" target="_blank" >RIV/00216208:11320/18:10384494 - isvavai.cz</a>

Alternative codes found

RIV/61388998:_____/18:00498915

Result on the web

<a href="https://link.springer.com/article/10.21136%2FAM.2018.0139-18" target="_blank" >https://link.springer.com/article/10.21136%2FAM.2018.0139-18</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.21136/AM.2018.0139-18" target="_blank" >10.21136/AM.2018.0139-18</a>

Result language

angličtina

Original language name

Space-time discontinuous Galerkin method for the solution of fluid-structure interaction

Original language description

The paper is concerned with the application of the space-time discontinuous Galerkin method (STDGM) to the numerical solution of the interaction of a compressible flow and an elastic structure. The flow is described by the system of compressible Navier- Stokes equations written in the conservative form. They are coupled with the dynamic elasticity system of equations describing the deformation of the elastic body, induced by the aerodynamical force on the interface between the gas and the elastic structure. The domain occupied by the fluid depends on time. It is taken into account in the Navier- Stokes equations rewritten with the aid of the arbitrary Lagrangian-Eulerian (ALE) method. The resulting coupled system is discretized by the STDGM using piecewise polynomial approximations of the sought solution both in space and time. The developed method can be applied to the solution of the compressible flow for a wide range of Mach numbers and Reynolds numbers. For the simulation of elastic deformations two models are used: the linear elasticity model and the nonlinear neo-Hookean model. The main goal is to show the robustness and applicability of the method to the simulation of the air flow in a simplified model of human vocal tract and the flow induced vocal folds vibrations. It will also be shown that in this case the linear elasticity model is not adequate and it is necessary to apply the nonlinear model.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

10102 - Applied mathematics

Project

Result was created during the realization of more than one project. More information in the Projects tab.

Continuities

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

Publication year

2018

Confidentiality

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

Name of the periodical

Applications of Mathematics

ISSN

0862-7940

e-ISSN

—

Volume of the periodical

2018

Issue of the periodical within the volume

63

Country of publishing house

CZ - CZECH REPUBLIC

Number of pages

26

Pages from-to

739-764

UT code for WoS article

000453844300008

EID of the result in the Scopus database

2-s2.0-85058990168