Modelling wave dispersion in fluid saturating periodic scaffolds

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F21%3A43960233" target="_blank" >RIV/49777513:23520/21:43960233 - isvavai.cz</a>

Výsledek na webu

<a href="https://reader.elsevier.com/reader/sd/pii/S0096300321003349?token=2C63544A7C0815B5113B4E2502DD0AA2AD593CED8C5CCC0EC13FF20CF6656192A30903E22449550ADEB2998455EB34A9&originRegion=eu-west-1&originCreation=20211001055224" target="_blank" >https://reader.elsevier.com/reader/sd/pii/S0096300321003349?token=2C63544A7C0815B5113B4E2502DD0AA2AD593CED8C5CCC0EC13FF20CF6656192A30903E22449550ADEB2998455EB34A9&originRegion=eu-west-1&originCreation=20211001055224</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.amc.2021.126256" target="_blank" >10.1016/j.amc.2021.126256</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Modelling wave dispersion in fluid saturating periodic scaffolds

Popis výsledku v původním jazyce

Acoustic waves in a slightly compressible fluid saturating porous periodic structure are studied using two complementary approaches: 1) the periodic homogenization (PH) method provides effective model equations for a general dynamic problem imposed in a bounded medium, 2) harmonic acoustic waves are studied in an infinite medium using the Floquet-Bloch (FB) wave decomposition. In contrast with usual simplifications, the advection phenomenon of the Navier-Stokes equations is accounted for. For this, an acoustic approximation is applied to linearize the advection term. The homogenization results are based the periodic unfolding method combined with the asymptotic expansion technique providing a straight upscaling procedure which leads to the macroscopic model defined in terms of the effective model parameters. These are computed using the characteristic responses of the porous microstructure. Using the FB theory, we derive dispersion equations for the scaffolds saturated by the inviscid, or the viscous, barotropic fluids, whereby the advection due to a permanent flow in the porous structures is respected. A computational study is performed for the numerical models obtained using the finite element discretization. For the FB methods-based dispersion analysis, quadratic eigenvalue problems must be solved. The numerical examples show influences of the microstructure size and of the advection generating an anisotropy of the acoustic waves dispersion.

Název v anglickém jazyce

Modelling wave dispersion in fluid saturating periodic scaffolds

Popis výsledku anglicky

Acoustic waves in a slightly compressible fluid saturating porous periodic structure are studied using two complementary approaches: 1) the periodic homogenization (PH) method provides effective model equations for a general dynamic problem imposed in a bounded medium, 2) harmonic acoustic waves are studied in an infinite medium using the Floquet-Bloch (FB) wave decomposition. In contrast with usual simplifications, the advection phenomenon of the Navier-Stokes equations is accounted for. For this, an acoustic approximation is applied to linearize the advection term. The homogenization results are based the periodic unfolding method combined with the asymptotic expansion technique providing a straight upscaling procedure which leads to the macroscopic model defined in terms of the effective model parameters. These are computed using the characteristic responses of the porous microstructure. Using the FB theory, we derive dispersion equations for the scaffolds saturated by the inviscid, or the viscous, barotropic fluids, whereby the advection due to a permanent flow in the porous structures is respected. A computational study is performed for the numerical models obtained using the finite element discretization. For the FB methods-based dispersion analysis, quadratic eigenvalue problems must be solved. The numerical examples show influences of the microstructure size and of the advection generating an anisotropy of the acoustic waves dispersion.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

20302 - Applied mechanics

Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

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 MATHEMATICS AND COMPUTATION

ISSN

0096-3003

e-ISSN

—

Svazek periodika

410

Číslo periodika v rámci svazku

DEC 1 2021

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

29

Strana od-do

1-29

Kód UT WoS článku

000718889900002

EID výsledku v databázi Scopus

2-s2.0-85106318053