Multiscale modelling and simulations of tissue perfusion using the Biot-Darcy-Brinkman model

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F21%3A43959944" target="_blank" >RIV/49777513:23520/21:43959944 - isvavai.cz</a>

Výsledek na webu

<a href="https://reader.elsevier.com/reader/sd/pii/S0045794920302078?token=5AF1E9BA6484C69F47C60DA039F5F60CCFE9CF14DFBADBD1D00B8499AE57761FFEC7FBA9B0ABCC819681433A004C0F6A&originRegion=eu-west-1&originCreation=20210608100631" target="_blank" >https://reader.elsevier.com/reader/sd/pii/S0045794920302078?token=5AF1E9BA6484C69F47C60DA039F5F60CCFE9CF14DFBADBD1D00B8499AE57761FFEC7FBA9B0ABCC819681433A004C0F6A&originRegion=eu-west-1&originCreation=20210608100631</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.compstruc.2020.106404" target="_blank" >10.1016/j.compstruc.2020.106404</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Multiscale modelling and simulations of tissue perfusion using the Biot-Darcy-Brinkman model

Popis výsledku v původním jazyce

We introduce a new mathematical model enabling to describe tissue perfusion whereby the microstructure is respected by virtue of effective model parameters. The proposed model entitled Biot-Darcy-multi-Brinkman (BDmB) is an extension of the recently derived Biot-Darcy-Brinkman model. The BDmB model enables to describe parallel flows in several mutually disconnected mesoscopic channels immersed in the mesoscopic poroelastic matrix where the flow is governed by the Darcy model. It is derived by the two-level homogenization of the microscopic fluid-structure interaction problem to respect the hierarchical structure of the two-phase medium. The second-level upscaling is explained, providing the macroscopic homogenized coefficients and the model equations. Boundary conditions are discussed. The model has been implemented in the finite element code SfePy which is well-suited for computational homogenization and solving coupled problems. It describes flows and deformations in the liver tissue with nearly periodic mesoscopic structure. Two mesoscopic channels are considered to represent the portal and hepatic vasculatures, while the matrix represents the sinusoidal porosity. Numerical simulations of stationary and nonstationary problems are reported with applications to the liver perfusion. Using numerical tests, the homogenized BDmB model is validated against direct simulations of heterogeneous mesoscopic structures.

Název v anglickém jazyce

Multiscale modelling and simulations of tissue perfusion using the Biot-Darcy-Brinkman model

Popis výsledku anglicky

We introduce a new mathematical model enabling to describe tissue perfusion whereby the microstructure is respected by virtue of effective model parameters. The proposed model entitled Biot-Darcy-multi-Brinkman (BDmB) is an extension of the recently derived Biot-Darcy-Brinkman model. The BDmB model enables to describe parallel flows in several mutually disconnected mesoscopic channels immersed in the mesoscopic poroelastic matrix where the flow is governed by the Darcy model. It is derived by the two-level homogenization of the microscopic fluid-structure interaction problem to respect the hierarchical structure of the two-phase medium. The second-level upscaling is explained, providing the macroscopic homogenized coefficients and the model equations. Boundary conditions are discussed. The model has been implemented in the finite element code SfePy which is well-suited for computational homogenization and solving coupled problems. It describes flows and deformations in the liver tissue with nearly periodic mesoscopic structure. Two mesoscopic channels are considered to represent the portal and hepatic vasculatures, while the matrix represents the sinusoidal porosity. Numerical simulations of stationary and nonstationary problems are reported with applications to the liver perfusion. Using numerical tests, the homogenized BDmB model is validated against direct simulations of heterogeneous mesoscopic structures.

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

COMPUTERS &amp; STRUCTURES

ISSN

0045-7949

e-ISSN

—

Svazek periodika

251

Číslo periodika v rámci svazku

15 July 2021

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

21

Strana od-do

1-21

Kód UT WoS článku

000707769900001

EID výsledku v databázi Scopus

2-s2.0-85106295134