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

Result code in 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>

Result on the web

<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>

Result language

angličtina

Original language name

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

Original language description

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.

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

20302 - Applied mechanics

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

2021

Confidentiality

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

Name of the periodical

COMPUTERS &amp; STRUCTURES

ISSN

0045-7949

e-ISSN

—

Volume of the periodical

251

Issue of the periodical within the volume

15 July 2021

Country of publishing house

GB - UNITED KINGDOM

Number of pages

21

Pages from-to

1-21

UT code for WoS article

000707769900001

EID of the result in the Scopus database

2-s2.0-85106295134