A Darcy-Brinkman model of flow in double porous media – Two-level homogenization and computational modelling

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F18%3A43933075" target="_blank" >RIV/49777513:23520/18:43933075 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1016/j.compstruc.2017.08.006" target="_blank" >http://dx.doi.org/10.1016/j.compstruc.2017.08.006</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.compstruc.2017.08.006" target="_blank" >10.1016/j.compstruc.2017.08.006</a>

Jazyk výsledku

angličtina

Název v původním jazyce

A Darcy-Brinkman model of flow in double porous media – Two-level homogenization and computational modelling

Popis výsledku v původním jazyce

The present paper deals with the two-level homogenization of the flow in the rigid double-porous structure described at two characteristic scales: the higher level porosity associated with the mesoscopic structure is constituted by channels in a rigid skeleton which is made of a microporous material. The macroscopic flow model is derived by the asymptotic analysis of the model with respect to two small parameters. The upscaling procedure based on the periodic unfolding is performed in two steps: first the Stokes flow in microchannels interacting with the mesoscopic flow is homogenized, following the idea of Cioranescu et al. (2005). This yields a coupled Darcy-Stokes system of equations governing the mesoscopic flow with simplified Saffman’s transmission conditions on the interface between the two porosities. The second step of the homogenization leads to a macroscopic flow model which attains the form of the Darcy-Brinkman model involving the effective parameters given by the microporosity features. The multiscale reconstruction of the flow at the meso- and micro-scale levels is presented. The model has been implemented in our finite element code SfePy which is well-suited for computational homogenization. Numerical illustrations of the proposed model are included.

Název v anglickém jazyce

A Darcy-Brinkman model of flow in double porous media – Two-level homogenization and computational modelling

Popis výsledku anglicky

The present paper deals with the two-level homogenization of the flow in the rigid double-porous structure described at two characteristic scales: the higher level porosity associated with the mesoscopic structure is constituted by channels in a rigid skeleton which is made of a microporous material. The macroscopic flow model is derived by the asymptotic analysis of the model with respect to two small parameters. The upscaling procedure based on the periodic unfolding is performed in two steps: first the Stokes flow in microchannels interacting with the mesoscopic flow is homogenized, following the idea of Cioranescu et al. (2005). This yields a coupled Darcy-Stokes system of equations governing the mesoscopic flow with simplified Saffman’s transmission conditions on the interface between the two porosities. The second step of the homogenization leads to a macroscopic flow model which attains the form of the Darcy-Brinkman model involving the effective parameters given by the microporosity features. The multiscale reconstruction of the flow at the meso- and micro-scale levels is presented. The model has been implemented in our finite element code SfePy which is well-suited for computational homogenization. Numerical illustrations of the proposed model are included.

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

2018

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

207

Číslo periodika v rámci svazku

September 2018

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

16

Strana od-do

95-110

Kód UT WoS článku

000447109600009

EID výsledku v databázi Scopus

2-s2.0-85032229910