A Darcy-Brinkman model of flow in double porous media – Two-level homogenization and computational modelling
The result's identifiers
Result code in 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>
Result on the web
<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>
Alternative languages
Result language
angličtina
Original language name
A Darcy-Brinkman model of flow in double porous media – Two-level homogenization and computational modelling
Original language description
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.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - 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
Result continuities
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)
Others
Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
COMPUTERS & STRUCTURES
ISSN
0045-7949
e-ISSN
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Volume of the periodical
207
Issue of the periodical within the volume
September 2018
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
16
Pages from-to
95-110
UT code for WoS article
000447109600009
EID of the result in the Scopus database
2-s2.0-85032229910