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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

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • 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 &amp; STRUCTURES

  • ISSN

    0045-7949

  • e-ISSN

  • 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