每年出版 6 期
ISSN 打印: 1543-1649
ISSN 在线: 1940-4352
Indexed in
VARIATIONALLY CONSISTENT HOMOGENIZATION OF STOKES FLOWIN POROUS MEDIA
摘要
Seepage through a strongly heterogeneous material, consisting of open saturated pores, is modeled as a Stokes flow contained in a rigid matrix. Through homogenization of the problem, a two-scale formulation is derived. The subscale problem is that of a Stokes flow whereas the macroscale problem pertains to a Darcy flow. The prolongation of the macroscale Darcy flow fulfills the variational consistent macrohomogeniety condition and is valid for both linear and nonlinear subscale flows. The subscale problem is solved using the finite element method. Numerical results concerning both linear and nonlinear flow are presented.
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Öhman Mikael, Runesson Kenneth, Larsson Fredrik, On the variationally consistent computational homogenization of elasticity in the incompressible limit, Advanced Modeling and Simulation in Engineering Sciences, 2, 1, 2015. Crossref
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Kolařík F., Patzák B., Zeman J., Numerical modeling of fresh concrete flow through porous medium, 1738, 2016. Crossref
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Ostoja-Starzewski M., Kale S., Karimi P., Malyarenko A., Raghavan B., Ranganathan S.I., Zhang J., , 49, 2016. Crossref
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Öhman Mikael, Larsson Fredrik, Runesson Kenneth, Computational homogenization of liquid-phase sintering based on a mixed variational format, GAMM-Mitteilungen, 39, 2, 2016. Crossref
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Sandström Carl, Larsson Fredrik, On bounded approximations of periodicity for computational homogenization of Stokes flow in porous media, International Journal for Numerical Methods in Engineering, 109, 3, 2017. Crossref
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Kolařík F., Patzák B., Zeman J., Computational homogenization of fresh concrete flow around reinforcing bars, Computers & Structures, 207, 2018. Crossref
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Rasoulzadeh Mojdeh, Al Hubail Mustafa Makki H., Deng Hang, Kuchuk Fikri J., Hydrodynamic driven dissolution in porous media with embedded cavities, Physics of Fluids, 32, 7, 2020. Crossref
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Sandstöm Carl, Larsson Fredrik, Runesson Kenneth, Weakly periodic boundary conditions for the homogenization of flow in porous media, Advanced Modeling and Simulation in Engineering Sciences, 1, 1, 2014. Crossref
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Bharali Ritukesh, Larsson Fredrik, Jänicke Ralf, Computational homogenisation of phase-field fracture, European Journal of Mechanics - A/Solids, 88, 2021. Crossref