WEAK NONLINEAR CORRECTIONS FOR DARCY’S LAW

DOI10.1142/S021820259600047XzbMath0869.76085OpenAlexW2156506621MaRDI QIDQ3125108

Andro Mikelić, Eduard Marušić-Paloka, Alain Bourgeat

Publication date: 11 September 1997

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021820259600047x

zbMATH Keywords

asymptotic expansionperiodic porous mediumlocal Reynolds numbersecond-order error estimate

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Flows in porous media; filtration; seepage (76S05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

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Homogenization of the time discretized compressible Navier-Stokes system ⋮ Pore-to-core simulations of flow with large velocities using continuum models and imaging data ⋮ Multiscale topology optimization of modulated fluid microchannels based on asymptotic homogenization ⋮ Macroscopic model for unsteady flow in porous media ⋮ A nonlinear effective slip interface law for transport phenomena between a fracture flow and a porous medium ⋮ Homogenization of the fluid-structure interaction in acoustics of porous media perfused by viscous fluid ⋮ High Order Homogenization of the Stokes System in a Periodic Porous Medium ⋮ A note on finite deformation consolidation models.

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