BRUNEAU, Charles-Henri; LASSEUX, Didier; VALDÉS-PARADA, Francisco

doi:10.1007/s11012-020-01149-7

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BRUNEAU, Charles-Henri

LASSEUX, Didier

VALDÉS-PARADA, Francisco

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Meccanica. 2020-05, vol. 55, n° 5, p. 1061-1077

Springer Verlag

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This work is devoted to a numerical study of two-dimensional incompressible flows in afluid-porous medium system placed on an impermeable wall. Flow in the whole system is studiedeither at the pore scale or at the Darcy scale (using a one-domain approach) and the models atboth scales are solved with a penalization method using the same formal Navier-Stokes equationsmodified by a Darcy-like term. Several effective medium penalized models are considered for thesimulations. Various flow regimes are investigated ranging from laminar to turbulent. The velocityprofiles inside and outside the porous medium show significant discrepancies between the differentpenalization models compared to the direct numerical simulations. This work motivates furtherstudies about the spatial variations of the penalization coefficient to be introduced in the effectivemedium models in order to better reproduce the physics near the fluid-porous medium boundaries.< Réduire

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Fluid-porous media

Direct numerical simulation

Penalization method

Effective medium models.

Effective medium models

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Comparison between direct numerical simulations and effective models for fluid-porous flows using penalization

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