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

中文翻译：

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使用惩罚的流体多孔流动直接数值模拟与有效模型的比较

这项工作致力于对放置在不渗透壁上的流体多孔介质系统中的二维不可压缩流动进行数值研究。在孔隙尺度或达西尺度（使用单域方法）研究整个系统中的流动，并且两个尺度的模型都使用惩罚方法求解，使用相同的形式 Navier-Stokes 方程，由 Darcy-像术语。模拟中考虑了几种有效的中等惩罚模型。研究了从层流到湍流的各种流态。与直接数值模拟相比，多孔介质内部和外部的速度分布显示出不同惩罚模型之间的显着差异。