Numerical Simulation of Flows in Porous Media Using a Microstructural Model
This work presents numerical results of flow simulations through granular media modelled by a regular assembly of monosized cylinders. The adopted numerical approach consists in determining the unknown coefficients of the analytical solution by using least square method in order to satisfy the boundary conditions. We examine the influence of the geometry of the medium on the microscopic and macroscopic quantities which are characteristic of the flow. At the microscopic scale of the elementary cell, the results show some regions of fluid recirculations between the obstacles. The presence of these regions may favour the retention of the substance carried by the fluid. Furthermore by means of a homogenization technique we have determined the macroscopic permeability and analysed its evolution for several assembly configurations.
KeywordsPorous Medium Flow Structure Elementary Cell Microstructural Model Porous Media Model
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