Using extensive numerical simulation of the Navier–Stokes equations, we study the transition from the Darcy’s law for slow flow of fluids through a disordered porous medium to the nonlinear flow regime in which the effect of inertia cannot be neglected. The porous medium is represented by twodimensional slices of a threedimensional image of a sandstone. We study the problem over wide ranges of porosity and the Reynolds number, as well as two types of boundary conditions, and compute essential features of fluid flow, namely, the strength of the vorticity, the effective permeability of the pore space, the frictional drag, and the relationship between the macroscopic pressure gradient
For polyhedral constrained optimization problems and a feasible point
 Award ID(s):
 2031213
 NSFPAR ID:
 10415087
 Publisher / Repository:
 Springer Science + Business Media
 Date Published:
 Journal Name:
 Mathematical Programming
 Volume:
 205
 Issue:
 12
 ISSN:
 00255610
 Format(s):
 Medium: X Size: p. 107134
 Size(s):
 p. 107134
 Sponsoring Org:
 National Science Foundation
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