Abstract
Based on the volume averaging method, the local linearized macroscopic flow equation in porous media with inertia effect is derived, and the solution of Navier-Stokes equation with large Re can be obtained recursively, thus avoiding the problems of high computational cost and poor computational stability caused by solving Navier-Stokes equation directly. An example of a square periodic array model shows that the average velocity direction is not always consistent with the direction of the macroscopic pressure gradient.
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