Pressure jump interface law for the Stokes-Darcy coupling: Confirmation by direct numerical simulations

TL;DR

This paper confirms through direct numerical simulations that a pressure jump interface law, recently derived analytically, accurately describes the stress behavior at the interface between viscous flow and porous media.

Contribution

The paper provides the first numerical validation of the recently derived pressure jump interface law for Stokes-Darcy coupling.

Findings

Numerical simulations confirm the pressure jump law at the interface.

The results support the theoretical derivation of the pressure jump law.

The study clarifies the stress behavior at the flow-porous media interface.

Abstract

It is generally accepted that the effective velocity of a viscous flow over a porous bed satisfies the Beavers-Joseph slip law. To the contrary, interface law for the effective stress has been a subject of controversy. Recently, a pressure jump interface law has been rigorously derived by Marciniak-Czochra and Mikeli\'c. In this paper, we provide a confirmation of the analytical result using direct numerical simulation of the flow at the microscopic level.