Effective coupling conditions for arbitrary flows in Stokes-Darcy systems

06/22/2020
by   Elissa Eggenweiler, et al.
0

Boundary conditions at the interface between the free-flow region and the adjacent porous medium is a key issue for physically consistent modeling and accurate numerical simulation of flow and transport processes in coupled systems due to the interface driven nature of such processes. Interface conditions available in the literature have several weak points: most of them are suitable only for flows parallel to the fluid-porous interface, some are restricted to specific boundary value problems, and others contain unknown model parameters which still need to be determined. These facts severely restrict the variety of applications that can be successfully modeled. We propose new interface conditions which are valid for arbitrary flow directions. These coupling conditions are rigorously derived using the theory of homogenization and boundary layers. All effective parameters appearing in these conditions are computed numerically based on the geometrical configuration of the coupled system. The developed conditions are validated by comparison of numerical simulation results for the coupled Stokes-Darcy model and the pore-scale resolved model. In addition, the new interface conditions are compared with the classical conditions to demonstrate the advantage of the proposed conditions.

READ FULL TEXT
POST COMMENT

Comments

There are no comments yet.

Authors

page 1

page 2

page 3

page 4

04/06/2021

Analysis of the Stokes-Darcy problem with generalised interface conditions

Fluid flows in coupled systems consisting of a free-flow region and the ...
06/17/2019

Validation and calibration of coupled porous-medium and free-flow problems using pore-scale resolved models

The correct choice of interface conditions and effective parameters for ...
06/29/2021

Computation of the Beavers-Joseph slip coefficient for coupled Stokes/Darcy problems

Physically consistent coupling conditions at the fluid-porous interface ...
02/07/2019

On interface conditions for flows in coupled free-porous media

Many processes in nature (e.g., physical and biogeochemical processes in...
12/21/2021

Coupling staggered-grid and vertex-centered finite-volume methods for coupled porous-medium free-flow problems

In this work, a new discretization approach for coupled free and porous-...
06/25/2021

Uncertainty-aware Validation Benchmarks for Coupling Free Flow and Porous-Medium Flow

A correct choice of interface conditions and useful model parameters for...
02/06/2014

Tracking via Motion Estimation with Physically Motivated Inter-Region Constraints

In this paper, we propose a method for tracking structures (e.g., ventri...
This week in AI

Get the week's most popular data science and artificial intelligence research sent straight to your inbox every Saturday.